loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
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Fri Jan 28 16:06:49 2011 UTC (13 years, 3 months ago) by www
Branches: MAIN
CVS tags: HEAD

Sanity check of rule boundaries

1: # LearningOnline Network with CAPA 2: # option list style responses 3: # 4: # $Id: functionplotresponse.pm,v 1.53 2011/01/28 16:06:49 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()',200) }"; 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,$fixed)=@_; 165: my $mult=($fixed?'a*':''); 166: return (<<ENDSETVARIABLE); 167: document.ggbApplet_$id.evalCommand("a=1"); 168: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)"); 169: document.ggbApplet_$id.setLabelVisible("$variable",false); 170: ENDSETVARIABLE 171: } 172: 173: # 174: # Set a slope coordinate variable 175: # 176: sub set_slope_coordinate { 177: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_; 178: my $xvariable=$variable.'x'; 179: my $yvariable=$variable.'y'; 180: my $domain=$xmax-$xmin; 181: my $range=$ymax-$ymin; 182: my $xinterval=$domain/100.; 183: my $yinterval=$range/200.; 184: my $mult=($fixed?'a*':''); 185: return (<<ENDSETSVARIABLE); 186: document.ggbApplet_$id.evalCommand("a=1"); 187: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]"); 188: document.ggbApplet_$id.setVisible("$xvariable", false); 189: document.ggbApplet_$id.evalCommand("$xvariable=$xrel"); 190: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]"); 191: document.ggbApplet_$id.setVisible("$yvariable", false); 192: document.ggbApplet_$id.evalCommand("$yvariable=$yrel"); 193: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))"); 194: document.ggbApplet_$id.setLabelVisible("$variable", false); 195: ENDSETSVARIABLE 196: } 197: 198: # 199: # Input field name for a coordinate variable 200: # 201: 202: sub field_name { 203: my ($id,$variable,$name)=@_; 204: return "HWVAL_$id\_$variable\_$name"; 205: } 206: 207: # 208: # Generate an input field for a coordinate variable 209: # 210: 211: sub generate_input_field { 212: my ($id,$variable,$x,$y)=@_; 213: $Apache::functionplotresponse::inputfields.= 214: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 215: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 216: } 217: 218: # 219: # Initialize a new point coordinate variable at set a listener on it 220: # 221: sub new_point_coordinate { 222: my ($id,$variable,$x,$y,$fixed)=@_; 223: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 224: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 225: } 226: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 227: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 228: } 229: &generate_input_field($id,$variable,$x,$y); 230: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable); 231: } 232: 233: # 234: # Initialize a new slope coordinate variable at set a listener on it 235: # 236: sub new_slope_coordinate { 237: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 238: # 239: # $variable: name of the slope point 240: # $x, $y: coordinates of the slope point 241: # $pointname: name of the associated point point 242: # $xp $yp: coordinates of the point point 243: # 244: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 245: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 246: } 247: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 248: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 249: } 250: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) { 251: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')}; 252: } 253: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) { 254: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')}; 255: } 256: 257: &generate_input_field($id,$variable,$x,$y); 258: my $xrel=$x-$xp; 259: my $yrel=$y-$yp; 260: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable); 261: } 262: 263: # 264: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 265: # It then starts the right headers 266: # 267: sub start_init_script { 268: my ($id)=@_; 269: # Add id to the list of ggbInit_$id functions that need to be called 270: push(@Apache::functionplotresponse::callscripts,$id); 271: # ... and open this function 272: return (<<ENDSTARTINIT); 273: <script type="text/javascript"> 274: // <![CDATA[ 275: // variable that will eventually be passed back to the server 276: var coordinateMap_$id = []; 277: // flag for not loaded yet 278: var loaded_$id=false; 279: // Init-function for applet 280: function ggbInit_$id() { 281: ENDSTARTINIT 282: } 283: 284: # 285: # This sets the axes inside ggbInit_$id 286: # 287: 288: sub axes_script { 289: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 290: return (<<ENDAXESSCRIPT); 291: // changes (xmin, xmax, ymin, ymax) 292: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax); 293: 294: // makes the (x,y) axis (in)visible 295: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible); 296: // makes the grid (in)visible 297: document.ggbApplet_$id.setGridVisible($gvisible); 298: ENDAXESSCRIPT 299: } 300: 301: sub axes_label { 302: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_; 303: unless ($xlabel || $ylabel) { return ''; } 304: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");'; 305: if ($xlabel) { 306: if (($ymin<0) && ($ymax>0)) { 307: $return.