loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.22: download - view: text, annotated - select for diffs
Mon Nov 1 00:04:09 2010 UTC (13 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD

Clean up debugging
First and second derivative calculation and interpolation

1: # LearningOnline Network with CAPA 2: # option list style responses 3: # 4: # $Id: functionplotresponse.pm,v 1.22 2010/11/01 00:04:09 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: 35: BEGIN { 36: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline','splinerule')); 37: } 38: 39: # 40: # There can be a number of applets on a page, each called ggbApplet_$id, 41: # where $id is the "_"-concatenated part and responseid 42: # 43: 44: sub geogebra_startcode { 45: my ($id)=@_; 46: return (<<ENDSTARTCODE); 47: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar" 48: codebase="/adm/geogebra/" width="714" height="447" MAYSCRIPT> 49: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/> 50: ENDSTARTCODE 51: } 52: 53: sub geogebra_endcode { 54: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n"; 55: } 56: 57: # 58: # This is the internal GeoGebra bytecode which defines the spline functions 59: # 60: sub geogebra_spline_program { 61: return (<<ENDSPLINEPROGRAM); 62: <param name="ggbBase64" value="UEsDBBQACAAIADhQET0AAAAAAAAAAAAAAAASAAAAZ2VvZ2VicmFfbWFjcm8ueG1s7Z1bb+PGGYavk19BMDfexkvP+QCsEqzOuWi7gIveBG1By7RXrSwJsqyY+fWdGZLS2pQtzdqWSPoDApOSqCH5vSTnmdH7bj79en8zCVbJ4nY8m7ZCHKEwSKaj2eV4et0K75ZXH1X46y8/frpOZtfJxSIOrmaLm3jZCmlEQvP+TTxazILRzeXf4pukFZ7PJ+NpQsJgOZtNtrw1TCbz9Vu/f8Gn5/j0Czk9J/8Kg/FoNu2PJ+YrYXD7dfbHb9N/mG+040UrXC7ukvXefpvO75ZBjFrh5zCIsVnEZklaYdssqFnE4Vmx7d/vluuNV9nW7VW29ee228zs9NY0P1qa8w+W42W2//hu+XW2sGuX8dK+Y7ZMJslNMl0Gy3Ru3pnPxtNlGEzii2Rij+SXH3/4ZI86mF38Nxkt82MuPr+KJ7eJ3d8Pn8znndlktghM86bY1+7vhfsbT+ZfY7NmRHCbTuI0WQSreGI/zd8xzf11dpk8eDeejo0m9gRul8ncNoBNCedJcpkrmh2yWZmbJp2y3xzQaDZbXN4G962QRBwhKpEginGFJA2DtBWyiDPNJOVYEiwFEmHwZ9au+7orxPn4z/yQqKvqWV6sHWVrN6JsLMIIESqJ4EIiJiXP6yYoUoQIoYggFPHXq5u54l9cOML58UtHIkW4FJJQIqhQQrrK8UhizqRCmHPCNCeveMU1pXIsYlIrIYS57jBhiOWV4+ZdLZCWGEtMsGfl7ueL5NZ2BUU54ov/3Jse4X6erZ7cfwhawQmJUPCX4P7fJzRCH4KPAS1eE/v65wDbhXnj5LN9xd2nJ5vNyaPN7/ONY/OZ+8bJx4d7+PnhHrLN21vbfriJbbH9IQzOSpfF1d3UPfPDB2fqdDN90/kynSTB8ut49L+pKYjRfCPMWekCygQqGnKX01s9s/Y4uJ2CphtBUz9BUx9BUz9B092Cpr6Cpo0TdDS7uYmnl8HUsVXnbrFKOvFimdyO46k72fGajtz9uvyQUY/T2r0w6LPMQMkeaxCzb54Ps29wKcOjs3yHpXKP7K5H612ve6b20yUXz5V8n4ewe/C+WdHFnkX/pzne2eJRsTcoWirk6vlCrrLm1gVcfec1e9BebNMPoYgSTrUQiGGppGbYdUQ4wuYtxJhW1IAk4xk1bna0z/m5vWRb3dq/5qpbX3BZAZbm9RfbqWVPtM/foVw7HxaUlWv7Kdeun3JSC6KphS2sDb1m3IoizbTVjCjFmcJcH0K69mPpzr4dmdnXbkD31JCTloectDzkpN8OOU+/0NNz+roDT/c47ZgFN4v9xqGdVfbtz+3s2+0OjEvL41IimZLIAK151FAN41IYl771uJSbxx8VWFCsGKUwLoVxKYxLYVwK41IYl8K4tB6jGxiXwrj09celz1FcpxHjBoO53CCvMIMGwoSF3WLcYCCOasSxZlRJX4Z7rm5NoV8REcwpNhUiihJRwK+gDJurVjCmEOHspfB7MVrDr131hd/tPPME/OZksy/8dnbDb8e22NmPldyZNo2VtgqabgT1hl8PQVM/QdPdgqa+gr5r+HX3awG/Tmsf+M3nBn3ht915n/DbycrcKSNUxw+hOrVDKGanWhQnhCshCOO0QCgpsNIKGzYWVBF1CITqvGxqn5Wn9ll5ap/9/uWn0/OfTqMoetMp/SAWrbBrFtIs/Gb4u6usMTfTz91t6VrrdGHGH2b8YcYfZvxrWTmY8YcZf5jxhxl/mPGvxKAHZvxhxr9+ysGM/5Fn/IkkBBFlBg7M3CpvPWxo0IQ/VgprpZDGHBeRKR4JZMeuTCGLxkrBjD/M+MOMf3MEhRn/asIvzPhXc8b/ORboNgKhpBHAkpJiBCsm1JvPvHabglAykgafBGdMmCuUSV3MH3IipZaYMso5961cqccdXa4Ryq76ItT2XvEJhMr7x30Rqrsbobq2xe5+Pa4706b1uFsFTTeCeiOUh6Cpn6DpbkFTX0HfNUK5+7VAKKe1D0LlP6/6IlSn+z4RqpuVuVtGqK4fQnVrh1AP5w+pLAiKYM0lYhxLs8Uh+Kn7WDc/xwQvOyZ42THBj+OYCGLVCntmoc3i+wwUvVXWuDNSiNxIId0t61rv9lyzYKgAQwUYKsBQUbfKgaECDBVgqABDBRgqKjEgAkMFGCrqpxwYKsBQUUf4BUMFGCrAUAGGCjBUVAJ+wVABhorjgAAYKsBQAYaKQyIUGCpqLSgYKqqJUGCoqKCh4jkQ6DWCn3SEsZAGk5j5iwghxS/+UnClNULmD5av+Ptrryn8pCNmmFMwxZH9585w8T+lYYxR7C5lpIl+KT5dJmt8squ++LS9R3wCn/K+cV986u3Gp55tsbdfb+vOtGm97VZB042g3vjkIWjqJ2i6W9DUV9B3jU/ufi3wyWntg0+5O80Xn7q994lPvazMvTI+9fzwqVdzfOJM5PykhJSEmcG8wgjjg0xA9R4r5+dIFWVHqig7UkUlHKmmDdNW3y5NY/2XWVT7q2xvzqoqc6uqyq2q2t3V2f56fbcf8KyCZxU8q+BZrVvlwLMKnlXwrIJnFTyrlRg0gWcVPKv1Uw48q+BZrSP8gmcVPKvgWQXPKnhWKwG/4FkFz+pxQAA8q+BZBc/qIREKPKu1FhQ8q9VEKPCsgmf1CBQAnlXwrIJnFTyr4FkFz2qd8Qk8q5X0rD5HAv1GABRGkZTI1FpwTKnBpmICClGJBFGMKySp7y9Rz5WtKQCFcYSlFJgyJDjXhNM3Iajkak1QdtWXoLZ3ik8QVN497ktQ/d0E1bct9vfrcN2ZNq3D3SpouhHUm6A8BE39BE13C5r6CvquCcrdrwVBOa19CCr39/sSVK//Pgmqn5W5Xyaovh9B9WtHUKYDkoxLzgmhTFNW/IanzAdIKs0wUTw3ob8xQfUfK+eX+pHl1I8sp35kNVM/ZsW0NrBL09zgdWJAg1W2fxcHUnkcSOdxIIyKPBB2N352BP2B2zMEgyAYBMEgCAbVrXIQDIJgEASDIBgEwaBKjKsgGATBoPopB8EgCAbVEX4hGATBIAgGQTAIgkGVgF8IBkEw6DggAMEgCAZBMOiQCAXBoFoLCsGgaiIUBIMgGHQECoBgEASDIBgEwSAIBkEwqM74BMEgCAYdBQMgGATBIAgGHZKgIBhUa0EhGFRNgoJgUCWDQc+hwKAZBEUiojRVhp8kR5SJN0eoQWMQikS2ZIJaq6U2/+ECobDEWprRACJ2EPBShrq6XjOUXfVlqO3d4hMMlXeQ+zLUYDdDDWyLg/26XHemTetytwqabgT1ZigPQVM/QdPdgqa+gr5rhnL3a8FQTmsfhsozkr4M1R+8T4YaZGUelBlq4MdQg/ox1AMfFGcFQpnhvbPoMia0OkgGYPBYOL9stSpnq1U5W61qkq02K6a9oV2aBoevG7YerrIDcqFrnYeuMSpS17hIXZMidU3doyE7psHQHQvEryF+DfFriF/XrXIQv4b4NcSvIX4N8etKjLwgfg3x6/opB/FriF/XEX4hfg3xa4hfQ/wa4teVgF+IX0P8+jggAPFriF9D/PqQCAXx61oLCvHraiIUxK8hfn0ECoD4NcSvIX4N8WuIX0P8us74BPFriF8fBQMgfg3xa4hfH5KgIH5da0Ehfl1NgoL4NcSvj8MBEL+G+DXErw/KUBC/rrWgEL+uJkNB/LqK8evnUGDYDISikdCaGVxShlaZRipHKJudZEgyrTizCd7XY6hhYxiKRXg98+T7Q2epY73+uiYlu+pLSts7vydIKe8G9yWl4W5SGtoWh/t1rO5Mm9axbhU03QjqTUoegqZ+gqa7BU19BW06KW3ttIdZpz0sd9pDv057WL9OmyIuiMYYcY40UWvnDZN2Qh5hxjkR7BC99vAFjOuetAXjurvUh3HzfwfEl3EHwwYy7pP/Us3ZdTK7Ti4W8S//B1BLBwhgj4YNdwsAAFgqAQBQSwMEFAAIAAgAOFARPQAAAAAAAAAAAAAAAAwAAABnZW9nZWJyYS54bWytVE2P2jAQPXd/heV7gTgEgpSwareXrVB7YLuH3pxkCC5OHNkOH/vrO7YT2EXqrQdw/Gb8/ObL2eO5keQI2gjV5jSazCiBtlSVaOuc9nb3OaWP64esBlVDoTnZKd1wm9N4wqjDe7F++JSZvToRLr3Lq4BTTndcGqDEdBp4ZfYA9gPO+7OQguvLz+IPlNbcDIHkue16vMXqHrGyqTbCjNupv7CTwn4TR1GBJlKVOV0kKB2/XkFbUXKZ0/ksICyn7M6IUOyse6XFm2qtc7+R7xAhxIg3wIwwh2VTH2gGfSlFJXjrgvE60ImQk6jsPqfLhCEliHqPWpNoFthKpXS1vRgLDTn/Bq3w7iWbLJaLmMX4wz88dgkWlqSTZJGweTRny9UqWWIKUS8KYYtJzFJkZctZki5SluChf9v81XDcgrVYSkP4GcyYz1qL6ppwt3k2X5W8QZ0SrX3ine21b4N4gLb24m7DvGkX45e2ljBgEVZpD+WhUOdtyFscqF8unT/i9RT1k5JKE+0CRf31sBZh9T5O6NVr5n1m3mPgcKRXe7Ri3sOvRVi9lxRtkDYEHo1Rj1XhZ2GIA5Dcde+YG8kLwGagpG+F3YwbbJrDLVLn/6NvCpya921zpYz+E2U2veu37AC6BRm6qsXC9qo35Oi6N5TO66igFA1ug2FICHfF+oUCAlpBrWHUHUYupMtbP3TuHZxNRxFOg0GtpcW3A+OxLpZt51Kfugm3OF05/c4bMGTD8Y2xF0oqbtHLPR3T98f9iA1vzPovUEsHCEyILqxEAgAAlQQAAFBLAQIUABQACAAIADhQET1gj4YNdwsAAFgqAQASAAAAAAAAAAAAAAAAAAAAAABnZW9nZWJyYV9tYWNyby54bWxQSwECFAAUAAgACAA4UBE9TIgurEQCAACVBAAADAAAAAAAAAAAAAAAAAC3C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63: ENDSPLINEPROGRAM 64: } 65: 66: # 67: # The standard set of parameters inside <applet> 68: # 69: sub geogebra_default_parameters { 70: my ($id)=@_; 71: return(<<ENDDEFAULTPARAMETERS); 72: <param name="image" value="/adm/lonIcons/lonanim.gif" /> 73: <param name="boxborder" value="false" /> 74: <param name="centerimage" value="true" /> 75: <param name="java_arguments" value="-Xmx512m" /> 76: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_properties.jar" /> 77: <param name="cache_version" value="3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0, 3.2.44.0" /> 78: <param name="framePossible" value="false" /> 79: 80: <param name="showResetIcon" value="false" /> 81: <param name="showAnimationButton" value="false" /> 82: <param name="enableRightClick" value="false" /> 83: <param name="errorDialogsActive" value="true" /> 84: <param name="enableLabelDrags" value="false" /> 85: <param name="showMenuBar" value="false" /> 86: <param name="showToolBar" value="false" /> 87: <param name="showToolBarHelp" value="false" /> 88: <param name="showAlgebraInput" value="false" /> 89: <param name="enableShiftDragZoom" value="false" /> 90: <param name="allowRescaling" value="false" /> 91: <param name="enableLabelDrags" value="false" /> 92: <param name="ggbOnInitParam" value="applet_$id" /> 93: ENDDEFAULTPARAMETERS 94: } 95: 96: # 97: # This subroutine is called by LON-CAPA at </problem> 98: # Each applet on the page will call function ggbOnInit when it is done loading 99: # This function in turn will call the respective function registered by start_init_script 100: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit 101: # 102: 103: sub init_script { 104: if ($#Apache::functionplotresponse::callscripts>=0) { 105: my $script=''; 106: foreach my $id (@Apache::functionplotresponse::callscripts) { 107: $script.