loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
Revision 1.97: download - view: text, annotated - select for diffs
Thu Aug 16 23:03:01 2012 UTC (11 years, 9 months ago) by www
Branches: MAIN
CVS tags: HEAD

Further work on HTML5.

TODO: Need to replace "_" in applet-ID, as JavaScript implementation ignores it.

1: # LearningOnline Network with CAPA 2: # Functionplot responses 3: # 4: # $Id: functionplotresponse.pm,v 1.97 2012/08/16 23:03:01 www Exp $ 5: # 6: # Copyright Michigan State University Board of Trustees 7: # 8: # This file is part of the LearningOnline Network with CAPA (LON-CAPA). 9: # 10: # LON-CAPA is free software; you can redistribute it and/or modify 11: # it under the terms of the GNU General Public License as published by 12: # the Free Software Foundation; either version 2 of the License, or 13: # (at your option) any later version. 14: # 15: # LON-CAPA is distributed in the hope that it will be useful, 16: # but WITHOUT ANY WARRANTY; without even the implied warranty of 17: # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 18: # GNU General Public License for more details. 19: # 20: # You should have received a copy of the GNU General Public License 21: # along with LON-CAPA; if not, write to the Free Software 22: # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA 23: # 24: # /home/httpd/html/adm/gpl.txt 25: # 26: # http://www.lon-capa.org/ 27: # 28: 29: package Apache::functionplotresponse; 30: use strict; 31: use Apache::response(); 32: use Apache::lonlocal; 33: use Apache::lonnet; 34: use Apache::run; 35: use LONCAPA; 36: 37: BEGIN { 38: &Apache::lonxml::register('Apache::functionplotresponse',('functionplotresponse','backgroundplot','spline', 39: 'plotobject','plotvector', 40: 'functionplotvectorrule','functionplotvectorsumrule', 41: 'drawvectorsum', 42: 'functionplotcustomrule', 43: 'functionplotrule','functionplotruleset', 44: 'functionplotelements')); 45: } 46: 47: # 48: # Use old Java or HTML5/Javascript for GeoGebra? Depends on browser! 49: # Return a true value if HTML5 should be used. 50: 51: sub useHTML5 { 52: return 1; 53: } 54: 55: # Routines to start the applet (Java) or the HTML5/JavaScript 56: # 57: # There can be a number of applets on a page, each called ggbApplet_$id, 58: # where $id is the "_"-concatenated part and responseid 59: # 60: 61: sub geogebra_startcode { 62: my ($id,$width,$height)=@_; 63: if (&useHTML5()) { 64: return &html5_geogebra_startcode(@_); 65: } else { 66: return &java_geogebra_startcode(@_). 67: &java_geogebra_code_param(); 68: } 69: } 70: 71: sub geogebra_endcode { 72: if (&useHTML5()) { 73: return ''; 74: } else { 75: return &java_geogebra_endcode(); 76: } 77: } 78: 79: sub geogebra_default_parameters { 80: my ($id)=@_; 81: if (&useHTML5()) { 82: return ''; 83: } else { 84: return &java_geogebra_default_parameters($id); 85: } 86: } 87: # === Java code 88: 89: sub java_geogebra_startcode { 90: my ($id,$width,$height)=@_; 91: $width=int(1.*$width); 92: $height=int(1.*$height); 93: unless ($width) { $width=700; } 94: unless ($height) { $height=400; } 95: return (<<ENDSTARTCODE); 96: <applet name="ggbApplet_$id" code="geogebra.GeoGebraApplet" archive="geogebra.jar" 97: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT> 98: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/> 99: ENDSTARTCODE 100: } 101: 102: sub java_geogebra_endcode { 103: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n"; 104: } 105: 106: sub java_geogebra_code_param { 107: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />'; 108: } 109: 110: # === HTML5 code 111: 112: sub html5_geogebra_startcode { 113: my ($id,$width,$height)=@_; 114: $width=int(1.*$width); 115: $height=int(1.*$height); 116: unless ($width) { $width=700; } 117: unless ($height) { $height=400; } 118: my $code=&geogebra_internal_program(); 119: return (<<ENDSTARTCODE); 120: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false" 121: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet_$id" 122: data-param-ggbbase64="$code"></article> 123: ENDSTARTCODE 124: } 125: 126: # 127: # This is the internal GeoGebra bytecode which defines the spline functions 128: # 129: sub geogebra_internal_program { 130: return 131: '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'; 132: } 133: 134: # 135: # The standard set of parameters inside <applet> 136: # 137: sub java_geogebra_default_parameters { 138: my ($id)=@_; 139: return(<<ENDDEFAULTPARAMETERS); 140: <param name="image" value="/adm/lonIcons/lonanim.gif" /> 141: <param name="boxborder" value="false" /> 142: <param name="centerimage" value="true" /> 143: <param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_export.jar, geogebra_algos.jar, geogebra_javascript.jar, geogebra_properties.jar, jlatexmath.jar, jlm_cyrillic.jar, jlm_greek.jar" /> 144: <param name="cache_version" value="4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0,4.0.1.0" /> 145: <param name="framePossible" value="false" /> 146: 147: <param name="showResetIcon" value="false" /> 148: <param name="showAnimationButton" value="false" /> 149: <param name="enableRightClick" value="false" /> 150: <param name="errorDialogsActive" value="true" /> 151: <param name="enableLabelDrags" value="false" /> 152: <param name="showMenuBar" value="false" /> 153: <param name="showToolBar" value="false" /> 154: <param name="showToolBarHelp" value="false" /> 155: <param name="showAlgebraInput" value="false" /> 156: <param name="enableShiftDragZoom" value="false" /> 157: <param name="allowRescaling" value="false" /> 158: <param name="enableLabelDrags" value="false" /> 159: <param name="ggbOnInitParam" value="applet_$id" /> 160: ENDDEFAULTPARAMETERS 161: } 162: 163: # 164: # This subroutine is called by LON-CAPA at </problem> 165: # Each applet on the page will call function ggbOnInit when it is done loading 166: # This function in turn will call the respective function registered by start_init_script 167: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit 168: # 169: 170: sub init_script { 171: if ($#Apache::functionplotresponse::callscripts>=0) { 172: my $script=''; 173: foreach my $id (@Apache::functionplotresponse::callscripts) { 174: $script.