=(<<ENDXAXISLABELSCRIPT); 308: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 309: document.ggbApplet_$id.setVisible("Xlabel",false); 310: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 311: ENDXAXISLABELSCRIPT 312: } else { 313: $return.=(<<ENDXOFFAXISLABEL); 314: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]"); 315: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]"); 316: ENDXOFFAXISLABEL 317: } 318: } 319: if ($ylabel) { 320: if (($xmin<0) && ($xmax>0)) { 321: $return.=(<<ENDYAXISLABELSCRIPT); 322: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 323: document.ggbApplet_$id.setVisible("Ylabel",false); 324: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 325: ENDYAXISLABELSCRIPT 326: } else { 327: $return.=(<<ENDYOFFAXISLABEL); 328: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]"); 329: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]"); 330: ENDYOFFAXISLABEL 331: } 332: } 333: return $return; 334: } 335: 336: sub plot_script { 337: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_; 338: $label=~s/\W//g; 339: if (($label) && ($label!~/^[A-Za-z]/)) { 340: $label='C'.$label; 341: } 342: my $visible=0; 343: if ($label) { 344: $visible="1"; 345: } else { 346: $Apache::functionplotresponse::counter++; 347: $label='C'.$Apache::functionplotresponse::counter; 348: } 349: my $rc=0; 350: my $gc=0; 351: my $bc=0; 352: if ($color) { 353: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/); 354: $rc=hex($rh); 355: $gc=hex($gh); 356: $bc=hex($bh); 357: } 358: if ($fixed) { 359: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n". 360: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n"). 361: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":''). 362: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":''); 363: } else { 364: return "document.ggbApplet_$id.evalCommand('y=$function');\n"; 365: } 366: } 367: 368: # 369: # Subroutine that generates code for spline $label based on stored information 370: # 371: 372: sub generate_spline { 373: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 374: my $result=''; 375: my $order=$Apache::functionplotresponse::splineorder{$label}; 376: my $x=$Apache::functionplotresponse::splineinitx{$label}; 377: my $y=$Apache::functionplotresponse::splineinity{$label}; 378: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 379: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 380: my @coords=(); 381: foreach my $i (1..$order) { 382: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); 383: my $xp=$x; 384: $x+=$sx/(2.*($order-1)); 385: push(@coords,$label.'P'.$i); 386: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); 387: $x+=$sx/(2.*($order-1)); 388: push(@coords,$label.'S'.$i); 389: } 390: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 391: return $result; 392: } 393: # 394: # <backgroundplot function="..." fixed="yes/no" /> 395: # 396: sub start_backgroundplot { 397: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 398: my $result=''; 399: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 400: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 401: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); 402: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); 403: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 404: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); 405: $color=~s/[^a-fA-F0-9]//gs; 406: unless (length($color)==6) { $color=''; } 407: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 408: 409: unless ($function) { $function="0"; } 410: if ($target eq 'web') { 411: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 412: unless (defined($xinitial)) { $xinitial=$xmin; } 413: unless (defined($xfinal)) { $xfinal=$xmax; } 414: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); 415: } elsif ($target eq 'edit') { 416: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 417: &Apache::edit::text_arg('Function:','function', 418: $token,'16'). 419: &Apache::edit::text_arg('Initial x-value (optional):','xinitial', 420: $token,'8'). 421: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 422: $token,'8'). 423: &Apache::edit::text_arg('Label on Plot:','label', 424: $token,'8'). 425: &Apache::edit::text_arg('Color (hex code):','color', 426: $token,'8'). 427: &Apache::edit::select_arg('Fixed location:','fixed', 428: ['yes','no'],$token). 429: &Apache::edit::end_row(); 430: } elsif ($target eq 'modified') { 431: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 432: $safeeval,'function','label','xinitial','xfinal','color','fixed'); 433: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 434: } 435: return $result; 436: } 437: 438: sub end_backgroundplot { 439: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 440: my $result=''; 441: if ($target eq 'edit') { 442: $result=&Apache::edit::end_table(); 443: } 444: return $result; 445: } 446: 447: # 448: # <functionplotrule ... /> 449: # 450: sub start_functionplotrule { 451: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 452: my $result=''; 453: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 454: $Apache::functionplotresponse::counter++; 455: if ($label=~/\W/) { 456: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 457: } 458: $label=~s/\W//gs; 459: unless ($label) { 460: $label='R'.