loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.43: download - view: text, annotated - select for diffs
Sat Nov 20 21:35:53 2010 UTC (13 years, 6 months ago) by www
Branches: MAIN
CVS tags: HEAD

Fix bug in backgroundplot

1: # LearningOnline Network with CAPA 2: # option list style responses 3: # 4: # $Id: functionplotresponse.pm,v 1.43 2010/11/20 21:35:53 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', 37: 'functionplotrule','functionplotruleset', 38: 'functionplotelements')); 39: } 40: 41: # 42: # There can be a number of applets on a page, each called ggbApplet_$id, 43: # where $id is the "_"-concatenated part and responseid 44: # 45: 46: sub geogebra_startcode { 47: my ($id)=@_; 48: return (<<ENDSTARTCODE); 49: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar" 50: codebase="/adm/geogebra/" width="722" height="447" MAYSCRIPT> 51: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/> 52: ENDSTARTCODE 53: } 54: 55: sub geogebra_endcode { 56: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n"; 57: } 58: 59: # 60: # This is the internal GeoGebra bytecode which defines the spline functions 61: # 62: sub geogebra_spline_program { 63: return (<<ENDSPLINEPROGRAM); 64: <param name="ggbBase64" value="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/> 65: ENDSPLINEPROGRAM 66: } 67: 68: # 69: # The standard set of parameters inside <applet> 70: # 71: sub geogebra_default_parameters { 72: my ($id)=@_; 73: return(<<ENDDEFAULTPARAMETERS); 74: <param name="image" value="/adm/lonIcons/lonanim.gif" /> 75: <param name="boxborder" value="false" /> 76: <param name="centerimage" value="true" /> 77: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" /> 78: <param name="cache_version" value="3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0, 3.9.115.0" /> 79: <param name="framePossible" value="false" /> 80: 81: <param name="showResetIcon" value="false" /> 82: <param name="showAnimationButton" value="false" /> 83: <param name="enableRightClick" value="false" /> 84: <param name="errorDialogsActive" value="true" /> 85: <param name="enableLabelDrags" value="false" /> 86: <param name="showMenuBar" value="false" /> 87: <param name="showToolBar" value="false" /> 88: <param name="showToolBarHelp" value="false" /> 89: <param name="showAlgebraInput" value="false" /> 90: <param name="enableShiftDragZoom" value="false" /> 91: <param name="allowRescaling" value="false" /> 92: <param name="enableLabelDrags" value="false" /> 93: <param name="ggbOnInitParam" value="applet_$id" /> 94: ENDDEFAULTPARAMETERS 95: } 96: 97: # 98: # This subroutine is called by LON-CAPA at </problem> 99: # Each applet on the page will call function ggbOnInit when it is done loading 100: # This function in turn will call the respective function registered by start_init_script 101: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit 102: # 103: 104: sub init_script { 105: if ($#Apache::functionplotresponse::callscripts>=0) { 106: my $script=''; 107: foreach my $id (@Apache::functionplotresponse::callscripts) { 108: $script.="if (param=='applet_$id') { loaded_$id=true; }\n"; 109: } 110: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). 111: ") { setTimeout('ggbInitAll()',20) }"; 112: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 113: return (<<ENDGGBINIT); 114: <script type="text/javascript"> 115: // <![CDATA[ 116: // Function that each applet will call when loaded 117: // It will pass "its" parameter 118: // Set flags for when an applet is loaded, wait till all are loaded, and then some 119: function ggbOnInit(param) { 120: $script 121: } 122: function ggbInitAll() { 123: $calls 124: } 125: // ]]> 126: </script> 127: ENDGGBINIT 128: } 129: } 130: 131: # 132: # Each Geogebra applet is supposed to call this when parameters change 133: # Changes the hidden fields on the web page 134: # 135: sub update_script { 136: my ($id)=@_; 137: return (<<ENDUPDATESCRIPT); 138: <script type="text/javascript"> 139: // <![CDATA[ 140: function updatePointCoordinates_$id(coordinateName) { 141: var x = document.ggbApplet_$id.getXcoord(coordinateName); 142: var y = document.ggbApplet_$id.getYcoord(coordinateName); 143: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x; 144: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y; 145: } 146: // ]]> 147: </script> 148: ENDUPDATESCRIPT 149: } 150: 151: # 152: # Register the above update-handler for a variable 153: # 154: 155: sub update_register { 156: my ($id,$variable)=@_; 157: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; 158: } 159: 160: # 161: # Set a point coordinate variable 162: # 163: sub set_point_coordinate { 164: my ($id,$variable,$x,$y)=@_; 165: return (<<ENDSETVARIABLE); 166: document.ggbApplet_$id.evalCommand("$variable=($x,$y)"); 167: document.ggbApplet_$id.setLabelVisible("$variable",false); 168: ENDSETVARIABLE 169: } 170: 171: # 172: # Set a slope coordinate variable 173: # 174: sub set_slope_coordinate { 175: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname)=@_; 176: my $xvariable=$variable.'x'; 177: my $yvariable=$variable.'y'; 178: my $domain=$xmax-$xmin; 179: my $range=$ymax-$ymin; 180: my $xinterval=$domain/100.; 