="if (param=='applet_$id') { loaded_$id=true; }\n"; 175: } 176: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). 177: ") { setTimeout('ggbInitAll()',200) }"; 178: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 179: my $html5init=''; 180: if (&useHTML5()) { 181: $html5init= 182: '<script type="text/javascript" language="javascript" src="/adm/geogebra/html5/web/test42/web/web.nocache.js"></script>'; 183: } 184: return (<<ENDGGBINIT); 185: $html5init 186: <script type="text/javascript"> 187: // <![CDATA[ 188: // Function that each applet will call when loaded 189: // It will pass "its" parameter 190: // Set flags for when an applet is loaded, wait till all are loaded, and then some 191: function ggbOnInit(param) { 192: $script 193: } 194: function ggbInitAll() { 195: $calls 196: } 197: // ]]> 198: </script> 199: ENDGGBINIT 200: } 201: } 202: 203: # 204: # Each Geogebra applet is supposed to call this when parameters change 205: # Changes the hidden fields on the web page 206: # 207: sub update_script { 208: my ($id)=@_; 209: return (<<ENDUPDATESCRIPT); 210: <script type="text/javascript"> 211: // <![CDATA[ 212: function updatePointCoordinates_$id(coordinateName) { 213: var x = document.ggbApplet_$id.getXcoord(coordinateName); 214: var y = document.ggbApplet_$id.getYcoord(coordinateName); 215: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x; 216: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y; 217: } 218: // ]]> 219: </script> 220: ENDUPDATESCRIPT 221: } 222: 223: # 224: # Register the above update-handler for a variable 225: # 226: 227: sub update_register { 228: my ($id,$variable)=@_; 229: return "document.ggbApplet_$id.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; 230: } 231: 232: # 233: # Set a point coordinate variable 234: # 235: sub set_point_coordinate { 236: my ($id,$variable,$x,$y,$fixed)=@_; 237: my $mult=($fixed?'a*':''); 238: # Get rid of wild exponents, make sure it's a number 239: $x=1.*$x; 240: $y=1.*$y; 241: # GeoGebra does not understand "E" 242: $x=~s/[e|E]/\*10\^/; 243: $x=~s/\+//; 244: $y=~s/[e|E]/\*10\^/; 245: $y=~s/\+//; 246: return (<<ENDSETVARIABLE); 247: document.ggbApplet_$id.evalCommand("a=1"); 248: document.ggbApplet_$id.evalCommand("$variable=$mult($x,$y)"); 249: document.ggbApplet_$id.setLabelVisible("$variable",false); 250: ENDSETVARIABLE 251: } 252: 253: # 254: # Set a slope coordinate variable 255: # 256: sub set_slope_coordinate { 257: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_; 258: my $xvariable=$variable.'x'; 259: my $yvariable=$variable.'y'; 260: my $domain=$xmax-$xmin; 261: my $range=$ymax-$ymin; 262: my $xinterval=$domain/100.; 263: my $yinterval=$range/200.; 264: my $mult=($fixed?'a*':''); 265: return (<<ENDSETSVARIABLE); 266: document.ggbApplet_$id.evalCommand("a=1"); 267: document.ggbApplet_$id.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]"); 268: document.ggbApplet_$id.setVisible("$xvariable", false); 269: document.ggbApplet_$id.evalCommand("$xvariable=$xrel"); 270: document.ggbApplet_$id.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]"); 271: document.ggbApplet_$id.setVisible("$yvariable", false); 272: document.ggbApplet_$id.evalCommand("$yvariable=$yrel"); 273: document.ggbApplet_$id.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))"); 274: document.ggbApplet_$id.setLabelVisible("$variable", false); 275: ENDSETSVARIABLE 276: } 277: 278: # 279: # Input field name for a coordinate variable 280: # 281: 282: sub field_name { 283: my ($id,$variable,$name)=@_; 284: return "HWVAL_$id\_$variable\_$name"; 285: } 286: 287: # 288: # Generate an input field for a coordinate variable 289: # 290: 291: sub generate_input_field { 292: my ($id,$variable,$x,$y)=@_; 293: $Apache::functionplotresponse::inputfields.= 294: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 295: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 296: } 297: 298: # 299: # Initialize a new point coordinate variable at set a listener on it 300: # 301: sub new_point_coordinate { 302: my ($id,$variable,$x,$y,$fixed)=@_; 303: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 304: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 305: } 306: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 307: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 308: } 309: &generate_input_field($id,$variable,$x,$y); 310: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable); 311: } 312: 313: # 314: # Initialize a new slope coordinate variable at set a listener on it 315: # 316: sub new_slope_coordinate { 317: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 318: # 319: # $variable: name of the slope point 320: # $x, $y: coordinates of the slope point 321: # $pointname: name of the associated point point 322: # $xp $yp: coordinates of the point point 323: # 324: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 325: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 326: } 327: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 328: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 329: } 330: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) { 331: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')}; 332: } 333: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) { 334: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')}; 335: } 