$Apache::functionplotresponse::counter; 461: } else { 462: $label='R'.$label; 463: } 464: if ($Apache::functionplotresponse::splineorder{$label}) { 465: &Apache::lonxml::error(&mt('Rule indices must be unique.')); 466: } 467: 468: 469: if ($target eq 'grade') { 470: # Simply remember - in order - for later 471: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); 472: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); 473: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { 474: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); 475: } 476: $beginninglabel=~s/\W//gs; 477: $endinglabel=~s/\W//gs; 478: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); 479: $relationship=~s/\W//gs; 480: $relationship=lc($relationship); 481: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { 482: &Apache::lonxml::warning(&mt('Rule relationship not defined.')); 483: $relationship='eq'; 484: } 485: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); 486: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { 487: &Apache::lonxml::warning(&mt('Rule derivative not defined.')); 488: $derivative=0; 489: } 490: push(@Apache::functionplotresponse::functionplotrules,join(':',( 491: $label, 492: $derivative, 493: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), 494: $beginninglabel, 495: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), 496: $endinglabel, 497: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), 498: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), 499: $relationship, 500: &Apache::lonxml::get_param('value',$parstack,$safeeval), 501: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) 502: ))); 503: } elsif ($target eq 'edit') { 504: $result=&Apache::edit::tag_start($target,$token,'Function Plot Evaluation Rule'). 505: &Apache::edit::text_arg('Index/Name:','index', 506: $token,'10').' '. 507: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder', 508: [['0','Function itself'], 509: ['1','First derivative'], 510: ['2','Second derivative'], 511: ['-1','Integral']],$token).'<br />'. 512: &Apache::edit::text_arg('Initial x-value:','xinitial', 513: $token,'8'). 514: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', 515: [['start','Start of Plot'], 516: ['end','End of Plot']],$token,'8').'<br />'. 517: 518: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 519: $token,'8'). 520: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', 521: [['end','End of Plot']],$token,'8').'<br />'. 522: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', 523: $token,'8'). 524: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', 525: $token,'8').'<br />'. 526: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', 527: [['eq','equal'], 528: ['ne','not equal'], 529: ['ge','greater than or equal'], 530: ['gt','greater than'], 531: ['lt','less than'], 532: ['le','less than or equal']],$token). 533: $result.= &Apache::edit::select_or_text_arg('Value:','value', 534: [['undef','not defined']],$token,'8'). 535: &Apache::edit::text_arg('Percent error:','percenterror', 536: $token,'8'). 537: &Apache::edit::end_row(); 538: } elsif ($target eq 'modified') { 539: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') & ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { 540: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; 541: } 542: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') & ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { 543: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; 544: } 545: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 546: $safeeval,'index','derivativeorder', 547: 'xinitial','xinitiallabel','xfinal','xfinallabel', 548: 'minimumlength','maximumlength', 549: 'relationship','value','percenterror'); 550: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 551: } 552: return $result; 553: } 554: 555: sub end_functionplotrule { 556: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 557: my $result=''; 558: if ($target eq 'edit') { 559: $result=&Apache::edit::end_table(); 560: } 561: return $result; 562: } 563: 564: 565: # 566: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 567: # 568: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 569: # 570: sub start_spline { 571: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 572: my $result=''; 573: if ($target eq 'web') { 574: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 575: $Apache::functionplotresponse::counter++; 576: if ($label=~/\W/) { 577: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 578: } 579: $label=~s/\W//gs; 580: unless ($label) { 581: $label='S'.$Apache::functionplotresponse::counter; 582: } else { 583: $label='S'.