loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.51: download - view: text, annotated - select for diffs
Tue Jan 25 20:52:08 2011 UTC (13 years, 3 months ago) by www
Branches: MAIN
CVS tags: HEAD

Do not allow the slider length to go to zero, so the point does not get "stuck."

1: # LearningOnline Network with CAPA 2: # option list style responses 3: # 4: # $Id: functionplotresponse.pm,v 1.51 2011/01/25 20:52:08 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,$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: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 540: $safeeval,'index','derivativeorder', 541: 'xinitial','xinitiallabel','xfinal','xfinallabel', 542: 'minimumlength','maximumlength', 543: 'relationship','value','percenterror'); 544: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 545: } 546: return $result; 547: } 548: 549: sub end_functionplotrule { 550: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 551: my $result=''; 552: if ($target eq 'edit') { 553: $result=&Apache::edit::end_table(); 554: } 555: return $result; 556: } 557: 558: 559: # 560: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 561: # 562: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 563: # 564: sub start_spline { 565: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 566: my $result=''; 567: if ($target eq 'web') { 568: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 569: $Apache::functionplotresponse::counter++; 570: if ($label=~/\W/) { 571: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 572: } 573: $label=~s/\W//gs; 574: unless ($label) { 575: $label='S'.$Apache::functionplotresponse::counter; 576: } else { 577: $label='S'.$label; 578: } 579: if ($Apache::functionplotresponse::splineorder{$label}) { 580: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 581: } 582: 583: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 584: if ($order<2) { $order=2; } 585: if ($order>8) { $order=8; } 586: $Apache::functionplotresponse::splineorder{$label}=$order; 587: 588: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 589: unless ($x) { $x=0; } 590: $Apache::functionplotresponse::splineinitx{$label}=$x; 591: 592: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 593: unless ($y) { $y=0; } 594: $Apache::functionplotresponse::splineinity{$label}=$y; 595: 596: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 597: unless ($sx) { $sx=$order; } 598: $Apache::functionplotresponse::splinescalex{$label}=$sx; 599: 600: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 601: unless ($sy) { $sy=2; } 602: $Apache::functionplotresponse::splinescaley{$label}=$sy; 603: } elsif ($target eq 'edit') { 604: $result=&Apache::edit::tag_start($target,$token,'Spline'). 605: &Apache::edit::text_arg('Index:','index', 606: $token,'4').' '. 607: &Apache::edit::select_arg('Order:','order', 608: ['2','3','4','5','6','7','8'],$token).' '. 609: &Apache::edit::text_arg('Initial x-value:','initx', 610: $token,'4').' '. 611: &Apache::edit::text_arg('Initial y-value:','inity', 612: $token,'4').' '. 613: &Apache::edit::text_arg('Scale x:','scalex', 614: $token,'4').' '. 615: &Apache::edit::text_arg('Scale y:','scaley', 616: $token,'4'). 617: &Apache::edit::end_row(); 618: } elsif ($target eq 'modified') { 619: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 620: $safeeval,'index','order','initx','inity', 621: 'scalex','scaley'); 622: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 623: } 624: return $result; 625: } 626: 627: sub end_spline { 628: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 629: my $result=''; 630: if ($target eq 'edit') { 631: $result=&Apache::edit::end_table(); 632: } 633: return $result; 634: } 635: 636: sub end_init_script { 637: return (<<ENDENDINIT); 638: } 639: // ]]> 640: </script> 641: ENDENDINIT 642: } 643: 644: # 645: # Storing and restoring spline coordinates from part answers 646: # 647: sub decode_previous_answer { 648: my ($answer)=@_; 649: foreach my $coordinate (split(/\,/,$answer)) { 650: my ($key,$value)=split(/\=/,$coordinate); 651: $Apache::functionplotresponse::previous{$key}=$value; 652: } 653: } 654: 655: sub get_answer_from_form_fields { 656: my ($id)=@_; 657: my $answer=''; 658: my %coords=(); 659: foreach my $field (keys(%env)) { 660: if ($field=~/^form\.HWVAL\_$id/) { 661: $field=~/^form\.(.*)$/; 662: $coords{$1}=$env{$field}; 663: } 664: } 665: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 666: return ($answer,%coords); 667: } 668: 669: # 670: # The following functions calculate the cubic-hermite splines server-side 671: # 672: 673: sub cubic_hermite { 674: my ($t,$p1,$s1,$p2,$s2)=@_; 675: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 676: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 677: } 678: 679: # 680: # d/dt(...) 