181: my $yinterval=$range/200.; 182: return (<<ENDSETSVARIABLE); 183: document.ggbApplet_$id.evalCommand("$xvariable=Slider[0,$domain,$xinterval]"); 184: document.ggbApplet_$id.setVisible("$xvariable", false); 185: document.ggbApplet_$id.evalCommand("$xvariable=$xrel"); 186: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]"); 187: document.ggbApplet_$id.setVisible("$yvariable", false); 188: document.ggbApplet_$id.evalCommand("$yvariable=$yrel"); 189: document.ggbApplet_$id.evalCommand("$variable=($xvariable+x($pointname),$yvariable+y($pointname))"); 190: document.ggbApplet_$id.setLabelVisible("$variable", false); 191: ENDSETSVARIABLE 192: } 193: 194: # 195: # Input field name for a coordinate variable 196: # 197: 198: sub field_name { 199: my ($id,$variable,$name)=@_; 200: return "HWVAL_$id\_$variable\_$name"; 201: } 202: 203: # 204: # Generate an input field for a coordinate variable 205: # 206: 207: sub generate_input_field { 208: my ($id,$variable,$x,$y)=@_; 209: $Apache::functionplotresponse::inputfields.= 210: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 211: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 212: } 213: 214: # 215: # Initialize a new point coordinate variable at set a listener on it 216: # 217: sub new_point_coordinate { 218: my ($id,$variable,$x,$y)=@_; 219: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 220: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 221: } 222: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 223: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 224: } 225: &generate_input_field($id,$variable,$x,$y); 226: return &set_point_coordinate($id,$variable,$x,$y).&update_register($id,$variable); 227: } 228: 229: # 230: # Initialize a new slope coordinate variable at set a listener on it 231: # 232: sub new_slope_coordinate { 233: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax)=@_; 234: # 235: # $variable: name of the slope point 236: # $x, $y: coordinates of the slope point 237: # $pointname: name of the associated point point 238: # $xp $yp: coordinates of the point point 239: # 240: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 241: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 242: } 243: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 244: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 245: } 246: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) { 247: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')}; 248: } 249: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) { 250: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')}; 251: } 252: 253: &generate_input_field($id,$variable,$x,$y); 254: my $xrel=$x-$xp; 255: my $yrel=$y-$yp; 256: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname).&update_register($id,$variable); 257: } 258: 259: # 260: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 261: # It then starts the right headers 262: # 263: sub start_init_script { 264: my ($id)=@_; 265: # Add id to the list of ggbInit_$id functions that need to be called 266: push(@Apache::functionplotresponse::callscripts,$id); 267: # ... and open this function 268: return (<<ENDSTARTINIT); 269: <script type="text/javascript"> 270: // <![CDATA[ 271: // variable that will eventually be passed back to the server 272: var coordinateMap_$id = []; 273: // flag for not loaded yet 274: var loaded_$id=false; 275: // Init-function for applet 276: function ggbInit_$id() { 277: ENDSTARTINIT 278: } 279: 280: # 281: # This sets the axes inside ggbInit_$id 282: # 283: 284: sub axes_script { 285: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 286: return (<<ENDAXESSCRIPT); 287: // changes (xmin, xmax, ymin, ymax) 288: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax); 289: 290: // makes the (x,y) axis (in)visible 291: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible); 292: // makes the grid (in)visible 293: document.ggbApplet_$id.setGridVisible($gvisible); 294: ENDAXESSCRIPT 295: } 296: 297: sub axes_label { 298: my ($id,$xlabel,$ylabel)=@_; 299: unless ($xlabel || $ylabel) { return ''; } 300: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");'; 301: if ($xlabel) { 302: $return.=(<<ENDXAXISLABELSCRIPT); 303: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 304: document.ggbApplet_$id.setVisible("Xlabel",false); 305: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 306: ENDXAXISLABELSCRIPT 307: } 308: if ($ylabel) { 309: $return.=(<<ENDYAXISLABELSCRIPT); 310: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 311: document.ggbApplet_$id.setVisible("Ylabel",false); 312: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 313: ENDYAXISLABELSCRIPT 314: } 315: return $return; 316: } 317: 318: sub plot_script { 319: my ($id,$function,$fixed,$label,$xmin,$xmax)=@_; 320: $label=~s/\W//g; 321: if (($label) && ($label!~/^[A-Za-z]/)) { 322: $label='C'.$label; 323: } 324: my $visible=0; 325: if ($label) { 326: $visible="1"; 327: } else { 328: $Apache::functionplotresponse::counter++; 329: $label='C'.$Apache::functionplotresponse::counter; 330: } 331: if ($fixed) { 332: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n". 