$label; 584: } 585: if ($Apache::functionplotresponse::splineorder{$label}) { 586: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 587: } 588: 589: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 590: if ($order<2) { $order=2; } 591: if ($order>8) { $order=8; } 592: $Apache::functionplotresponse::splineorder{$label}=$order; 593: 594: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 595: unless ($x) { $x=0; } 596: $Apache::functionplotresponse::splineinitx{$label}=$x; 597: 598: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 599: unless ($y) { $y=0; } 600: $Apache::functionplotresponse::splineinity{$label}=$y; 601: 602: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 603: unless ($sx) { $sx=$order; } 604: $Apache::functionplotresponse::splinescalex{$label}=$sx; 605: 606: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 607: unless ($sy) { $sy=2; } 608: $Apache::functionplotresponse::splinescaley{$label}=$sy; 609: } elsif ($target eq 'edit') { 610: $result=&Apache::edit::tag_start($target,$token,'Spline'). 611: &Apache::edit::text_arg('Index:','index', 612: $token,'4').' '. 613: &Apache::edit::select_arg('Order:','order', 614: ['2','3','4','5','6','7','8'],$token).' '. 615: &Apache::edit::text_arg('Initial x-value:','initx', 616: $token,'4').' '. 617: &Apache::edit::text_arg('Initial y-value:','inity', 618: $token,'4').' '. 619: &Apache::edit::text_arg('Scale x:','scalex', 620: $token,'4').' '. 621: &Apache::edit::text_arg('Scale y:','scaley', 622: $token,'4'). 623: &Apache::edit::end_row(); 624: } elsif ($target eq 'modified') { 625: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 626: $safeeval,'index','order','initx','inity', 627: 'scalex','scaley'); 628: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 629: } 630: return $result; 631: } 632: 633: sub end_spline { 634: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 635: my $result=''; 636: if ($target eq 'edit') { 637: $result=&Apache::edit::end_table(); 638: } 639: return $result; 640: } 641: 642: sub end_init_script { 643: return (<<ENDENDINIT); 644: } 645: // ]]> 646: </script> 647: ENDENDINIT 648: } 649: 650: # 651: # Storing and restoring spline coordinates from part answers 652: # 653: sub decode_previous_answer { 654: my ($answer)=@_; 655: foreach my $coordinate (split(/\,/,$answer)) { 656: my ($key,$value)=split(/\=/,$coordinate); 657: $Apache::functionplotresponse::previous{$key}=$value; 658: } 659: } 660: 661: sub get_answer_from_form_fields { 662: my ($id)=@_; 663: my $answer=''; 664: my %coords=(); 665: foreach my $field (keys(%env)) { 666: if ($field=~/^form\.HWVAL\_$id/) { 667: $field=~/^form\.(.*)$/; 668: $coords{$1}=$env{$field}; 669: } 670: } 671: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 672: return ($answer,%coords); 673: } 674: 675: # 676: # The following functions calculate the cubic-hermite splines server-side 677: # 678: 679: sub cubic_hermite { 680: my ($t,$p1,$s1,$p2,$s2)=@_; 681: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 682: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 683: } 684: 685: # 686: # d/dt(...) 687: # 688: 689: sub ddt_cubic_hermite { 690: my ($t,$p1,$s1,$p2,$s2)=@_; 691: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 692: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 693: } 694: 695: # 696: # d^2/dt^2(...) 697: # 698: 699: sub d2dt2_cubic_hermite { 700: my ($t,$p1,$s1,$p2,$s2)=@_; 701: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 702: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 703: } 704: 705: # 706: # Array index calculation 707: # 708: sub array_index { 709: my ($xmin,$xmax,$x)=@_; 710: if ($x ne '') { 711: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 712: } else { 713: return undef; 714: } 715: } 716: 717: # 718: # Populate the arrays 719: # 720: 721: sub populate_arrays { 722: my ($id,$xmin,$xmax)=@_; 723: for (my $i=0; $i<=400; $i++) { 724: $Apache::functionplotresponse::actualxval[$i]=undef; 725: $Apache::functionplotresponse::func[$i]=undef; 726: $Apache::functionplotresponse::dfuncdx[$i]=undef; 727: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 728: } 729: unless ($xmax>$xmin) { return 'no_func'; } 730: # Run over all splines in response 731: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 732: my $xiold=-1; 733: # Run over all points in spline 734: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 735: my $ni=$i+1; 736: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 737: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 738: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 739: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 740: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 741: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 742: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 743: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 744: # Run in small steps over spline parameter 745: for (my $t=0; $t<=1; $t+=0.0001) { 746: my $xreal=&cubic_hermite($t,@xparms); 747: my $xi=&array_index($xmin,$xmax,$xreal); 748: if ($xi<$xiold) { return 'no_func'; } 749: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 