="if (param=='applet_$id') { loaded_$id=true; }\n"; 108: } 109: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). 110: ") { setTimeout('ggbInitAll()',20) }"; 111: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 112: return (<<ENDGGBINIT); 113: <script type="text/javascript"> 114: // <![CDATA[ 115: // Function that each applet will call when loaded 116: // It will pass "its" parameter 117: // Set flags for when an applet is loaded, wait till all are loaded, and then some 118: function ggbOnInit(param) { 119: $script 120: } 121: function ggbInitAll() { 122: $calls 123: } 124: // ]]> 125: </script> 126: ENDGGBINIT 127: } 128: } 129: 130: # 131: # Each Geogebra applet is supposed to call this when parameters change 132: # Changes the hidden fields on the web page 133: # 134: sub update_script { 135: my ($id)=@_; 136: return (<<ENDUPDATESCRIPT); 137: <script type="text/javascript"> 138: // <![CDATA[ 139: function updatePointCoordinates_$id(coordinateName) { 140: var x = document.ggbApplet_$id.getXcoord(coordinateName); 141: var y = document.ggbApplet_$id.getYcoord(coordinateName); 142: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x; 143: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y; 144: } 145: // ]]> 146: </script> 147: ENDUPDATESCRIPT 148: } 149: 150: # 151: # Register the above update-handler for a variable 152: # 153: 154: sub update_register { 155: my ($id,$variable)=@_; 156: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; 157: } 158: 159: # 160: # Set a coordinate variable 161: # 162: sub set_coordinate { 163: my ($id,$variable,$x,$y)=@_; 164: return (<<ENDSETVARIABLE); 165: document.ggbApplet_$id.evalCommand("$variable=($x,$y)"); 166: ENDSETVARIABLE 167: } 168: 169: # 170: # Input field name for a coordinate variable 171: # 172: 173: sub field_name { 174: my ($id,$variable,$name)=@_; 175: return "HWVAL_$id\_$variable\_$name"; 176: } 177: 178: # 179: # Generate an input field for a coordinate variable 180: # 181: 182: sub generate_input_field { 183: my ($id,$variable,$x,$y)=@_; 184: $Apache::functionplotresponse::inputfields.= 185: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 186: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 187: } 188: 189: # 190: # Initialize a new coordinate variable at set a listener on it 191: # 192: sub new_coordinate { 193: my ($id,$variable,$x,$y)=@_; 194: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 195: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 196: } 197: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 198: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 199: } 200: &generate_input_field($id,$variable,$x,$y); 201: return &set_coordinate($id,$variable,$x,$y).&update_register($id,$variable); 202: } 203: 204: # 205: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 206: # It then starts the right headers 207: # 208: sub start_init_script { 209: my ($id)=@_; 210: # Add id to the list of ggbInit_$id functions that need to be called 211: push(@Apache::functionplotresponse::callscripts,$id); 212: # ... and open this function 213: return (<<ENDSTARTINIT); 214: <script type="text/javascript"> 215: // <![CDATA[ 216: // variable that will eventually be passed back to the server 217: var coordinateMap_$id = []; 218: // flag for not loaded yet 219: var loaded_$id=false; 220: // Init-function for applet 221: function ggbInit_$id() { 222: ENDSTARTINIT 223: } 224: 225: # 226: # This sets the axes inside ggbInit_$id 227: # 228: 229: sub axes_script { 230: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 231: return (<<ENDAXESSCRIPT); 232: // changes (xmin, xmax, ymin, ymax) 233: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax); 234: 235: // makes the (x,y) axis (in)visible 236: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible); 237: // makes the grid (in)visible 238: document.ggbApplet_$id.setGridVisible($gvisible); 239: ENDAXESSCRIPT 240: } 241: 242: sub axes_label { 243: my ($id,$xlabel,$ylabel)=@_; 244: unless ($xlabel || $ylabel) { return ''; } 245: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");'; 246: if ($xlabel) { 247: $return.