336: 337: &generate_input_field($id,$variable,$x,$y); 338: my $xrel=$x-$xp; 339: my $yrel=$y-$yp; 340: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable); 341: } 342: 343: # 344: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 345: # It then starts the right headers 346: # 347: sub start_init_script { 348: my ($id)=@_; 349: # Add id to the list of ggbInit_$id functions that need to be called 350: push(@Apache::functionplotresponse::callscripts,$id); 351: # ... and open this function 352: return (<<ENDSTARTINIT); 353: <script type="text/javascript"> 354: // <![CDATA[ 355: // variable that will eventually be passed back to the server 356: var coordinateMap_$id = []; 357: // flag for not loaded yet 358: var loaded_$id=false; 359: // Init-function for applet 360: function ggbInit_$id() { 361: ENDSTARTINIT 362: } 363: 364: # 365: # This sets the axes inside ggbInit_$id 366: # 367: 368: sub axes_script { 369: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 370: return (<<ENDAXESSCRIPT); 371: // changes (xmin, xmax, ymin, ymax) 372: document.ggbApplet_$id.setCoordSystem($xmin,$xmax,$ymin,$ymax); 373: 374: // makes the (x,y) axis (in)visible 375: document.ggbApplet_$id.setAxesVisible($xvisible,$yvisible); 376: // makes the grid (in)visible 377: document.ggbApplet_$id.setGridVisible($gvisible); 378: ENDAXESSCRIPT 379: } 380: 381: sub axes_label { 382: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_; 383: unless ($xlabel || $ylabel) { return ''; } 384: my $return='document.ggbApplet_'.$id.'.evalCommand("topRight=Corner[3]");'; 385: if ($xlabel) { 386: if (($ymin<0) && ($ymax>0)) { 387: $return.=(<<ENDXAXISLABELSCRIPT); 388: document.ggbApplet_$id.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 389: document.ggbApplet_$id.setVisible("Xlabel",false); 390: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 391: ENDXAXISLABELSCRIPT 392: } else { 393: $return.=(<<ENDXOFFAXISLABEL); 394: document.ggbApplet_$id.evalCommand("LowerRight=Corner[2]"); 395: document.ggbApplet_$id.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]"); 396: ENDXOFFAXISLABEL 397: } 398: } 399: if ($ylabel) { 400: if (($xmin<0) && ($xmax>0)) { 401: $return.=(<<ENDYAXISLABELSCRIPT); 402: document.ggbApplet_$id.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 403: document.ggbApplet_$id.setVisible("Ylabel",false); 404: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 405: ENDYAXISLABELSCRIPT 406: } else { 407: $return.=(<<ENDYOFFAXISLABEL); 408: document.ggbApplet_$id.evalCommand("UpperLeft=Corner[4]"); 409: document.ggbApplet_$id.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]"); 410: ENDYOFFAXISLABEL 411: } 412: } 413: return $return; 414: } 415: 416: # 417: # Subroutine to produce background and answer plots 418: # 419: 420: sub plot_script { 421: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_; 422: $label=~s/\W//g; 423: if (($label) && ($label!~/^[A-Za-z]/)) { 424: $label='C'.$label; 425: } 426: my $visible=0; 427: if ($label) { 428: $visible="1"; 429: } else { 430: $Apache::functionplotresponse::counter++; 431: $label='C'.$Apache::functionplotresponse::counter; 432: } 433: my $rc=0; 434: my $gc=0; 435: my $bc=0; 436: if ($color) { 437: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/); 438: $rc=hex($rh); 439: $gc=hex($gh); 440: $bc=hex($bh); 441: } 442: if ($fixed) { 443: return "document.ggbApplet_$id.evalCommand('$label=Function[$function,$xmin,$xmax]');\n". 444: ($visible?'':"document.ggbApplet_$id.setLabelVisible('$label', false);\n"). 445: ($color?"document.ggbApplet_$id.setColor('$label',$rc,$gc,$bc);\n":''). 446: ($thickness?"document.ggbApplet_$id.setLineThickness('$label',$thickness);\n":''); 447: } else { 448: return "document.ggbApplet_$id.evalCommand('y=$function');\n"; 449: } 450: } 451: 452: # 453: # Subroutine to produce objects 454: # 455: 456: sub plotobject_script { 457: my ($id,$label,$x,$y)=@_; 458: unless ($label) { 459: $Apache::functionplotresponse::counter++; 460: $label='O'.$Apache::functionplotresponse::counter; 461: } 462: &generate_input_field($id,$label,$x,$y); 463: return "document.ggbApplet_$id.evalCommand('a=1');\n". 464: "document.ggbApplet_$id.setVisible('a', false);\n". 465: "document.ggbApplet_$id.setLabelVisible('a', false);\n". 466: "document.ggbApplet_$id.evalCommand('$label=a*($x,$y)');\n". 467: "document.ggbApplet_$id.setVisible('$label', true);\n". 468: "document.ggbApplet_$id.setLabelVisible('$label', true);\n"; 469: } 470: 471: # 472: # Subroutine to produce vectors 473: # 474: 475: sub plotvector_script { 476: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_; 477: unless ($label) { 478: $Apache::functionplotresponse::counter++; 479: $label='V'.$Apache::functionplotresponse::counter; 480: } 481: my $startlabel=$label.'Start'; 482: my $endlabel=$label.'End'; 483: my $pointlabel=$label.'Point'; 484: my $pointx=2.*($xmax-$xmin)+$xmax; 485: my $anglelabel=$label.'Angle'; 486: return 487: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed). 488: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed). 489: (<<ENDVECTOR); 490: document.ggbApplet_$id.evalCommand("$label=Vector[$startlabel,$endlabel]"); 491: document.ggbApplet_$id.setLabelVisible("$label",true); 492: document.ggbApplet_$id.setLineThickness("$label",8); 493: document.ggbApplet_$id.evalCommand("$pointlabel=($pointx,y($startlabel))"); 494: document.ggbApplet_$id.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]"); 495: document.ggbApplet_$id.setLabelVisible("$anglelabel",true); 496: document.ggbApplet_$id.setLabelStyle("$anglelabel",VALUE=2); 497: ENDVECTOR 498: } 499: 500: # 501: # Answer spline display 502: # 503: # points: x,y,slope_x,slope_y 504: 505: sub answer_spline_script { 506: my ($id,@points)=@_; 507: my $order=int(($#points+1)/4); 508: if ($order<2) { $order=2; } 509: if ($order>8) { $order=8; } 510: $Apache::functionplotresponse::counter++; 511: my $label='CSpline'.