681: # 682: 683: sub ddt_cubic_hermite { 684: my ($t,$p1,$s1,$p2,$s2)=@_; 685: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 686: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 687: } 688: 689: # 690: # d^2/dt^2(...) 691: # 692: 693: sub d2dt2_cubic_hermite { 694: my ($t,$p1,$s1,$p2,$s2)=@_; 695: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 696: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 697: } 698: 699: # 700: # Array index calculation 701: # 702: sub array_index { 703: my ($xmin,$xmax,$x)=@_; 704: if ($x ne '') { 705: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 706: } else { 707: return undef; 708: } 709: } 710: 711: # 712: # Populate the arrays 713: # 714: 715: sub populate_arrays { 716: my ($id,$xmin,$xmax)=@_; 717: for (my $i=0; $i<=400; $i++) { 718: $Apache::functionplotresponse::actualxval[$i]=undef; 719: $Apache::functionplotresponse::func[$i]=undef; 720: $Apache::functionplotresponse::dfuncdx[$i]=undef; 721: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 722: } 723: unless ($xmax>$xmin) { return 'no_func'; } 724: # Run over all splines in response 725: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 726: my $xiold=-1; 727: # Run over all points in spline 728: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 729: my $ni=$i+1; 730: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 731: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 732: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 733: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 734: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 735: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 736: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 737: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 738: # Run in small steps over spline parameter 739: for (my $t=0; $t<=1; $t+=0.0001) { 740: my $xreal=&cubic_hermite($t,@xparms); 741: my $xi=&array_index($xmin,$xmax,$xreal); 742: if ($xi<$xiold) { return 'no_func'; } 743: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 744: if (defined($Apache::functionplotresponse::func[$xi])) { return 'no_func'; } 745: $xiold=$xi; 746: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 747: # Function value 748: my $funcval=&cubic_hermite($t,@yparms); 749: $Apache::functionplotresponse::func[$xi]=$funcval; 750: if (defined($funcval)) { 751: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 752: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 753: } 754: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 755: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 756: } 757: } 758: # Chain rule 759: # dy/dx=dy/dt/(dx/dt) 760: my $dxdt=&ddt_cubic_hermite($t,@xparms); 761: if ($dxdt) { 762: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 763: # Second derivative 764: $Apache::functionplotresponse::d2funcdx2[$xi]= 765: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 766: ($dxdt*$dxdt*$dxdt); 767: } 768: } 769: } 770: } 771: } 772: } 773: 774: # 775: # Implementation of <functionplotresponse> 776: # 777: 778: sub start_functionplotresponse { 779: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 780: my $result=''; 781: # To remember the splines - somehow, they need to come last 782: undef %Apache::functionplotresponse::splineorder; 783: undef %Apache::functionplotresponse::splineinitx; 784: undef %Apache::functionplotresponse::splineinity; 785: undef %Apache::functionplotresponse::splinescalex; 786: undef %Apache::functionplotresponse::splinescaley; 787: # Remember input fields, etc 788: undef %Apache::functionplotresponse::previous; 789: $Apache::functionplotresponse::inputfields=''; 790: $Apache::functionplotresponse::counter=0; 791: # Remember rules 792: undef @Apache::functionplotresponse::functionplotrules; 793: # Remember failed rules 794: if ($target eq 'grade') { 795: undef @Apache::functionplotresponse::failedrules; 796: } 797: # Delete previous awards 798: undef $Apache::functionplotresponse::awarddetail; 799: # Part and ID 800: my $partid=$Apache::inputtags::part; 801: my $id=&Apache::response::start_response($parstack,$safeeval); 802: # Internal ID to mark the applet and its coordinates 803: my $internalid = $partid.'_'.