333: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n"); 334: } else { 335: return "document.ggbApplet_$id.evalCommand('y=$function')"; 336: } 337: } 338: 339: # 340: # Subroutine that generates code for spline $label based on stored information 341: # 342: 343: sub generate_spline { 344: my ($id,$label,$xmin,$xmax,$ymin,$ymax)=@_; 345: my $result=''; 346: my $order=$Apache::functionplotresponse::splineorder{$label}; 347: my $x=$Apache::functionplotresponse::splineinitx{$label}; 348: my $y=$Apache::functionplotresponse::splineinity{$label}; 349: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 350: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 351: my @coords=(); 352: foreach my $i (1..$order) { 353: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y); 354: my $xp=$x; 355: $x+=$sx/(2.*($order-1)); 356: push(@coords,$label.'P'.$i); 357: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax); 358: $x+=$sx/(2.*($order-1)); 359: push(@coords,$label.'S'.$i); 360: } 361: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 362: return $result; 363: } 364: # 365: # <backgroundplot function="..." fixed="yes/no" /> 366: # 367: sub start_backgroundplot { 368: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 369: my $result=''; 370: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 371: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 372: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 373: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 374: 375: unless ($function) { $function="0"; } 376: if ($target eq 'web') { 377: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 378: $result.=&plot_script($internalid,$function,$fixed,$label,$xmin,$xmax); 379: } elsif ($target eq 'edit') { 380: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 381: &Apache::edit::text_arg('Function:','function', 382: $token,'16'). 383: &Apache::edit::text_arg('Label on Plot:','label', 384: $token,'8'). 385: &Apache::edit::select_arg('Fixed location:','fixed', 386: ['yes','no'],$token). 387: &Apache::edit::end_row(); 388: } elsif ($target eq 'modified') { 389: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 390: $safeeval,'function','label','fixed'); 391: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 392: } 393: return $result; 394: } 395: 396: sub end_backgroundplot { 397: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 398: my $result=''; 399: if ($target eq 'edit') { 400: $result=&Apache::edit::end_table(); 401: } 402: return $result; 403: } 404: 405: # 406: # <functionplotrule ... /> 407: # 408: sub start_functionplotrule { 409: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 410: my $result=''; 411: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 412: $Apache::functionplotresponse::counter++; 413: if ($label=~/\W/) { 414: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 415: } 416: $label=~s/\W//gs; 417: unless ($label) { 418: $label='R'.$Apache::functionplotresponse::counter; 419: } else { 420: $label='R'.$label; 421: } 422: if ($Apache::functionplotresponse::splineorder{$label}) { 423: &Apache::lonxml::error(&mt('Rule indices must be unique.')); 424: } 425: 426: 427: if ($target eq 'grade') { 428: # Simply remember - in order - for later 429: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); 430: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); 431: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { 432: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); 433: } 434: $beginninglabel=~s/\W//gs; 435: $endinglabel=~s/\W//gs; 436: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); 437: $relationship=~s/\W//gs; 438: $relationship=lc($relationship); 439: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { 440: &Apache::lonxml::warning(&mt('Rule relationship not defined.')); 441: $relationship='eq'; 442: } 443: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); 444: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { 445: &Apache::lonxml::warning(&mt('Rule derivative not defined.')); 446: $derivative=0; 447: } 448: push(@Apache::functionplotresponse::functionplotrules,join(':',( 449: $label, 450: $derivative, 451: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), 452: $beginninglabel, 453: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), 454: $endinglabel, 455: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), 456: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), 457: $relationship, 458: &Apache::lonxml::get_param('value',$parstack,$safeeval), 459: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) 460: ))); 461: } elsif ($target eq 'edit') { 462: $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule'). 463: &Apache::edit::text_arg('Index/Name:','index', 464: $token,'10').' '. 465: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder', 466: [['0','Function itself'], 467: ['1','First derivative'], 468: ['2','Second derivative'], 469: ['-1','Integral']],$token).'<br />'. 470: &Apache::edit::text_arg('(Initial) x-value:','xinitial', 471: $token,'8'). 472: &Apache::edit::select_or_text_arg('(Initial) x-value label:','xinitiallabel', 473: [['start','Start of Plot']],$token,'8').'<br />'. 