$Apache::functionplotresponse::counter; 512: my $output='document.ggbApplet_'.$id.'.evalCommand("'.$label.'=Spline'.$order.'['; 513: for (my $i=0;$i<=$#points;$i+=4) { 514: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),"; 515: } 516: $output=~s/\,$//; 517: $output.=']");'."\n"; 518: for (my $i=2; $i<2*$order; $i+=2) { 519: $output.='document.ggbApplet_'.$id.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n"; 520: } 521: for (my $i=1; $i<2*$order; $i+=2) { 522: $output.='document.ggbApplet_'.$id.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n"; 523: } 524: 525: return $output; 526: } 527: 528: # 529: # Subroutine that generates code for spline $label based on stored information 530: # 531: 532: sub generate_spline { 533: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 534: my $result=''; 535: my $order=$Apache::functionplotresponse::splineorder{$label}; 536: my $x=$Apache::functionplotresponse::splineinitx{$label}; 537: my $y=$Apache::functionplotresponse::splineinity{$label}; 538: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 539: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 540: my @coords=(); 541: foreach my $i (1..$order) { 542: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); 543: my $xp=$x; 544: $x+=$sx/(2.*($order-1)); 545: push(@coords,$label.'P'.$i); 546: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); 547: $x+=$sx/(2.*($order-1)); 548: push(@coords,$label.'S'.$i); 549: } 550: $result.='document.ggbApplet_'.$id.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 551: return $result; 552: } 553: 554: # 555: # Object 556: # 557: 558: sub start_plotobject { 559: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 560: my $result=''; 561: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 562: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval); 563: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval); 564: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 565: $label=~s/\W//gs; 566: $label=ucfirst($label); 567: unless ($label) { $label="NewObject"; } 568: if ($target eq 'web') { 569: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 570: unless (defined($x)) { $x=$xmin; } 571: unless (defined($y)) { $y=$ymin; } 572: $result.=&plotobject_script($internalid,$label,$x,$y); 573: } elsif ($target eq 'edit') { 574: $result=&Apache::edit::tag_start($target,$token,'Plot Object'). 575: &Apache::edit::text_arg('Label on Plot:','label', 576: $token,'16'). 577: &Apache::edit::text_arg('x:','x', 578: $token,'8'). 579: &Apache::edit::text_arg('y:','y', 580: $token,'8'). 581: &Apache::edit::end_row(); 582: } elsif ($target eq 'modified') { 583: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 584: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y'); 585: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 586: } 587: return $result; 588: } 589: 590: sub end_plotobject { 591: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 592: my $result=''; 593: if ($target eq 'edit') { 594: $result=&Apache::edit::end_table(); 595: } 596: return $result; 597: } 598: 599: # 600: # Vector 601: # 602: 603: sub start_plotvector { 604: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 605: my $result=''; 606: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 607: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 608: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 609: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval); 610: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval); 611: 612: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 613: $label=~s/\W//gs; 614: $label=ucfirst($label); 615: unless ($label) { $label="NewVector"; } 616: if ($Apache::functionplotresponse::vectorlabels{$label}) { 617: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label)); 618: } 619: $Apache::functionplotresponse::vectorlabels{$label}=1; 620: if ($target eq 'web') { 621: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 622: unless (defined($tailx)) { $tailx=$xmin; } 623: unless (defined($taily)) { $taily=$ymin; } 624: unless (defined($tipx)) { $tipx=$xmin; } 625: unless (defined($tipy)) { $tipy=$ymin; } 626: my $fixed=0; 627: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; } 628: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed); 629: } elsif ($target eq 'edit') { 630: $result=&Apache::edit::tag_start($target,$token,'Plot Vector'). 631: &Apache::edit::text_arg('Label on Plot:','label', 632: $token,'16'). 633: &Apache::edit::text_arg('Tail x:','tailx', 634: $token,'8'). 635: &Apache::edit::text_arg('Tail y:','taily', 636: $token,'8'). 637: &Apache::edit::text_arg('Tip x:','tipx', 638: $token,'8'). 639: &Apache::edit::text_arg('Tip y:','tipy', 640: $token,'8'). 