750: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } 751: $xiold=$xi; 752: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 753: # Function value 754: my $funcval=&cubic_hermite($t,@yparms); 755: $Apache::functionplotresponse::func[$xi]=$funcval; 756: if (defined($funcval)) { 757: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 758: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 759: } 760: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 761: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 762: } 763: } 764: # Chain rule 765: # dy/dx=dy/dt/(dx/dt) 766: my $dxdt=&ddt_cubic_hermite($t,@xparms); 767: if ($dxdt) { 768: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 769: # Second derivative 770: $Apache::functionplotresponse::d2funcdx2[$xi]= 771: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 772: ($dxdt*$dxdt*$dxdt); 773: } 774: } 775: } 776: } 777: } 778: } 779: 780: # 781: # Implementation of <functionplotresponse> 782: # 783: 784: sub start_functionplotresponse { 785: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 786: my $result=''; 787: # To remember the splines - somehow, they need to come last 788: undef %Apache::functionplotresponse::splineorder; 789: undef %Apache::functionplotresponse::splineinitx; 790: undef %Apache::functionplotresponse::splineinity; 791: undef %Apache::functionplotresponse::splinescalex; 792: undef %Apache::functionplotresponse::splinescaley; 793: # Remember input fields, etc 794: undef %Apache::functionplotresponse::previous; 795: $Apache::functionplotresponse::inputfields=''; 796: $Apache::functionplotresponse::counter=0; 797: # Remember rules 798: undef @Apache::functionplotresponse::functionplotrules; 799: # Remember failed rules 800: if ($target eq 'grade') { 801: undef @Apache::functionplotresponse::failedrules; 802: } 803: # Delete previous awards 804: undef $Apache::functionplotresponse::awarddetail; 805: # Part and ID 806: my $partid=$Apache::inputtags::part; 807: my $id=&Apache::response::start_response($parstack,$safeeval); 808: # Internal ID to mark the applet and its coordinates 809: my $internalid = $partid.'_'.$id; 810: # Previous answer 811: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 812: 813: # Parameters of <functionplotresponse> 814: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 815: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 816: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 817: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 818: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 819: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 820: if ($target eq 'edit') { 821: $result.=&Apache::edit::start_table($token) 822: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 823: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 824: .&Apache::edit::deletelist($target,$token).'   ' 825: .&Apache::edit::insertlist($target,$token).'   ' 826: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') 827: .'</span></td>' 828: ."<td> " 829: .&Apache::edit::end_row() 830: .&Apache::edit::start_spanning_row() 831: ."\n"; 832: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel', 833: $token,'6').' '. 834: &Apache::edit::text_arg('Minimum x-value:','xmin', 835: $token,'4').' '. 836: &Apache::edit::text_arg('Maximum x-value:','xmax', 837: $token,'4').' '. 838: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 839: ['yes','no'],$token).'<br />'. 840: &Apache::edit::text_arg('Label y-axis:','ylabel', 841: $token,'6').' '. 842: &Apache::edit::text_arg('Minimum y-value:','ymin', 843: $token,'4').' '. 844: &Apache::edit::text_arg('Maximum y-value:','ymax', 845: $token,'4').' '. 846: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 847: ['yes','no'],$token).'<br />'. 848: &Apache::edit::select_arg('Grid visible:','gridvisible', 849: ['yes','no'],$token).'<br />'. 850: &Apache::edit::text_arg('Background plot(s) for answer (function:xmin:xmax,function:xmin:xmax,...):', 851: 'answerdisplay',$token,'50'); 852: 853: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 854: } elsif ($target eq 'modified') { 855: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 856: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax', 857: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); 858: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 859: 860: } elsif ($target eq 'meta') { 861: $result=&Apache::response::meta_package_write('functionplotresponse'); 862: } elsif (($target eq 'answer') && 863: ($env{'form.answer_output_mode'} ne 'tex') && 864: ($Apache::lonhomework::viewgrades == 'F')) { 865: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 866: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen(); 867: my $start_page = &Apache::loncommon::start_page('Rules Log', undef, 868: {'only_body' => 1, 869: 'bgcolor' => '#FFFFFF', 870: 'js_ready' => 1,}); 871: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,}); 872: $uname =~s/\W//g; 873: $udom =~s/\W//g; 874: my $function_name = 875: join('_','LONCAPA_scriptvars',$uname,$udom, 876: $env{'form.counter'},$Apache::lonxml::curdepth); 877: my $rules_var ="<script type=\"text/javascript\"> 878: // <![CDATA[ 879: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>". 