$id; 804: # Previous answer 805: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 806: 807: # Parameters of <functionplotresponse> 808: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 809: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 810: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 811: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 812: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 813: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 814: if ($target eq 'edit') { 815: $result.=&Apache::edit::start_table($token) 816: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 817: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 818: .&Apache::edit::deletelist($target,$token).'   ' 819: .&Apache::edit::insertlist($target,$token).'   ' 820: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') 821: .'</span></td>' 822: ."<td> " 823: .&Apache::edit::end_row() 824: .&Apache::edit::start_spanning_row() 825: ."\n"; 826: $result.=&Apache::edit::text_arg('Label x-axis:','xlabel', 827: $token,'6').' '. 828: &Apache::edit::text_arg('Minimum x-value:','xmin', 829: $token,'4').' '. 830: &Apache::edit::text_arg('Maximum x-value:','xmax', 831: $token,'4').' '. 832: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 833: ['yes','no'],$token).'<br />'. 834: &Apache::edit::text_arg('Label y-axis:','ylabel', 835: $token,'6').' '. 836: &Apache::edit::text_arg('Minimum y-value:','ymin', 837: $token,'4').' '. 838: &Apache::edit::text_arg('Maximum y-value:','ymax', 839: $token,'4').' '. 840: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 841: ['yes','no'],$token).'<br />'. 842: &Apache::edit::select_arg('Grid visible:','gridvisible', 843: ['yes','no'],$token).'<br />'. 844: &Apache::edit::text_arg('Background plot(s) for answer (function:xmin:xmax,function:xmin:xmax,...):', 845: 'answerdisplay',$token,'50'); 846: 847: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 848: } elsif ($target eq 'modified') { 849: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 850: $safeeval,'xlabel','xmin','xmax','ylabel','ymin','ymax', 851: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); 852: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 853: 854: } elsif ($target eq 'meta') { 855: $result=&Apache::response::meta_package_write('functionplotresponse'); 856: } elsif (($target eq 'answer') && 857: ($env{'form.answer_output_mode'} ne 'tex') && 858: ($Apache::lonhomework::viewgrades == 'F')) { 859: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 860: my $windowopen=&Apache::lonhtmlcommon::javascript_docopen(); 861: my $start_page = &Apache::loncommon::start_page('Rules Log', undef, 862: {'only_body' => 1, 863: 'bgcolor' => '#FFFFFF', 864: 'js_ready' => 1,}); 865: my $end_page = &Apache::loncommon::end_page({'js_ready' => 1,}); 866: $uname =~s/\W//g; 867: $udom =~s/\W//g; 868: my $function_name = 869: join('_','LONCAPA_scriptvars',$uname,$udom, 870: $env{'form.counter'},$Apache::lonxml::curdepth); 871: my $rules_var ="<script type=\"text/javascript\"> 872: // <![CDATA[ 873: function $function_name() {newWindow=open('','new_W','width=500,height=500,scrollbars=1,resizable=yes');newWindow.$windowopen;newWindow.document.writeln('$start_page<pre>". 874: $Apache::functionplotresponse::ruleslog. 875: "<\\/pre>$end_page');newWindow.document.close();newWindow.focus()} 876: // ]]> 877: </script><a href=\"javascript:$function_name();void(0);\">".&mt('Rules Log')."</a><br />"; 878: &Apache::lonxml::add_script_result($rules_var); 879: } 880: 881: return $result; 882: } 883: 884: sub compare_rel { 885: my ($relationship,$value,$realval,$tol)=@_; 886: # is the real value undefined? 887: unless (defined($realval)) { 888: # the real value is not defined 889: if ($relationship eq 'eq') { 890: if ($value eq 'undef') { 891: return 1; 892: } else { 893: return 0; 894: } 895: } elsif ($relationship eq 'ne') { 896: if ($value eq 'undef') { 897: return 0; 898: } else { 899: return 1; 900: } 901: } else { 902: return 0; 903: } 904: } 905: 906: # is the expected value undefined? 907: if ($value eq 'undef') { 908: # but by now we know that the real value is defined 909: return 0; 910: } 911: 912: # both are defined. 913: if ($relationship eq 'gt') { 914: return ($realval>$value); 915: } elsif ($relationship eq 'ge') { 916: return ($realval>$value-$tol); 917: } elsif ($relationship eq 'lt') { 918: return ($realval<$value); 919: } elsif ($relationship eq 'le') { 920: return ($realval<$value+$tol); 921: } elsif ($relationship eq 'ne') { 922: return (abs($value-$realval)>$tol); 923: } else { 924: return (abs($value-$realval)<$tol); 925: } 926: return 0; 927: } 928: 929: sub addlog { 930: my ($text)=@_; 931: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 932: } 933: 934: sub actualval { 935: my ($i,$xmin,$xmax)=@_; 936: return $xmin+$i/400.