474: 475: &Apache::edit::text_arg('Optional final x-value for ranges:','xfinal', 476: $token,'8'). 477: &Apache::edit::select_or_text_arg('Optional final x-value label:','xfinallabel', 478: [['end','End of Plot']],$token,'8').'<br />'. 479: &Apache::edit::text_arg('Optional minimum length for range:','minimumlength', 480: $token,'8'). 481: &Apache::edit::text_arg('Optional maximum length for range:','maximumlength', 482: $token,'8').'<br />'. 483: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', 484: [['eq','equal'], 485: ['ne','not equal'], 486: ['ge','greater than or equal'], 487: ['gt','greater than'], 488: ['lt','less than'], 489: ['le','less than or equal']],$token). 490: $result.= &Apache::edit::select_or_text_arg('Value:','value', 491: [['undef','not defined']],$token,'8'). 492: &Apache::edit::text_arg('Percent error:','percenterror', 493: $token,'8'). 494: &Apache::edit::end_row(); 495: } elsif ($target eq 'modified') { 496: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 497: $safeeval,'index','derivativeorder', 498: 'xinitial','xinitiallabel','xfinal','xfinallabel', 499: 'minimumlength','maximumlength', 500: 'relationship','value','percenterror'); 501: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 502: } 503: return $result; 504: } 505: 506: sub end_functionplotrule { 507: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 508: my $result=''; 509: if ($target eq 'edit') { 510: $result=&Apache::edit::end_table(); 511: } 512: return $result; 513: } 514: 515: 516: # 517: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 518: # 519: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 520: # 521: sub start_spline { 522: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 523: my $result=''; 524: if ($target eq 'web') { 525: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 526: $Apache::functionplotresponse::counter++; 527: if ($label=~/\W/) { 528: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 529: } 530: $label=~s/\W//gs; 531: unless ($label) { 532: $label='S'.$Apache::functionplotresponse::counter; 533: } else { 534: $label='S'.$label; 535: } 536: if ($Apache::functionplotresponse::splineorder{$label}) { 537: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 538: } 539: 540: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 541: if ($order<2) { $order=2; } 542: if ($order>8) { $order=8; } 543: $Apache::functionplotresponse::splineorder{$label}=$order; 544: 545: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 546: unless ($x) { $x=0; } 547: $Apache::functionplotresponse::splineinitx{$label}=$x; 548: 549: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 550: unless ($y) { $y=0; } 551: $Apache::functionplotresponse::splineinity{$label}=$y; 552: 553: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 554: unless ($sx) { $sx=$order; } 555: $Apache::functionplotresponse::splinescalex{$label}=$sx; 556: 557: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 558: unless ($sy) { $sy=2; } 559: $Apache::functionplotresponse::splinescaley{$label}=$sy; 560: } elsif ($target eq 'edit') { 561: $result=&Apache::edit::tag_start($target,$token,'Spline'). 562: &Apache::edit::text_arg('Index:','index', 563: $token,'4').' '. 564: &Apache::edit::select_arg('Order:','order', 565: ['2','3','4','5','6','7','8','9'],$token).' '. 566: &Apache::edit::text_arg('Initial x-value:','initx', 567: $token,'4').' '. 568: &Apache::edit::text_arg('Initial y-value:','inity', 569: $token,'4').' '. 570: &Apache::edit::text_arg('Scale x:','scalex', 571: $token,'4').' '. 572: &Apache::edit::text_arg('Scale y:','scaley', 573: $token,'4'). 574: &Apache::edit::end_row(); 575: } elsif ($target eq 'modified') { 576: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 577: $safeeval,'index','order','initx','inity', 578: 'scalex','scaley'); 579: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 580: } 581: return $result; 582: } 583: 584: sub end_spline { 585: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 586: my $result=''; 587: if ($target eq 'edit') { 588: $result=&Apache::edit::end_table(); 589: } 590: return $result; 591: } 592: 593: sub end_init_script { 594: return (<<ENDENDINIT); 595: } 596: // ]]> 597: </script> 598: ENDENDINIT 599: } 600: 601: # 602: # Storing and restoring spline coordinates from part answers 603: # 604: sub decode_previous_answer { 605: my ($answer)=@_; 606: foreach my $coordinate (split(/\,/,$answer)) { 607: my ($key,$value)=split(/\=/,$coordinate); 608: $Apache::functionplotresponse::previous{$key}=$value; 609: } 610: } 611: 612: sub get_answer_from_form_fields { 613: my ($id)=@_; 614: my $answer=''; 615: my %coords=(); 616: foreach my $field (keys(%env)) { 617: if ($field=~/^form\.HWVAL\_$id/) { 618: $field=~/^form\.(.*)$/; 619: $coords{$1}=$env{$field}; 620: } 621: } 622: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 623: return ($answer,%coords); 624: } 625: 626: # 627: # The following functions calculate the cubic-hermite splines server-side 628: # 629: 630: sub cubic_hermite { 631: my ($t,$p1,$s1,$p2,$s2)=@_; 632: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 633: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 634: } 635: 636: # 637: # d/dt(...) 