=(<<ENDXAXISLABELSCRIPT); 248: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 249: document.ggbApplet_$id.setVisible("Xlabel",false); 250: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 251: ENDXAXISLABELSCRIPT 252: } 253: if ($ylabel) { 254: $return.=(<<ENDYAXISLABELSCRIPT); 255: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 256: document.ggbApplet_$id.setVisible("Ylabel",false); 257: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 258: ENDYAXISLABELSCRIPT 259: } 260: return $return; 261: } 262: 263: sub plot_script { 264: my ($id,$function,$fixed)=@_; 265: if ($fixed) { 266: # Use stupid trick to nail this to a location 267: # Oddly, it seems like only one plot cannot be nailed to a location 268: # Non-nailed-down plots apparently get overwritten 269: return (<<ENDPLOTSCRIPT); 270: document.ggbApplet_$id.evalCommand("a=1"); 271: document.ggbApplet_$id.setVisible("a",false); 272: // This MUST be a DEPENDENT OBJECT in order to be locked down: 273: document.ggbApplet_$id.evalCommand("y=a*($function)"); 274: ENDPLOTSCRIPT 275: } else { 276: return "document.ggbApplet_$id.evalCommand('y=$function')"; 277: } 278: } 279: 280: # 281: # Subroutine that generates code for spline $label based on stored information 282: # 283: 284: sub generate_spline { 285: my ($id,$label)=@_; 286: my $result=''; 287: my $order=$Apache::functionplotresponse::splineorder{$label}; 288: my $x=$Apache::functionplotresponse::splineinitx{$label}; 289: my $y=$Apache::functionplotresponse::splineinity{$label}; 290: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 291: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 292: my @coords=(); 293: foreach my $i (1..$order) { 294: $result.=&new_coordinate($id,$label.'P'.$i,$x,$y); 295: $x+=$sx/(2.*($order-1)); 296: push(@coords,$label.'P'.$i); 297: $result.=&new_coordinate($id,$label.'S'.$i,$x,$y+$sy); 298: $x+=$sx/(2.*($order-1)); 299: push(@coords,$label.'S'.$i); 300: } 301: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 302: return $result; 303: } 304: # 305: # <backgroundplot function="..." fixed="yes/no" /> 306: # 307: sub start_backgroundplot { 308: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 309: my $result=''; 310: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 311: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 312: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 313: 314: unless ($function) { $function="0"; } 315: if ($target eq 'web') { 316: $result.=&plot_script($internalid,$function,$fixed); 317: } elsif ($target eq 'edit') { 318: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 319: &Apache::edit::text_arg('Function:','function', 320: $token,'16'). 321: &Apache::edit::select_arg('Fixed location:','fixed', 322: ['yes','no'],$token). 323: &Apache::edit::end_row(); 324: } elsif ($target eq 'modified') { 325: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 326: $safeeval,'function','fixed'); 327: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 328: } 329: return $result; 330: } 331: 332: sub end_backgroundplot { 333: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 334: my $result=''; 335: if ($target eq 'edit') { 336: $result=&Apache::edit::end_table(); 337: } 338: return $result; 339: } 340: 341: # 342: # <splinerule ... /> 343: # 344: sub start_splinerule { 345: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 346: my $result=''; 347: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 348: if ($target eq 'edit') { 349: $result=&Apache::edit::tag_start($target,$token,'Spline Evaluation Rule'). 