641: 642: &Apache::edit::end_row(); 643: } elsif ($target eq 'modified') { 644: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 645: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy'); 646: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 647: } 648: return $result; 649: } 650: 651: sub end_plotvector { 652: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 653: my $result=''; 654: if ($target eq 'edit') { 655: $result=&Apache::edit::end_table(); 656: } 657: return $result; 658: } 659: 660: 661: # 662: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw 663: # 664: 665: sub start_drawvectorsum { 666: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 667: my $result=''; 668: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 669: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 670: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 671: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval); 672: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval); 673: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 674: $label=~s/\W//gs; 675: $label=ucfirst($label); 676: unless ($label) { $label="NewVector"; } 677: if ($target eq 'web') { 678: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 679: unless (defined($tailx)) { $tailx=$xmin; } 680: unless (defined($taily)) { $taily=$ymin; } 681: unless (defined($vectorlist)) { $vectorlist=''; } 682: my @vectors=split(/\,/,$vectorlist); 683: if ($#vectors>0) { 684: my @sumx=(); 685: my @sumy=(); 686: foreach my $thisvector (@vectors) { 687: $thisvector=~s/\W//gs; 688: $thisvector=ucfirst($thisvector); 689: unless ($thisvector) { next; } 690: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) { 691: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector)); 692: next; 693: } 694: my $vectorx=$thisvector.'X'; 695: my $vectory=$thisvector.'Y'; 696: $result.=(<<ENDADDVEC); 697: document.ggbApplet_$internalid.evalCommand("$vectorx=x($thisvector)"); 698: document.ggbApplet_$internalid.evalCommand("$vectory=y($thisvector)"); 699: document.ggbApplet_$internalid.evalCommand("Include$thisvector$label=Checkbox[]"); 700: ENDADDVEC 701: push(@sumx,"If[Include$thisvector$label,$vectorx,0]"); 702: push(@sumy,"If[Include$thisvector$label,$vectory,0]"); 703: } 704: $result.="document.ggbApplet_$internalid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n"; 705: $result.="document.ggbApplet_$internalid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n"; 706: my $show=0; 707: if ($showvalue=~/yes/i) { 708: $show=1; 709: } 710: $result.=(<<ENDMAKEVECTOR); 711: document.ggbApplet_$internalid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]"); 712: document.ggbApplet_$internalid.setLabelVisible("$label",true); 713: document.ggbApplet_$internalid.setLineThickness("$label",8); 714: document.ggbApplet_$internalid.setColor("$label",255,0,0); 715: document.ggbApplet_$internalid.setLabelStyle("$label",VALUE=$show); 716: ENDMAKEVECTOR 717: } 718: } elsif ($target eq 'edit') { 719: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum'). 720: &Apache::edit::text_arg('Label on Plot:','label', 721: $token,'16'). 722: &Apache::edit::text_arg('Tail x:','tailx', 723: $token,'8'). 724: &Apache::edit::text_arg('Tail y:','taily', 725: $token,'8'). 726: &Apache::edit::select_arg('Show Value:','showvalue', 727: ['yes','no'],$token).'<br />'. 728: &Apache::edit::text_arg('Vector List:','vectorlist', 729: $token,'40'). 730: &Apache::edit::end_row(); 731: } elsif ($target eq 'modified') { 732: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 733: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist'); 734: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 735: } 736: return $result; 737: } 738: 739: 740: sub end_drawvectorsum { 741: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 742: my $result=''; 743: if ($target eq 'edit') { 744: $result=&Apache::edit::end_table(); 745: } 746: return $result; 747: } 748: 749: 750: 751: # 752: # <backgroundplot function="..." fixed="yes/no" /> 753: # 754: sub start_backgroundplot { 755: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 756: my $result=''; 757: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 758: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 759: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); 760: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); 761: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 762: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); 763: $color=~s/[^a-fA-F0-9]//gs; 764: unless (length($color)==6) { $color=''; } 765: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 766: 767: unless ($function) { $function="0"; } 768: if ($target eq 'web') { 769: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 770: unless (defined($xinitial)) { $xinitial=$xmin; } 771: unless (defined($xfinal)) { $xfinal=$xmax; } 772: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); 773: } elsif ($target eq 'edit') { 774: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 775: &Apache::edit::text_arg('Function:','function', 776: $token,'16'). 777: &Apache::edit::text_arg('Initial x-value (optional):','xinitial', 778: $token,'8'). 779: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 780: $token,'8'). 781: &Apache::edit::text_arg('Label on Plot:','label', 782: $token,'8'). 783: &Apache::edit::text_arg('Color (hex code):','color', 784: $token,'8'). 785: &Apache::edit::select_arg('Fixed location:','fixed', 786: ['yes','no'],$token). 787: &Apache::edit::end_row(); 788: } elsif ($target eq 'modified') { 789: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 790: $safeeval,'function','label','xinitial','xfinal','color','fixed'); 791: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 792: } 793: return $result; 794: } 795: 796: sub end_backgroundplot { 797: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 798: my $result=''; 799: if ($target eq 'edit') { 800: $result=&Apache::edit::end_table(); 801: } 802: return $result; 803: } 804: 805: # 806: # <functionplotrule ... /> 807: # 808: sub start_functionplotrule { 809: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 810: my $result=''; 811: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 812: $Apache::functionplotresponse::counter++; 813: if ($label=~/\W/) { 814: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 815: } 816: $label=~s/\W//gs; 817: unless ($label) { 818: $label='R'.$Apache::functionplotresponse::counter; 819: } else { 820: $label='R'.