638: # 639: 640: sub ddt_cubic_hermite { 641: my ($t,$p1,$s1,$p2,$s2)=@_; 642: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 643: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 644: } 645: 646: # 647: # d^2/dt^2(...) 648: # 649: 650: sub d2dt2_cubic_hermite { 651: my ($t,$p1,$s1,$p2,$s2)=@_; 652: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 653: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 654: } 655: 656: # 657: # Array index calculation 658: # 659: sub array_index { 660: my ($xmin,$xmax,$x)=@_; 661: if ($x ne '') { 662: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 663: } else { 664: return undef; 665: } 666: } 667: 668: # 669: # Populate the arrays 670: # 671: 672: sub populate_arrays { 673: my ($id,$xmin,$xmax)=@_; 674: for (my $i=0; $i<=400; $i++) { 675: $Apache::functionplotresponse::actualxval[$i]=undef; 676: $Apache::functionplotresponse::func[$i]=undef; 677: $Apache::functionplotresponse::dfuncdx[$i]=undef; 678: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 679: } 680: unless ($xmax>$xmin) { return 'no_func'; } 681: # Run over all splines in response 682: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 683: my $xiold=-1; 684: # Run over all points in spline 685: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 686: my $ni=$i+1; 687: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 688: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 689: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 690: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 691: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 692: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 693: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 694: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 695: # Run in small steps over spline parameter 696: for (my $t=0; $t<=1; $t+=0.0001) { 697: my $xreal=&cubic_hermite($t,@xparms); 698: my $xi=&array_index($xmin,$xmax,$xreal); 699: if ($xi<$xiold) { return 'no_func'; } 700: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 701: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } 702: $xiold=$xi; 703: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 704: # Function value 705: my $funcval=&cubic_hermite($t,@yparms); 706: $Apache::functionplotresponse::func[$xi]=$funcval; 707: if (defined($funcval)) { 708: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 709: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 710: } 711: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 712: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 713: } 714: } 715: # Chain rule 716: # dy/dx=dy/dt/(dx/dt) 717: my $dxdt=&ddt_cubic_hermite($t,@xparms); 718: if ($dxdt) { 719: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 720: # Second derivative 721: $Apache::functionplotresponse::d2funcdx2[$xi]= 722: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 723: ($dxdt*$dxdt*$dxdt); 724: } 725: } 726: } 727: } 728: } 729: } 730: 731: # 732: # Implementation of <functionplotresponse> 733: # 734: 735: sub start_functionplotresponse { 736: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 737: my $result=''; 738: # To remember the splines - somehow, they need to come last 739: undef %Apache::functionplotresponse::splineorder; 740: undef %Apache::functionplotresponse::splineinitx; 741: undef %Apache::functionplotresponse::splineinity; 742: undef %Apache::functionplotresponse::splinescalex; 743: undef %Apache::functionplotresponse::splinescaley; 744: # Remember input fields, etc 745: undef %Apache::functionplotresponse::previous; 746: $Apache::functionplotresponse::inputfields=''; 747: $Apache::functionplotresponse::counter=0; 748: # Remember rules 749: undef @Apache::functionplotresponse::functionplotrules; 750: # Remember failed rules 751: if ($target eq 'grade') { 752: undef @Apache::functionplotresponse::failedrules; 753: } 754: # Delete previous awards 755: undef $Apache::functionplotresponse::awarddetail; 756: # Part and ID 757: my $partid=$Apache::inputtags::part; 758: my $id=&Apache::response::start_response($parstack,$safeeval); 759: # Internal ID to mark the applet and its coordinates 760: my $internalid = $partid.'_'.$id; 761: # Previous answer 762: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 763: 764: # Parameters of <functionplotresponse> 765: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 766: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 767: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 768: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 769: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 770: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 771: if ($target eq 'edit') { 772: $result.=&Apache::edit::start_table($token) 773: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 774: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 775: .&Apache::edit::deletelist($target,$token).'   ' 776: .&Apache::edit::insertlist($target,$token) 777: .'</span></td>' 778: ."<td> " 779: .&Apache::edit::end_row() 780: .&Apache::edit::start_spanning_row() 781: ."\n"; 782: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel', 783: $token,'6').' '. 