350: &Apache::edit::end_row(); 351: } 352: return $result; 353: } 354: 355: sub end_splinerule { 356: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 357: my $result=''; 358: if ($target eq 'edit') { 359: $result=&Apache::edit::end_table(); 360: } 361: return $result; 362: } 363: 364: 365: # 366: # <spline label="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 367: # 368: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 369: # 370: sub start_spline { 371: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 372: my $result=''; 373: if ($target eq 'web') { 374: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 375: $Apache::functionplotresponse::counter++; 376: if ($label=~/\W/) { 377: &Apache::lonxml::warning(&mt('Spline labels should only contain alphanumeric characters.')); 378: } 379: $label=~s/\W//gs; 380: unless ($label) { $label='S'.$Apache::functionplotresponse::counter; } 381: if ($Apache::functionplotresponse::splineorder{$label}) { 382: &Apache::lonxml::error(&mt('Spline labels must be unique.')); 383: } 384: 385: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 386: if ($order<2) { $order=2; } 387: if ($order>8) { $order=8; } 388: $Apache::functionplotresponse::splineorder{$label}=$order; 389: 390: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 391: unless ($x) { $x=0; } 392: $Apache::functionplotresponse::splineinitx{$label}=$x; 393: 394: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 395: unless ($y) { $y=0; } 396: $Apache::functionplotresponse::splineinity{$label}=$y; 397: 398: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 399: unless ($sx) { $sx=$order; } 400: $Apache::functionplotresponse::splinescalex{$label}=$sx; 401: 402: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 403: unless ($sy) { $sy=2; } 404: $Apache::functionplotresponse::splinescaley{$label}=$sy; 405: } elsif ($target eq 'edit') { 406: $result=&Apache::edit::tag_start($target,$token,'Spline'). 407: &Apache::edit::text_arg('Label:','label', 408: $token,'4').' '. 409: &Apache::edit::select_arg('Order:','order', 410: ['2','3','4','5','6','7','8','9'],$token).' '. 411: &Apache::edit::text_arg('Initial x-value:','initx', 412: $token,'4').' '. 413: &Apache::edit::text_arg('Initial y-value:','inity', 414: $token,'4').' '. 415: &Apache::edit::text_arg('Scale x:','scalex', 416: $token,'4').' '. 417: &Apache::edit::text_arg('Scale y:','scaley', 418: $token,'4'). 419: &Apache::edit::end_row(); 420: } elsif ($target eq 'modified') { 421: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 422: $safeeval,'label','order','initx','inity', 423: 'scalex','scaley'); 424: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 425: } 426: return $result; 427: } 428: 429: sub end_spline { 430: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 431: my $result=''; 432: if ($target eq 'edit') { 433: $result=&Apache::edit::end_table(); 434: } 435: return $result; 436: } 437: 438: sub end_init_script { 439: return (<<ENDENDINIT); 440: } 441: // ]]> 442: </script> 443: ENDENDINIT 444: } 445: 446: # 447: # Storing and restoring spline coordinates from part answers 448: # 449: sub decode_previous_answer { 450: my ($answer)=@_; 451: foreach my $coordinate (split(/\,/,$answer)) { 452: my ($key,$value)=split(/\=/,$coordinate); 453: $Apache::functionplotresponse::previous{$key}=$value; 454: } 455: } 456: 457: sub get_answer_from_form_fields { 458: my ($id)=@_; 459: my $answer=''; 460: my %coords=(); 461: foreach my $field (keys(%env)) { 462: if ($field=~/^form\.HWVAL\_$id/) { 463: $field=~/^form\.(.*)$/; 464: $coords{$1}=$env{$field}; 465: } 466: } 467: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 468: return ($answer,%coords); 469: } 470: 471: # 472: # The following functions calculate the cubic-hermite splines server-side 473: # 474: 475: sub cubic_hermite { 476: my ($t,$p1,$s1,$p2,$s2)=@_; 477: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 5.