$label; 821: } 822: 823: if ($target eq 'grade') { 824: # Simply remember - in order - for later 825: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); 826: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); 827: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { 828: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); 829: } 830: $beginninglabel=~s/\W//gs; 831: $endinglabel=~s/\W//gs; 832: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); 833: $relationship=~s/\W//gs; 834: $relationship=lc($relationship); 835: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { 836: &Apache::lonxml::warning(&mt('Rule relationship not defined.')); 837: $relationship='eq'; 838: } 839: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); 840: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { 841: &Apache::lonxml::warning(&mt('Rule derivative not defined.')); 842: $derivative=0; 843: } 844: push(@Apache::functionplotresponse::functionplotrules,join(':',( 845: $label, 846: $derivative, 847: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), 848: $beginninglabel, 849: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), 850: $endinglabel, 851: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), 852: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), 853: $relationship, 854: &Apache::lonxml::get_param('value',$parstack,$safeeval), 855: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) 856: ))); 857: } elsif ($target eq 'edit') { 858: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule'). 859: &Apache::edit::text_arg('Index/Name:','index', 860: $token,'10').' '. 861: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder', 862: [['0','Function itself'], 863: ['1','First derivative'], 864: ['2','Second derivative'], 865: ['-1','Integral']],$token).'<br />'. 866: &Apache::edit::text_arg('Initial x-value:','xinitial', 867: $token,'8'). 868: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', 869: [['start','Start of Plot'], 870: ['end','End of Plot']],$token,'8').'<br />'. 871: 872: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 873: $token,'8'). 874: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', 875: [['end','End of Plot']],$token,'8').'<br />'. 876: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', 877: $token,'8'). 878: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', 879: $token,'8').'<br />'. 880: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', 881: [['eq','equal'], 882: ['ne','not equal'], 883: ['ge','greater than or equal'], 884: ['gt','greater than'], 885: ['lt','less than'], 886: ['le','less than or equal']],$token). 887: $result.= &Apache::edit::select_or_text_arg('Value:','value', 888: [['undef','not defined']],$token,'30'). 889: &Apache::edit::text_arg('Percent error:','percenterror', 890: $token,'8'). 891: &Apache::edit::end_row(); 892: } elsif ($target eq 'modified') { 893: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { 894: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; 895: } 896: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { 897: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; 898: } 899: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 900: $safeeval,'index','derivativeorder', 901: 'xinitial','xinitiallabel','xfinal','xfinallabel', 902: 'minimumlength','maximumlength', 903: 'relationship','value','percenterror'); 904: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 905: } 906: return $result; 907: } 908: 909: sub end_functionplotrule { 910: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 911: my $result=''; 912: if ($target eq 'edit') { 913: $result=&Apache::edit::end_table(); 914: } 915: return $result; 916: } 917: 918: 919: # 920: # <functionplotvectorrule ... /> 921: # 922: sub start_functionplotvectorrule { 923: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 924: my $result=''; 925: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 926: $Apache::functionplotresponse::counter++; 927: if ($label=~/\W/) { 928: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 929: } 930: $label=~s/\W//gs; 931: unless ($label) { 932: $label='R'.$Apache::functionplotresponse::counter; 933: } else { 934: $label='R'.$label; 935: } 936: 937: if ($target eq 'grade') { 938: # Simply remember - in order - for later 939: 940: my $id=$Apache::inputtags::response[-1]; 941: my $partid=$Apache::inputtags::part; 942: my $internalid = $partid.'_'.$id; 943: 944: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval); 945: $vector=~s/\W//gs; 946: $vector=ucfirst($vector); 947: 948: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 949: $label, 950: 'vector', 951: $internalid, 952: $vector, 953: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval), 954: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval), 955: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval), 956: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval), 957: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval), 958: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval), 959: &Apache::lonxml::get_param('length',$parstack,$safeeval), 960: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 961: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 962: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 963: ))); 964: } elsif ($target eq 'edit') { 965: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule'). 966: &Apache::edit::text_arg('Index/Name:','index', 967: $token,'10').' '. 968: &Apache::edit::text_arg('Vector:','vector', 969: $token,'16').'<br />'. 970: &Apache::edit::text_arg('Attached to object:','attachpoint', 971: $token,'16'). 972: &Apache::edit::text_arg('Not attached to object:','notattachpoint', 973: $token,'16').'<br />'. 974: &Apache::edit::text_arg('Tail attached to object:','tailpoint', 975: $token,'16'). 976: &Apache::edit::text_arg('Tip attached to object:','tippoint', 977: $token,'16'). 