784: &Apache::edit::text_arg('Minimum x-value:','xmin', 785: $token,'4').' '. 786: &Apache::edit::text_arg('Maximum x-value:','xmax', 787: $token,'4').' '. 788: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 789: ['yes','no'],$token).'<br />'. 790: &Apache::edit::text_arg('Label y-axis:','ylabel', 791: $token,'6').' '. 792: &Apache::edit::text_arg('Minimum y-value:','ymin', 793: $token,'4').' '. 794: &Apache::edit::text_arg('Maximum y-value:','ymax', 795: $token,'4').' '. 796: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 797: ['yes','no'],$token).'<br />'. 798: &Apache::edit::select_arg('Grid visible:','gridvisible', 799: ['yes','no'],$token). 800: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 801: } elsif ($target eq 'modified') { 802: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 803: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax', 804: 'xaxisvisible','yaxisvisible','gridvisible'); 805: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 806: 807: } elsif ($target eq 'meta') { 808: $result=&Apache::response::meta_package_write('functionplotresponse'); 809: } elsif (($target eq 'answer') && 810: ($env{'form.answer_output_mode'} ne 'tex') && 811: ($Apache::lonhomework::viewgrades == 'F')) { 812: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 813: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen(); 814: my $start_page = &Apache::loncommon::start_page('Rules Log', undef, 815: {'only_body' => 1, 816: 'bgcolor' => '#FFFFFF', 817: 'js_ready' => 1,}); 818: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,}); 819: $uname =~s/\W//g; 820: $udom =~s/\W//g; 821: my $function_name = 822: join('_','LONCAPA_scriptvars',$uname,$udom, 823: $env{'form.counter'},$Apache::lonxml::curdepth); 824: my $rules_var ="<script type=\"text/javascript\"> 825: // <![CDATA[ 826: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>". 827: $Apache::functionplotresponse::ruleslog. 828: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()} 829: // ]]> 830: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />"; 831: &Apache::lonxml::add_script_result($rules_var); 832: } 833: 834: return $result; 835: } 836: 837: sub compare_rel { 838: my ($relationship,$value,$realval,$tol)=@_; 839: # is the real value undefined? 840: unless (defined($realval)) { 841: # the real value is not defined 842: if ($relationship eq 'eq') { 843: if ($value eq 'undef') { 844: return 1; 845: } else { 846: return 0; 847: } 848: } elsif ($relationship eq 'ne') { 849: if ($value eq 'undef') { 850: return 0; 851: } else { 852: return 1; 853: } 854: } else { 855: return 0; 856: } 857: } 858: 859: # is the expected value undefined? 860: if ($value eq 'undef') { 861: # but by now we know that the real value is defined 862: return 0; 863: } 864: 865: # both are defined. 866: if ($relationship eq 'gt') { 867: return ($realval>$value); 868: } elsif ($relationship eq 'ge') { 869: return ($realval>$value-$tol); 870: } elsif ($relationship eq 'lt') { 871: return ($realval<$value); 872: } elsif ($relationship eq 'le') { 873: return ($realval<$value+$tol); 874: } elsif ($relationship eq 'ne') { 875: return (abs($value-$realval)>$tol); 876: } else { 877: return (abs($value-$realval)<$tol); 878: } 879: return 0; 880: } 881: 882: sub addlog { 883: my ($text)=@_; 884: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 885: } 886: 887: sub actualval { 888: my ($i,$xmin,$xmax)=@_; 889: return $xmin+$i/400.*($xmax-$xmin); 890: } 891: 892: sub functionplotrulecheck { 893: my ($rule,$xmin,$xmax,$ymin,$ymax)=@_; 894: 895: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 896: =split(/\:/,$rule); 897: $percent=($percent>0?$percent:5); 898: &addlog("================="); 899: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 900: my $li=0; 901: my $lh=400; 902: 903: # Special case: the upper boundary was not defined 904: # and needs to be set to the value where 905: # the condition is not true anymore => set flag 906: 907: my $findupper=0; 908: if (($xfinal eq '') 909: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 910: && ($xfinallabel)) { 911: $findupper=1; 912: } 913: 914: # if a hard value is set for the boundaries, it overrides the label 915: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 916: $li=&array_index($xmin,$xmax,$xinitial); 917: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 918: } 919: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 920: $lh=&array_index($xmin,$xmax,$xfinal); 921: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 922: } 923: # if the label is defined, use it 924: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 925: &addlog("Using lower label $xinitiallabel"); 926: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 927: } else { 928: $li=&array_index($xmin,$xmax,$xinitial); 929: } 930: unless ($findupper) { 931: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 932: &addlog("Using upper label $xfinallabel"); 933: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 934: } else { 935: $lh=&array_index($xmin,$xmax,$xfinal); 936: } 937: } 938: # Basic sanity checks 939: if ($li<0) { $li=0; } 940: if ($lh>400) { $lh=400; } 941: if (($li>$lh) || (!defined($lh))) { 942: $lh=$li; 943: } 944: 945: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 946: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 947: if ($findupper) { 948: &addlog("Looking for label $xfinallabel"); 949: } 950: my $tol=$percent*($ymax-$ymin)/100; 951: if ($xmax>$xmin) { 952: if ($derivative==2) { 953: $tol=4.