*($xmax-$xmin); 937: } 938: 939: sub functionplotrulecheck { 940: my ($rule,$xmin,$xmax,$ymin,$ymax)=@_; 941: 942: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 943: =split(/\:/,$rule); 944: $percent=($percent>0?$percent:5); 945: &addlog("================="); 946: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 947: if ((defined($minimumlength)) || (defined($maximumlength))) { 948: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); 949: } 950: my $li=0; 951: my $lh=400; 952: 953: # Special case: the upper boundary was not defined 954: # and needs to be set to the value where 955: # the condition is not true anymore => set flag 956: 957: my $findupper=0; 958: if (($xfinal eq '') 959: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 960: && ($xfinallabel)) { 961: $findupper=1; 962: } 963: 964: # if a hard value is set for the boundaries, it overrides the label 965: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 966: $li=&array_index($xmin,$xmax,$xinitial); 967: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 968: } 969: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 970: $lh=&array_index($xmin,$xmax,$xfinal); 971: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 972: } 973: # if the label is defined, use it 974: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 975: &addlog("Using lower label $xinitiallabel"); 976: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 977: } else { 978: $li=&array_index($xmin,$xmax,$xinitial); 979: } 980: unless ($findupper) { 981: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 982: &addlog("Using upper label $xfinallabel"); 983: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 984: } else { 985: $lh=&array_index($xmin,$xmax,$xfinal); 986: } 987: } 988: # Basic sanity checks 989: if ($li<0) { $li=0; } 990: if ($lh>400) { $lh=400; } 991: if (($li>$lh) || (!defined($lh))) { 992: $lh=$li; 993: } 994: 995: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 996: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 997: if ($findupper) { 998: &addlog("Looking for label $xfinallabel"); 999: } 1000: my $tol=$percent*($ymax-$ymin)/100; 1001: if ($xmax>$xmin) { 1002: if ($derivative==2) { 1003: $tol=4.*$tol/($xmax-$xmin); 1004: } elsif ($derivative==1) { 1005: $tol=2.*$tol/($xmax-$xmin); 1006: } elsif ($derivative==-1) { 1007: $tol=$tol*($xmax-$xmin)/2.; 1008: } 1009: } 1010: my $integral=0; 1011: my $binwidth=($xmax-$xmin)/400.; 1012: if (($derivative<0) && (!$findupper)) { 1013: # definite integral, calculate over whole length 1014: &addlog("Calculating definite integral"); 1015: for (my $i=$li; $i<=$lh; $i++) { 1016: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1017: } 1018: unless (&compare_rel($relationship,$value,$integral,$tol)) { 1019: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 1020: &addlog("Rule $label failed."); 1021: my $hintlabel=$label; 1022: $hintlabel=~s/^R//; 1023: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1024: &addlog("Set hint condition $hintlabel"); 1025: return 0; 1026: } 1027: } else { 1028: for (my $i=$li; $i<=$lh; $i++) { 1029: my $val; 1030: if ($derivative==2) { 1031: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 1032: } elsif ($derivative==1) { 1033: $val=$Apache::functionplotresponse::dfuncdx[$i]; 1034: } elsif ($derivative==-1) { 1035: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1036: $val=$integral; 1037: } else { 1038: $val=$Apache::functionplotresponse::func[$i]; 1039: } 1040: unless (&compare_rel($relationship,$value,$val,$tol)) { 1041: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 1042: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 1043: if (($findupper) && ($i>$li)) { 1044: # Check lengths 1045: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1046: # Successfully found a new label, set it 1047: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1048: &addlog("Rule $label passed, setting label $xfinallabel"); 1049: return 1; 1050: } else { 1051: &addlog("Rule $label failed."); 1052: &setfailed($label); 1053: return 0; 1054: } 1055: } 1056: } 1057: } 1058: # Corner case where this makes sense: using start or stop as defined labels 1059: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1060: &addlog("Rule $label passed."); 1061: return 1; 1062: } 1063: 1064: # 1065: # check for minimum and maximum lengths 1066: # 1067: 1068: sub checklength { 1069: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; 1070: unless (($minimumlength) || ($maximumlength)) { return 1; } 1071: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 1072: if ($minimumlength) { 1073: if ($length<$minimumlength) { 1074: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 1075: &setfailed($label); 1076: return 0; 1077: } 1078: } 1079: if ($maximumlength) { 1080: if ($length>$maximumlength) { 1081: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 1082: &setfailed($label); 1083: return 0; 1084: } 1085: } 1086: return 1; 1087: } 1088: 1089: sub setfailed { 1090: my ($label)=@_; 1091: my $hintlabel=$label; 1092: $hintlabel=~s/^R//; 1093: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1094: &addlog("Set hint condition $hintlabel"); 1095: } 1096: 1097: sub start_functionplotruleset { 1098: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1099: if ($target eq 'edit') { 1100: return &Apache::edit::start_table($token). 1101: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 1102: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1103: .&Apache::edit::deletelist($target,$token).'   '. 1104: &Apache::edit::insertlist($target,$token).'   ' 1105: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') 1106: .'</span></td>' 1107: ."<td> " 1108: .&Apache::edit::end_row() 1109: .&Apache::edit::start_spanning_row() 1110: ."\n"; 1111: } 1112: } 1113: 1114: sub end_functionplotruleset { 1115: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1116: my $id=$Apache::inputtags::response[-1]; 1117: my $partid=$Apache::inputtags::part; 1118: my $internalid = $partid.'_'.$id; 1119: 1120: if ($target eq 'edit' ) { 1121: return &Apache::edit::end_table(); 1122: } elsif ($target eq 'grade' 1123: && &Apache::response::submitted() 1124: && $Apache::lonhomework::type ne 'exam') { 1125: # 1126: # Actually grade 1127: # 1128: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1129: 1130: my $ad=''; 1131: undef %Apache::functionplotresponse::functionplotrulelabels; 1132: $Apache::functionplotresponse::ruleslog=''; 1133: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 1134: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 1135: if (&populate_arrays($internalid,$xmin,$xmax) eq 'no_func') { 1136: $ad='NOT_FUNCTION'; 1137: } else { 1138: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 1139: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 1140: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 1141: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 1142: 1143: # We have a function that we can actually grade, go through the spline rules. 1144: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 1145: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax)) { 1146: $ad='INCORRECT'; 1147: last; 1148: } 1149: } 1150: # If it's not wrong, it's correct 1151: unless ($ad) { $ad='EXACT_ANS' }; 1152: } 1153: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 1154: &addlog("Assigned award detail: $ad"); 1155: # Store for later to be assigned at end_functionplotresponse 1156: $Apache::functionplotresponse::awarddetail=$ad; 1157: } 1158: } 1159: 1160: 1161: sub end_functionplotresponse { 1162: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1163: &Apache::response::end_response; 1164: 1165: my $result; 1166: my $id=$Apache::inputtags::response[-1]; 1167: my $partid=$Apache::inputtags::part; 1168: my $internalid = $partid.'_'.$id; 1169: 1170: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 1171: if ($target eq 'grade' 1172: && &Apache::response::submitted() 1173: && $Apache::lonhomework::type eq 'exam') { 1174: 1175: &Apache::response::scored_response($partid,$id); 1176: 1177: } elsif ($target eq 'grade' 1178: && &Apache::response::submitted() 1179: && $Apache::lonhomework::type ne 'exam') { 1180: my ($response,%coords)=&get_answer_from_form_fields($internalid); 1181: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 1182: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 1183: # 1184: # Assign grade 1185: # 1186: my $ad=$Apache::functionplotresponse::awarddetail; 1187: # 1188: # Store grading info 1189: # 1190: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 1191: &Apache::response::handle_previous(\%previous,$ad); 1192: } elsif ($target eq 'web') { 1193: undef @Apache::functionplotresponse::failedrules; 1194: } 1195: return $result; 1196: } 1197: 1198: sub end_functionplotelements { 1199: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 1200: my $result=''; 1201: my $id=$Apache::inputtags::response[-1]; 1202: my $partid=$Apache::inputtags::part; 1203: my $internalid = $partid.'_'.