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 478: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 5.*($t*$t*$t-$t*$t) *($s2-$p2); 479: } 480: 481: # 482: # d/dt(...) 483: # 484: 485: sub ddt_cubic_hermite { 486: my ($t,$p1,$s1,$p2,$s2)=@_; 487: return (6.*$t*$t-6.*$t) *$p1 + 5.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 488: (-6.*$t*$t+6.*$t)*$p2 + 5.*(3.*$t*$t-2.*$t) *($s2-$p2); 489: } 490: 491: # 492: # d^2/dt^2(...) 493: # 494: 495: sub d2dt2_cubic_hermite { 496: my ($t,$p1,$s1,$p2,$s2)=@_; 497: return (12.*$t-6.) *$p1 + 5.*(6.*$t-4.)*($s1-$p1)+ 498: (-12.*$t+6.)*$p2 + 5.*(6.*$t-2.)*($s2-$p2); 499: } 500: 501: # 502: # Array index calculation 503: # 504: sub array_index { 505: my ($xmin,$xmax,$x)=@_; 506: return int(($x-$xmin)/($xmax-$xmin)*200.+0.5); 507: } 508: 509: # 510: # Actual x-value of array index 511: # 512: 513: sub index_x { 514: my ($xmin,$xmax,$i)=@_; 515: return $i*($xmax-$xmin)/200.+$xmin; 516: } 517: 518: # 519: # Assume function to be linear between array points 520: # Return the two indices and the scale factor 521: # 522: 523: sub indices_scale { 524: my ($xmin,$xmax,$x)=@_; 525: my $i=&array_index($xmin,$xmax,$x); 526: my $xr=&index_x($xmin,$xmax,$i); 527: if ($xr<$x) { 528: # Desired x is right of array index 529: if ($i>=200) { return (200,200,0); } 530: return($i,$i+1,200.*($x-$xr)/($xmax-$xmin)); 531: } elsif ($xr>$x) { 532: # Desired x is left of array index 533: if ($i<=0) { return (0,0,0); } 534: return($i-1,$i,1.-200.*($xr-$x)/($xmax-$xmin)); 535: } else { 536: # Desired x is at array index (unlikely, but ...) 537: if ($i>=200) { return (200,200,0); } 538: if ($i<=0) { return (0,0,0); } 539: return ($i,$i,0); 540: } 541: } 542: 543: # 544: # Function value 545: # 546: 547: sub func_val { 548: my ($xmin,$xmax,$x)=@_; 549: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x); 550: my $fl=$Apache::functionplotresponse::func[$il]; 551: my $fh=$Apache::functionplotresponse::func[$ih]; 552: unless (defined($fl) || defined($fh)) { return undef; } 553: unless (defined($fl)) { return $fh; } 554: unless (defined($fh)) { return $fl; } 555: return $fl+$factor*($fh-$fl); 556: } 557: 558: # 559: # First derivative 560: # 561: 562: sub dfuncdx_val { 563: my ($xmin,$xmax,$x)=@_; 564: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x); 565: my $fl=$Apache::functionplotresponse::dfuncdx[$il]; 566: my $fh=$Apache::functionplotresponse::dfuncdx[$ih]; 567: unless (defined($fl) || defined($fh)) { return undef; } 568: unless (defined($fl)) { return $fh; } 569: unless (defined($fh)) { return $fl; } 570: return $fl+$factor*($fh-$fl); 571: } 572: 573: # 574: # Second derivative 575: # 576: 577: sub d2funcdx2_val { 578: my ($xmin,$xmax,$x)=@_; 579: my ($il,$ih,$factor)=&indices_scale($xmin,$xmax,$x); 580: my $fl=$Apache::functionplotresponse::d2funcdx2[$il]; 581: my $fh=$Apache::functionplotresponse::d2funcdx2[$ih]; 582: unless (defined($fl) || defined($fh)) { return undef; } 583: unless (defined($fl)) { return $fh; } 584: unless (defined($fh)) { return $fl; } 585: return $fl+$factor*($fh-$fl); 586: } 587: 588: # 589: # Populate the arrays 590: # 591: 592: sub populate_arrays { 593: my ($id,$xmin,$xmax)=@_; 594: for (my $i=0; $i<=200; $i++) { 595: $Apache::functionplotresponse::func[$i]=undef; 596: $Apache::functionplotresponse::dfuncdx[$i]=undef; 597: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 598: } 599: unless ($xmax>$xmin) { return 'no_func'; } 600: # Run over all splines in response 601: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 602: my $xiold=-1; 603: # Run over all points in spline 604: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 605: my $ni=$i+1; 606: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 607: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 