*$tol/($xmax-$xmin); 954: } elsif ($derivative==1) { 955: $tol=2.*$tol/($xmax-$xmin); 956: } elsif ($derivative==-1) { 957: $tol=$tol*($xmax-$xmin)/2.; 958: } 959: } 960: my $integral=0; 961: my $binwidth=($xmax-$xmin)/400.; 962: if (($derivative<0) && (!$findupper)) { 963: # definite integral, calculate over whole length 964: &addlog("Calculating definite integral"); 965: for (my $i=$li; $i<=$lh; $i++) { 966: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 967: } 968: unless (&compare_rel($relationship,$value,$integral,$tol)) { 969: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 970: &addlog("Rule $label failed."); 971: my $hintlabel=$label; 972: $hintlabel=~s/^R//; 973: push(@Apache::functionplotresponse::failedrules,$hintlabel); 974: &addlog("Set hint condition $hintlabel"); 975: return 0; 976: } 977: } else { 978: for (my $i=$li; $i<=$lh; $i++) { 979: my $val; 980: if ($derivative==2) { 981: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 982: } elsif ($derivative==1) { 983: $val=$Apache::functionplotresponse::dfuncdx[$i]; 984: } elsif ($derivative==-1) { 985: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 986: $val=$integral; 987: } else { 988: $val=$Apache::functionplotresponse::func[$i]; 989: } 990: unless (&compare_rel($relationship,$value,$val,$tol)) { 991: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 992: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 993: if (($findupper) && ($i>$li)) { 994: # check for minimum and maximum lengths 995: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 996: if ($minimumlength) { 997: if ($length<$minimumlength) { 998: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 999: return 0; 1000: } 1001: } 1002: if ($maximumlength) { 1003: if ($length>$maximumlength) { 1004: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 1005: return 0; 1006: } 1007: } 1008: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1009: &addlog("Rule $label passed, setting label $xfinallabel"); 1010: return 1; 1011: } else { 1012: &addlog("Rule $label failed."); 1013: my $hintlabel=$label; 1014: $hintlabel=~s/^R//; 1015: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1016: &addlog("Set hint condition $hintlabel"); 1017: return 0; 1018: } 1019: } 1020: } 1021: } 1022: &addlog("Rule $label passed."); 1023: return 1; 1024: } 1025: 1026: sub start_functionplotruleset { 1027: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1028: if ($target eq 'edit') { 1029: return &Apache::edit::start_table($token). 1030: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 1031: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1032: .&Apache::edit::deletelist($target,$token).'   '. 1033: &Apache::edit::insertlist($target,$token) 1034: .'</span></td>' 1035: ."<td> " 1036: .&Apache::edit::end_row() 1037: .&Apache::edit::start_spanning_row() 1038: ."\n"; 1039: } 1040: } 1041: 1042: sub end_functionplotruleset { 1043: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1044: my $id=$Apache::inputtags::response[-1]; 1045: my $partid=$Apache::inputtags::part; 1046: my $internalid = $partid.'_'.$id; 1047: 1048: if ($target eq 'edit' ) { 1049: return &Apache::edit::end_table(); 1050: } elsif ($target eq 'grade' 1051: && &Apache::response::submitted() 1052: && $Apache::lonhomework::type ne 'exam') { 1053: # 1054: # Actually grade 1055: # 1056: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1057: 1058: my $ad=''; 1059: undef %Apache::functionplotresponse::functionplotrulelabels; 1060: $Apache::functionplotresponse::ruleslog=''; 1061: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 1062: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 1063: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { 1064: $ad='NOT_FUNCTION'; 1065: } else { 1066: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 1067: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 1068: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 1069: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 1070: 1071: # We have a function that we can actually grade, go through the spline rules. 1072: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 1073: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) { 1074: $ad='INCORRECT'; 1075: last; 1076: } 1077: } 1078: # If it's not wrong, it's correct 1079: unless ($ad) { $ad='EXACT_ANS' }; 1080: } 1081: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 1082: &addlog("Assigned award detail: $ad"); 1083: # Store for later to be assigned at end_functionplotresponse 1084: $Apache::functionplotresponse::awarddetail=$ad; 1085: } 1086: } 1087: 1088: 1089: sub end_functionplotresponse { 1090: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1091: &Apache::response::end_response; 1092: 1093: my $result; 1094: my $id=$Apache::inputtags::response[-1]; 1095: my $partid=$Apache::inputtags::part; 1096: my $internalid = $partid.'