978: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint', 979: $token,'16'). 980: &Apache::edit::text_arg('Tip not attached to object:','nottippoint', 981: $token,'16').'<br />'. 982: &Apache::edit::text_arg('Length:','length', 983: $token,'30'). 984: &Apache::edit::text_arg('Absolute error length:','lengtherror', 985: $token,'8').'<br />'. 986: &Apache::edit::text_arg('Angle:','angle', 987: $token,'30'). 988: &Apache::edit::text_arg('Absolute error angle:','angleerror', 989: $token,'8'). 990: &Apache::edit::end_row(); 991: } elsif ($target eq 'modified') { 992: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')}); 993: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 994: $safeeval,'index','vector','attachpoint','notattachpoint', 995: 'tailpoint','tippoint','nottailpoint','nottipoint', 996: 'length','angle', 997: 'lengtherror','angleerror'); 998: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 999: } 1000: return $result; 1001: } 1002: 1003: sub end_functionplotvectorrule { 1004: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1005: my $result=''; 1006: if ($target eq 'edit') { 1007: $result=&Apache::edit::end_table(); 1008: } 1009: return $result; 1010: } 1011: 1012: # 1013: # <functionplotvectorsumrule ... /> 1014: # 1015: sub start_functionplotvectorsumrule { 1016: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1017: my $result=''; 1018: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1019: $Apache::functionplotresponse::counter++; 1020: if ($label=~/\W/) { 1021: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1022: } 1023: $label=~s/\W//gs; 1024: unless ($label) { 1025: $label='R'.$Apache::functionplotresponse::counter; 1026: } else { 1027: $label='R'.$label; 1028: } 1029: if ($target eq 'grade') { 1030: # Simply remember - in order - for later 1031: my $id=$Apache::inputtags::response[-1]; 1032: my $partid=$Apache::inputtags::part; 1033: my $internalid = $partid.'_'.$id; 1034: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval); 1035: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1036: $label, 1037: 'sum', 1038: $internalid, 1039: $vectors, 1040: &Apache::lonxml::get_param('length',$parstack,$safeeval), 1041: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 1042: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 1043: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 1044: ))); 1045: } elsif ($target eq 'edit') { 1046: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule'). 1047: &Apache::edit::text_arg('Index/Name:','index', 1048: $token,'10').' '. 1049: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors', 1050: $token,'30').'<br />'. 1051: &Apache::edit::text_arg('Sum vector length:','length', 1052: $token,'30'). 1053: &Apache::edit::text_arg('Absolute error length:','lengtherror', 1054: $token,'8').'<br />'. 1055: &Apache::edit::text_arg('Sum vector angle:','angle', 1056: $token,'30'). 1057: &Apache::edit::text_arg('Absolute error angle:','angleerror', 1058: $token,'8'). 1059: &Apache::edit::end_row(); 1060: } elsif ($target eq 'modified') { 1061: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1062: $safeeval,'index','vectors', 1063: 'length','angle', 1064: 'lengtherror','angleerror'); 1065: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1066: } 1067: return $result; 1068: } 1069: 1070: sub end_functionplotvectorsumrule { 1071: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1072: my $result=''; 1073: if ($target eq 'edit') { 1074: $result=&Apache::edit::end_table(); 1075: } 1076: return $result; 1077: } 1078: 1079: # 1080: # <functionplotcustom ... /> 1081: # 1082: sub start_functionplotcustomrule { 1083: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1084: my $result=''; 1085: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1086: $Apache::functionplotresponse::counter++; 1087: if ($label=~/\W/) { 1088: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1089: } 1090: $label=~s/\W//gs; 1091: unless ($label) { 1092: $label='R'.$Apache::functionplotresponse::counter; 1093: } else { 1094: $label='R'.$label; 1095: } 1096: &Apache::lonxml::register('Apache::response',('answer')); 1097: if ($target eq 'edit') { 1098: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule'). 1099: &Apache::edit::text_arg('Index/Name:','index',$token,'10'). 1100: &Apache::edit::end_row(); 1101: } elsif ($target eq 'modified') { 1102: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index'); 1103: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1104: } 1105: return $result; 1106: } 1107: 1108: sub end_functionplotcustomrule { 1109: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1110: my $result=''; 1111: if ($target eq 'edit') { 1112: $result=&Apache::edit::end_table(); 1113: } elsif ($target eq 'grade') { 1114: # Simply remember - in order - for later 1115: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1116: $Apache::functionplotresponse::counter++; 1117: if ($label=~/\W/) { 1118: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1119: } 1120: $label=~s/\W//gs; 1121: unless ($label) { 1122: $label='R'.$Apache::functionplotresponse::counter; 1123: } else { 1124: $label='R'.$label; 1125: } 1126: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1127: $label, 1128: 'custom', 1129: &escape($Apache::response::custom_answer[-1]) 1130: ))); 1131: } 1132: &Apache::lonxml::deregister('Apache::response',('answer')); 1133: return $result; 1134: } 1135: 1136: 1137: 1138: # 1139: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 1140: # 1141: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 1142: # 1143: sub start_spline { 1144: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1145: my $result=''; 1146: if ($target eq 'web') { 1147: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1148: $Apache::functionplotresponse::counter++; 1149: if ($label=~/\W/) { 1150: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 1151: } 1152: $label=~s/\W//gs; 1153: unless ($label) { 1154: $label='S'.