880: $Apache::functionplotresponse::ruleslog. 881: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()} 882: // ]]> 883: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />"; 884: &Apache::lonxml::add_script_result($rules_var); 885: } 886: 887: return $result; 888: } 889: 890: sub compare_rel { 891: my ($relationship,$value,$realval,$tol)=@_; 892: # is the real value undefined? 893: unless (defined($realval)) { 894: # the real value is not defined 895: if ($relationship eq 'eq') { 896: if ($value eq 'undef') { 897: return 1; 898: } else { 899: return 0; 900: } 901: } elsif ($relationship eq 'ne') { 902: if ($value eq 'undef') { 903: return 0; 904: } else { 905: return 1; 906: } 907: } else { 908: return 0; 909: } 910: } 911: 912: # is the expected value undefined? 913: if ($value eq 'undef') { 914: # but by now we know that the real value is defined 915: return 0; 916: } 917: 918: # both are defined. 919: if ($relationship eq 'gt') { 920: return ($realval>$value); 921: } elsif ($relationship eq 'ge') { 922: return ($realval>$value-$tol); 923: } elsif ($relationship eq 'lt') { 924: return ($realval<$value); 925: } elsif ($relationship eq 'le') { 926: return ($realval<$value+$tol); 927: } elsif ($relationship eq 'ne') { 928: return (abs($value-$realval)>$tol); 929: } else { 930: return (abs($value-$realval)<$tol); 931: } 932: return 0; 933: } 934: 935: sub addlog { 936: my ($text)=@_; 937: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 938: } 939: 940: sub actualval { 941: my ($i,$xmin,$xmax)=@_; 942: return $xmin+$i/400.*($xmax-$xmin); 943: } 944: 945: sub functionplotrulecheck { 946: my ($rule,$xmin,$xmax,$ymin,$ymax)=@_; 947: 948: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 949: =split(/\:/,$rule); 950: $percent=($percent>0?$percent:5); 951: &addlog("================="); 952: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 953: if ((defined($minimumlength)) || (defined($maximumlength))) { 954: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); 955: } 956: my $li=0; 957: my $lh=400; 958: 959: # Special case: the upper boundary was not defined 960: # and needs to be set to the value where 961: # the condition is not true anymore => set flag 962: 963: my $findupper=0; 964: if (($xfinal eq '') 965: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 966: && ($xfinallabel)) { 967: $findupper=1; 968: } 969: 970: # if a hard value is set for the boundaries, it overrides the label 971: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 972: $li=&array_index($xmin,$xmax,$xinitial); 973: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 974: } 975: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 976: $lh=&array_index($xmin,$xmax,$xfinal); 977: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 978: } 979: # if the label is defined, use it 980: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 981: &addlog("Using lower label $xinitiallabel"); 982: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 983: } else { 984: $li=&array_index($xmin,$xmax,$xinitial); 985: } 986: unless ($findupper) { 987: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 988: &addlog("Using upper label $xfinallabel"); 989: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 990: } else { 991: $lh=&array_index($xmin,$xmax,$xfinal); 992: } 993: } 994: # Basic sanity checks 995: if ($li<0) { $li=0; } 996: if ($lh>400) { $lh=400; } 997: if (($li>$lh) || (!defined($lh))) { 998: $lh=$li; 999: } 1000: 1001: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 1002: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 1003: if ($findupper) { 1004: &addlog("Looking for label $xfinallabel"); 1005: } 1006: my $tol=$percent*($ymax-$ymin)/100; 1007: if ($xmax>$xmin) { 1008: if ($derivative==2) { 1009: $tol=4.*$tol/($xmax-$xmin); 1010: } elsif ($derivative==1) { 1011: $tol=2.*$tol/($xmax-$xmin); 1012: } elsif ($derivative==-1) { 1013: $tol=$tol*($xmax-$xmin)/2.; 1014: } 1015: } 1016: my $integral=0; 1017: my $binwidth=($xmax-$xmin)/400.; 1018: if (($derivative<0) && (!$findupper)) { 1019: # definite integral, calculate over whole length 1020: &addlog("Calculating definite integral"); 1021: for (my $i=$li; $i<=$lh; $i++) { 1022: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1023: } 1024: unless (&compare_rel($relationship,$value,$integral,$tol)) { 1025: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 1026: &addlog("Rule $label failed."); 1027: my $hintlabel=$label; 1028: $hintlabel=~s/^R//; 1029: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1030: &addlog("Set hint condition $hintlabel"); 1031: return 0; 1032: } 1033: } else { 1034: for (my $i=$li; $i<=$lh; $i++) { 1035: my $val; 1036: if ($derivative==2) { 1037: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 1038: } elsif ($derivative==1) { 1039: $val=$Apache::functionplotresponse::dfuncdx[$i]; 1040: } elsif ($derivative==-1) { 1041: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1042: $val=$integral; 1043: } else { 1044: $val=$Apache::functionplotresponse::func[$i]; 1045: } 1046: unless (&compare_rel($relationship,$value,$val,$tol)) { 1047: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 1048: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 1049: if (($findupper) && ($i>$li)) { 1050: # Check lengths 1051: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1052: # Successfully found a new label, set it 1053: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1054: &addlog("Rule $label passed, setting label $xfinallabel"); 1055: return 1; 1056: } else { 1057: &addlog("Rule $label failed."); 1058: &setfailed($label); 1059: return 0; 1060: } 1061: } 1062: } 1063: } 1064: # Corner case where this makes sense: using start or stop as defined labels 1065: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1066: &addlog("Rule $label passed."); 1067: return 1; 1068: } 1069: 1070: # 1071: # check for minimum and maximum lengths 1072: # 1073: 1074: sub checklength { 1075: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; 1076: unless (($minimumlength) || ($maximumlength)) { return 1; } 1077: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 1078: if ($minimumlength) { 1079: if ($length<$minimumlength) { 1080: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 1081: &setfailed($label); 1082: return 0; 1083: } 1084: } 1085: if ($maximumlength) { 1086: if ($length>$maximumlength) { 1087: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 1088: &setfailed($label); 1089: return 0; 1090: } 1091: } 1092: return 1; 1093: } 1094: 1095: sub setfailed { 1096: my ($label)=@_; 1097: my $hintlabel=$label; 1098: $hintlabel=~s/^R//; 1099: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1100: &addlog("Set hint condition $hintlabel"); 1101: } 1102: 1103: sub start_functionplotruleset { 1104: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1105: if ($target eq 'edit') { 1106: return &Apache::edit::start_table($token). 1107: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 1108: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1109: .&Apache::edit::deletelist($target,$token).'   '. 1110: &Apache::edit::insertlist($target,$token).'   ' 1111: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') 1112: .'</span></td>' 1113: ."<td> " 1114: .&Apache::edit::end_row() 1115: .&Apache::edit::start_spanning_row() 1116: ."\n"; 1117: } 1118: } 1119: 1120: sub end_functionplotruleset { 1121: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1122: my $id=$Apache::inputtags::response[-1]; 1123: my $partid=$Apache::inputtags::part; 1124: my $internalid = $partid.'_'.$id; 1125: 1126: if ($target eq 'edit' ) { 1127: return &Apache::edit::end_table(); 1128: } elsif ($target eq 'grade' 1129: && &Apache::response::submitted() 1130: && $Apache::lonhomework::type ne 'exam') { 1131: # 1132: # Actually grade 1133: # 1134: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1135: 1136: my $ad=''; 1137: undef %Apache::functionplotresponse::functionplotrulelabels; 1138: $Apache::functionplotresponse::ruleslog=''; 1139: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 1140: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 1141: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { 1142: $ad='NOT_FUNCTION'; 1143: } else { 1144: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 1145: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 1146: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 1147: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 1148: 1149: # We have a function that we can actually grade, go through the spline rules. 1150: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 1151: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) { 1152: $ad='INCORRECT'; 1153: last; 1154: } 1155: } 1156: # If it's not wrong, it's correct 1157: unless ($ad) { $ad='EXACT_ANS' }; 1158: } 1159: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 1160: &addlog("Assigned award detail: $ad"); 1161: # Store for later to be assigned at end_functionplotresponse 1162: $Apache::functionplotresponse::awarddetail=$ad; 1163: } 1164: } 1165: 1166: 1167: sub end_functionplotresponse { 1168: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1169: &Apache::response::end_response; 1170: 1171: my $result; 1172: my $id=$Apache::inputtags::response[-1]; 1173: my $partid=$Apache::inputtags::part; 1174: my $internalid = $partid.'_'.$id; 1175: 1176: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 1177: if ($target eq 'grade' 1178: && &Apache::response::submitted() 1179: && $Apache::lonhomework::type eq 'exam') { 1180: 1181: &Apache::response::scored_response($partid,$id); 1182: 1183: } elsif ($target eq 'grade' 1184: && &Apache::response::submitted() 1185: && $Apache::lonhomework::type ne 'exam') { 1186: my ($response,%coords)=&get_answer_from_form_fields($internalid); 1187: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 1188: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 1189: # 1190: # Assign grade 1191: # 1192: my $ad=$Apache::functionplotresponse::awarddetail; 1193: # 1194: # Store grading info 1195: # 1196: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 1197: &Apache::response::handle_previous(\%previous,$ad); 1198: } elsif ($target eq 'web') { 1199: undef @Apache::functionplotresponse::failedrules; 1200: } 1201: return $result; 1202: } 1203: 1204: sub end_functionplotelements { 1205: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1206: my $result=''; 1207: my $id=$Apache::inputtags::response[-1]; 1208: my $partid=$Apache::inputtags::part; 1209: my $internalid = $partid.'