_'.$id; 1097: 1098: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 1099: if ($target eq 'grade' 1100: && &Apache::response::submitted() 1101: && $Apache::lonhomework::type eq 'exam') { 1102: 1103: &Apache::response::scored_response($partid,$id); 1104: 1105: } elsif ($target eq 'grade' 1106: && &Apache::response::submitted() 1107: && $Apache::lonhomework::type ne 'exam') { 1108: my ($response,%coords)=&get_answer_from_form_fields($internalid); 1109: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 1110: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 1111: # 1112: # Assign grade 1113: # 1114: my $ad=$Apache::functionplotresponse::awarddetail; 1115: # 1116: # Store grading info 1117: # 1118: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 1119: &Apache::response::handle_previous(\%previous,$ad); 1120: } elsif ($target eq 'web') { 1121: undef @Apache::functionplotresponse::failedrules; 1122: } 1123: return $result; 1124: } 1125: 1126: sub end_functionplotelements { 1127: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1128: my $result=''; 1129: my $id=$Apache::inputtags::response[-1]; 1130: my $partid=$Apache::inputtags::part; 1131: my $internalid = $partid.'_'.$id; 1132: if ($target eq 'edit' ) { 1133: $result=&Apache::edit::end_table(); 1134: } elsif ($target eq 'web') { 1135: # Now is the time to render all of the stored splines 1136: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1137: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1138: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax); 1139: } 1140: # close the init script 1141: $result.=&end_init_script(); 1142: # register all splines in this response 1143: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 1144: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 1145: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1146: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 1147: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 1148: } 1149: # generate the input fields 1150: $result.=$Apache::functionplotresponse::inputfields; 1151: # actually start the <applet>-tag 1152: $result.=&geogebra_startcode($internalid); 1153: # load the spline bytecode 1154: $result.=&geogebra_spline_program(); 1155: # set default parameters 1156: $result.=&geogebra_default_parameters($internalid); 1157: # close the <applet>-tag 1158: $result.=&geogebra_endcode(); 1159: } 1160: return $result; 1161: } 1162: 1163: sub boundaries { 1164: my ($parstack,$safeeval,$level)=@_; 1165: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 1166: $xmin=(defined($xmin)?$xmin:-10); 1167: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 1168: $xmax=(defined($xmax)?$xmax:10); 1169: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 1170: $ymin=(defined($ymin)?$ymin:-10); 1171: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 1172: $ymax=(defined($ymax)?$ymax:10); 1173: if ($xmax<=$xmin) { 1174: $xmax=$xmin+20; 1175: } 1176: if ($ymax<=$ymin) { 1177: $ymax=$ymin+20; 1178: } 1179: return ($xmin,$xmax,$ymin,$ymax); 1180: } 1181: 1182: sub start_functionplotelements { 1183: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1184: my $result=''; 1185: my $id=$Apache::inputtags::response[-1]; 1186: my $partid=$Apache::inputtags::part; 1187: my $internalid = $partid.'_'.$id; 1188: 1189: if ($target eq 'edit') { 1190: return &Apache::edit::start_table($token). 1191: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 1192: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1193: .&Apache::edit::deletelist($target,$token).'   '. 1194: &Apache::edit::insertlist($target,$token) 1195: .'</span></td>' 1196: ."<td> " 1197: .&Apache::edit::end_row() 1198: .&Apache::edit::start_spanning_row() 1199: ."\n"; 1200: } elsif ($target eq 'web') { 1201: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1202: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1203: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1204: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1205: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 1206: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 1207: 1208: 1209: # paste in the update routine to receive stuff back from the applet 1210: $result.=&update_script($internalid); 1211: # start the initscript for this applet 1212: $result.=&start_init_script($internalid); 1213: # put the axis commands inside 1214: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 1215: $result.=&axes_label($internalid,$xlabel,$ylabel); 1216: # init script is left open 1217: } 1218: return $result; 1219: } 1220: 1221: 1; 1222: 1223: __END__ 1224: 1225: =head1 NAME 1226: 1227: Apache::functionplotresponse.pm; 1228: 1229: =head1 SYNOPSIS 1230: 1231: Handles tags associated with accepting function plots. 1232: 1233: This is part of the LearningOnline Network with CAPA project 1234: described at http://www.lon-capa.org. 1235: 1236: =head1 HANDLER SUBROUTINE 1237: 1238: start_functionplotresponse() 1239: 1240: =head1 OTHER SUBROUTINES 1241: 1242: =over 1243: 1244: =item end_functionplotresponse() 1245: 1246: =back 1247: 1248: =cut