608: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 609: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 610: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 611: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 612: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 613: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 614: # Run in small steps over spline parameter 615: for (my $t=0; $t<=1; $t+=0.00025) { 616: my $xi=&array_index($xmin,$xmax,&cubic_hermite($t,@xparms)); 617: if ($xi<$xiold) { return 'no_func'; } 618: if (($xi>$xiold) && ($xi>=0) && ($xi<=200)) { 619: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } 620: $xiold=$xi; 621: # Function value 622: $Apache::functionplotresponse::func[$xi]=&cubic_hermite($t,@yparms); 623: # dy/dx=dy/dt/(dx/dt) 624: my $dxdt=&ddt_cubic_hermite($t,@xparms); 625: if ($dxdt) { 626: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 627: } 628: # d^2y/dx^2 629: my $d2xdt2=&d2dt2_cubic_hermite($t,@xparms); 630: if ($d2xdt2) { 631: $Apache::functionplotresponse::d2funcd2x[$xi]=&d2dt2_cubic_hermite($t,@yparms)/$d2xdt2; 632: } 633: } 634: } 635: } 636: } 637: } 638: 639: # 640: # Implentation of <functionplotresponse> 641: # 642: 643: sub start_functionplotresponse { 644: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 645: my $result=''; 646: # To remember the splines - somehow, they need to come last 647: undef %Apache::functionplotresponse::splineorder; 648: undef %Apache::functionplotresponse::splineinitx; 649: undef %Apache::functionplotresponse::splineinity; 650: undef %Apache::functionplotresponse::splinescalex; 651: undef %Apache::functionplotresponse::splinescaley; 652: # Remember input fields, etc 653: undef %Apache::functionplotresponse::previous; 654: $Apache::functionplotresponse::inputfields=''; 655: $Apache::functionplotresponse::counter=0; 656: # Part and ID 657: my $partid=$Apache::inputtags::part; 658: my $id=&Apache::response::start_response($parstack,$safeeval); 659: # Internal ID to mark the applet and its coordinates 660: my $internalid = $partid.'_'.$id; 661: # Previous answer 662: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 663: 664: # Parameters of <functionplotresponse> 665: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval); 666: $xmin=(defined($xmin)?$xmin:-10); 667: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval); 668: $xmax=(defined($xmax)?$xmax:10); 669: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval); 670: $ymin=(defined($ymin)?$ymin:-10); 671: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval); 672: $ymax=(defined($ymax)?$ymax:10); 673: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 674: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 675: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 676: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 677: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 678: if ($target eq 'edit') { 679: $result.=&Apache::edit::start_table($token) 680: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 681: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 682: .&Apache::edit::deletelist($target,$token) 683: .'</span></td>' 684: ."<td> " 685: .&Apache::edit::end_row() 686: .&Apache::edit::start_spanning_row() 687: ."\n"; 688: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel', 689: $token,'6').' '. 690: &Apache::edit::text_arg('Minimum x-value:','xmin', 691: $token,'4').' '. 692: &Apache::edit::text_arg('Maximum x-value:','xmax', 693: $token,'4').' '. 694: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 695: ['yes','no'],$token).'  '. 696: &Apache::edit::text_arg('Label y-axis:','ylabel', 697: $token,'6').' '. 698: &Apache::edit::text_arg('Minimum y-value:','ymin', 699: $token,'4').' '. 700: &Apache::edit::text_arg('Maximum y-value:','ymax', 701: $token,'4').' '. 702: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 703: ['yes','no'],$token).'  '. 704: &Apache::edit::select_arg('Grid visible:','gridvisible', 705: ['yes','no'],$token). 706: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 707: } elsif ($target eq 'modified') { 708: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 709: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax', 710: 'xaxisvisible','yaxisvisible','gridvisible'); 711: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 712: 713: } elsif ($target eq 'meta') { 714: $result=&Apache::response::meta_package_write('functionplotresponse'); 715: } elsif ($target eq 'web') { 716: # paste in the update routine to receive stuff back from the applet 717: $result.=&update_script($internalid); 718: # start the initscript for this applet 719: $result.=&start_init_script($internalid); 720: # put the axis commands inside 721: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 722: $result.=&axes_label($internalid,$xlabel,$ylabel); 723: # init script is left open 724: } 725: return $result; 726: } 727: 728: sub end_functionplotresponse { 729: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 730: &Apache::response::end_response; 731: 732: my $result; 733: my $id=$Apache::inputtags::response[-1]; 734: my $partid=$Apache::inputtags::part; 735: my $internalid = $partid.'_'.$id; 736: 737: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 738: if ($target eq 'grade' 739: && &Apache::response::submitted() 740: && $Apache::lonhomework::type eq 'exam') { 741: 742: #&Apache::response::scored_response($partid,$id); 743: 744: } elsif ($target eq 'grade' 745: && &Apache::response::submitted() 746: && $Apache::lonhomework::type ne 'exam') { 747: my ($response,%coords)=&get_answer_from_form_fields($internalid); 748: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 749: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 750: # 751: # Actually grade 752: # 753: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval); 754: $xmin=(defined($xmin)?$xmin:-10); 755: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval); 756: $xmax=(defined($xmax)?$xmax:10); 757: my $ad; 758: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { 759: $ad='NOT_FUNCTION'; 760: } else { 761: $ad='INCORRECT'; 762: } 763: 764: # 765: # Store grading info 766: # 767: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 768: &Apache::response::handle_previous(\%previous,$ad); 769: } elsif ($target eq 'web') { 770: # Now is the time to render all of the stored splines 771: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 772: $result.=&generate_spline($internalid,$label); 773: } 774: # close the init script 775: $result.=&end_init_script(); 776: # register all splines in this response 777: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 778: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 779: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 780: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 781: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 782: } 783: # generate the input fields 784: $result.=$Apache::functionplotresponse::inputfields; 785: # actually start the <applet>-tag 786: $result.=&geogebra_startcode($internalid); 787: # load the spline bytecode 788: $result.=&geogebra_spline_program(); 789: # set default parameters 790: $result.=&geogebra_default_parameters($internalid); 791: # close the <applet>-tag 792: $result.=&geogebra_endcode(); 793: } 794: return $result; 795: } 796: 797: 1; 798: 799: __END__ 800: 801: =head1 NAME 802: 803: Apache::functionplotresponse.pm; 804: 805: =head1 SYNOPSIS 806: 807: Handles tags associated with accepting function plots. 808: 809: This is part of the LearningOnline Network with CAPA project 810: described at http://www.lon-capa.org. 811: 812: =head1 HANDLER SUBROUTINE 813: 814: start_functionplotresponse() 815: 816: =head1 OTHER SUBROUTINES 817: 818: =over 819: 820: =item end_functionplotresponse() 821: 822: =back 823: 824: =cut