$id; 1204: if ($target eq 'edit' ) { 1205: $result=&Apache::edit::end_table(); 1206: } elsif ($target eq 'web') { 1207: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1208: 1209: # Are we in show answer mode? 1210: my $showanswer=&Apache::response::show_answer(); 1211: if ($showanswer) { 1212: # Render answerdisplay 1213: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); 1214: if ($answerdisplay=~/\S/s) { 1215: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { 1216: my ($func,$xl,$xh)=split(/\s*\:\s*/,$plot); 1217: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } 1218: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } 1219: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); 1220: } 1221: } 1222: } 1223: my $fixed=0; 1224: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } 1225: # Now is the time to render all of the stored splines 1226: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1227: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); 1228: } 1229: # close the init script 1230: $result.=&end_init_script(); 1231: # register all splines in this response 1232: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 1233: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 1234: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 1235: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 1236: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 1237: } 1238: # generate the input fields 1239: $result.=$Apache::functionplotresponse::inputfields; 1240: # actually start the <applet>-tag 1241: $result.=&geogebra_startcode($internalid); 1242: # load the spline bytecode 1243: $result.=&geogebra_spline_program(); 1244: # set default parameters 1245: $result.=&geogebra_default_parameters($internalid); 1246: # close the <applet>-tag 1247: $result.=&geogebra_endcode(); 1248: } 1249: return $result; 1250: } 1251: 1252: sub boundaries { 1253: my ($parstack,$safeeval,$level)=@_; 1254: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 1255: $xmin=(defined($xmin)?$xmin:-10); 1256: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 1257: $xmax=(defined($xmax)?$xmax:10); 1258: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 1259: $ymin=(defined($ymin)?$ymin:-10); 1260: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 1261: $ymax=(defined($ymax)?$ymax:10); 1262: if ($xmax<=$xmin) { 1263: $xmax=$xmin+20; 1264: } 1265: if ($ymax<=$ymin) { 1266: $ymax=$ymin+20; 1267: } 1268: return ($xmin,$xmax,$ymin,$ymax); 1269: } 1270: 1271: sub start_functionplotelements { 1272: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1273: my $result=''; 1274: my $id=$Apache::inputtags::response[-1]; 1275: my $partid=$Apache::inputtags::part; 1276: my $internalid = $partid.'_'.$id; 1277: 1278: if ($target eq 'edit') { 1279: return &Apache::edit::start_table($token). 1280: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 1281: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1282: .&Apache::edit::deletelist($target,$token).'   '. 1283: &Apache::edit::insertlist($target,$token).'   ' 1284: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') 1285: .'</span></td>' 1286: ."<td> " 1287: .&Apache::edit::end_row() 1288: .&Apache::edit::start_spanning_row() 1289: ."\n"; 1290: } elsif ($target eq 'web') { 1291: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 1292: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1293: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1294: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 1295: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 1296: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 1297: 1298: 1299: # paste in the update routine to receive stuff back from the applet 1300: $result.=&update_script($internalid); 1301: # start the initscript for this applet 1302: $result.=&start_init_script($internalid); 1303: # put the axis commands inside 1304: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 1305: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); 1306: # init script is left open 1307: } 1308: return $result; 1309: } 1310: 1311: 1; 1312: 1313: __END__ 1314: 1315: =head1 NAME 1316: 1317: Apache::functionplotresponse.pm; 1318: 1319: =head1 SYNOPSIS 1320: 1321: Handles tags associated with accepting function plots. 1322: 1323: This is part of the LearningOnline Network with CAPA project 1324: described at http://www.lon-capa.org. 1325: 1326: =head1 HANDLER SUBROUTINE 1327: 1328: start_functionplotresponse() 1329: 1330: =head1 OTHER SUBROUTINES 1331: 1332: =over 1333: 1334: =item end_functionplotresponse() 1335: 1336: =back 1337: 1338: =cut