_'.$id; 1210: if ($target eq 'edit' ) { 1211: $result=&Apache::edit::end_table(); 1212: } elsif ($target eq 'web') { 1213: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1214: 1215: # Are we in show answer mode? 1216: my $showanswer=&Apache::response::show_answer(); 1217: if ($showanswer) { 1218: # Render answerdisplay 1219: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); 1220: if ($answerdisplay=~/\S/s) { 1221: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { 1222: my ($func,$xl,$xh)=split(/\s*\:\s*/,$plot); 1223: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } 1224: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } 1225: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); 1226: } 1227: } 1228: } 1229: my $fixed=0; 1230: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } 1231: # Now is the time to render all of the stored splines 1232: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1233: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); 1234: } 1235: # close the init script 1236: $result.=&end_init_script(); 1237: # register all splines in this response 1238: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 1239: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 1240: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1241: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 1242: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 1243: } 1244: # generate the input fields 1245: $result.=$Apache::functionplotresponse::inputfields; 1246: # actually start the <applet>-tag 1247: $result.=&geogebra_startcode($internalid); 1248: # load the spline bytecode 1249: $result.=&geogebra_spline_program(); 1250: # set default parameters 1251: $result.=&geogebra_default_parameters($internalid); 1252: # close the <applet>-tag 1253: $result.=&geogebra_endcode(); 1254: } 1255: return $result; 1256: } 1257: 1258: sub boundaries { 1259: my ($parstack,$safeeval,$level)=@_; 1260: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 1261: $xmin=(defined($xmin)?$xmin:-10); 1262: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 1263: $xmax=(defined($xmax)?$xmax:10); 1264: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 1265: $ymin=(defined($ymin)?$ymin:-10); 1266: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 1267: $ymax=(defined($ymax)?$ymax:10); 1268: if ($xmax<=$xmin) { 1269: $xmax=$xmin+20; 1270: } 1271: if ($ymax<=$ymin) { 1272: $ymax=$ymin+20; 1273: } 1274: return ($xmin,$xmax,$ymin,$ymax); 1275: } 1276: 1277: sub start_functionplotelements { 1278: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1279: my $result=''; 1280: my $id=$Apache::inputtags::response[-1]; 1281: my $partid=$Apache::inputtags::part; 1282: my $internalid = $partid.'_'.$id; 1283: 1284: if ($target eq 'edit') { 1285: return &Apache::edit::start_table($token). 1286: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 1287: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1288: .&Apache::edit::deletelist($target,$token).'   '. 1289: &Apache::edit::insertlist($target,$token).'   ' 1290: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') 1291: .'</span></td>' 1292: ."<td> " 1293: .&Apache::edit::end_row() 1294: .&Apache::edit::start_spanning_row() 1295: ."\n"; 1296: } elsif ($target eq 'web') { 1297: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1298: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1299: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1300: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1301: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 1302: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 1303: 1304: 1305: # paste in the update routine to receive stuff back from the applet 1306: $result.=&update_script($internalid); 1307: # start the initscript for this applet 1308: $result.=&start_init_script($internalid); 1309: # put the axis commands inside 1310: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 1311: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); 1312: # init script is left open 1313: } 1314: return $result; 1315: } 1316: 1317: 1; 1318: 1319: __END__ 1320: 1321: =head1 NAME 1322: 1323: Apache::functionplotresponse.pm; 1324: 1325: =head1 SYNOPSIS 1326: 1327: Handles tags associated with accepting function plots. 1328: 1329: This is part of the LearningOnline Network with CAPA project 1330: described at http://www.lon-capa.org. 1331: 1332: =head1 HANDLER SUBROUTINE 1333: 1334: start_functionplotresponse() 1335: 1336: =head1 OTHER SUBROUTINES 1337: 1338: =over 1339: 1340: =item end_functionplotresponse() 1341: 1342: =back 1343: 1344: =cut