$Apache::functionplotresponse::counter; 1155: } else { 1156: $label='S'.$label; 1157: } 1158: if ($Apache::functionplotresponse::splineorder{$label}) { 1159: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 1160: } 1161: 1162: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 1163: if ($order<2) { $order=2; } 1164: if ($order>8) { $order=8; } 1165: $Apache::functionplotresponse::splineorder{$label}=$order; 1166: 1167: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 1168: unless ($x) { $x=0; } 1169: $Apache::functionplotresponse::splineinitx{$label}=$x; 1170: 1171: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 1172: unless ($y) { $y=0; } 1173: $Apache::functionplotresponse::splineinity{$label}=$y; 1174: 1175: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 1176: unless ($sx) { $sx=$order; } 1177: $Apache::functionplotresponse::splinescalex{$label}=$sx; 1178: 1179: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 1180: unless ($sy) { $sy=2; } 1181: $Apache::functionplotresponse::splinescaley{$label}=$sy; 1182: } elsif ($target eq 'edit') { 1183: $result=&Apache::edit::tag_start($target,$token,'Spline'). 1184: &Apache::edit::text_arg('Index:','index', 1185: $token,'4').' '. 1186: &Apache::edit::select_arg('Order:','order', 1187: ['2','3','4','5','6','7','8'],$token).' '. 1188: &Apache::edit::text_arg('Initial x-value:','initx', 1189: $token,'4').' '. 1190: &Apache::edit::text_arg('Initial y-value:','inity', 1191: $token,'4').' '. 1192: &Apache::edit::text_arg('Scale x:','scalex', 1193: $token,'4').' '. 1194: &Apache::edit::text_arg('Scale y:','scaley', 1195: $token,'4'). 1196: &Apache::edit::end_row(); 1197: } elsif ($target eq 'modified') { 1198: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1199: $safeeval,'index','order','initx','inity', 1200: 'scalex','scaley'); 1201: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1202: } 1203: return $result; 1204: } 1205: 1206: sub end_spline { 1207: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1208: my $result=''; 1209: if ($target eq 'edit') { 1210: $result=&Apache::edit::end_table(); 1211: } 1212: return $result; 1213: } 1214: 1215: sub end_init_script { 1216: return (<<ENDENDINIT); 1217: } 1218: // ]]> 1219: </script> 1220: ENDENDINIT 1221: } 1222: 1223: # 1224: # Storing and restoring spline coordinates from part answers 1225: # 1226: sub decode_previous_answer { 1227: my ($answer)=@_; 1228: foreach my $coordinate (split(/\,/,$answer)) { 1229: my ($key,$value)=split(/\=/,$coordinate); 1230: $Apache::functionplotresponse::previous{$key}=$value; 1231: } 1232: } 1233: 1234: sub get_answer_from_form_fields { 1235: my ($id)=@_; 1236: my $answer=''; 1237: my %coords=(); 1238: foreach my $field (keys(%env)) { 1239: if ($field=~/^form\.HWVAL\_$id/) { 1240: $field=~/^form\.(.*)$/; 1241: $coords{$1}=$env{$field}; 1242: } 1243: } 1244: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 1245: return ($answer,%coords); 1246: } 1247: 1248: # 1249: # The following functions calculate the cubic-hermite splines server-side 1250: # 1251: 1252: sub cubic_hermite { 1253: my ($t,$p1,$s1,$p2,$s2)=@_; 1254: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 1255: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 1256: } 1257: 1258: # 1259: # d/dt(...) 1260: # 1261: 1262: sub ddt_cubic_hermite { 1263: my ($t,$p1,$s1,$p2,$s2)=@_; 1264: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 1265: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 1266: } 1267: 1268: # 1269: # d^2/dt^2(...) 1270: # 1271: 1272: sub d2dt2_cubic_hermite { 1273: my ($t,$p1,$s1,$p2,$s2)=@_; 1274: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 1275: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 1276: } 1277: 1278: # 1279: # Array index calculation 1280: # 1281: sub array_index { 1282: my ($xmin,$xmax,$x)=@_; 1283: if ($x ne '') { 1284: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 1285: } else { 1286: return undef; 1287: } 1288: } 1289: 1290: # 1291: # Populate the arrays 1292: # 1293: 1294: sub populate_arrays { 1295: my ($id,$xmin,$xmax,$ymin,$ymax)=@_; 1296: for (my $i=0; $i<=400; $i++) { 1297: $Apache::functionplotresponse::actualxval[$i]=undef; 1298: $Apache::functionplotresponse::func[$i]=undef; 1299: $Apache::functionplotresponse::dfuncdx[$i]=undef; 1300: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 1301: } 1302: unless ($xmax>$xmin) { return 'no_func'; } 1303: # Run over all splines in response 1304: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 1305: my $xiold=-1; 1306: # Run over all points in spline 1307: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 1308: my $ni=$i+1; 1309: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 1310: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 1311: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 1312: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 1313: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 1314: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 1315: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 1316: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 1317: # Run in small steps over spline parameter 1318: for (my $t=0; $t<=1; $t+=0.0001) { 1319: my $xreal=&cubic_hermite($t,@xparms); 1320: my $xi=&array_index($xmin,$xmax,$xreal); 1321: if ($xi<$xiold) { return 'no_func'; } 1322: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 1323: $xiold=$xi; 1324: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 1325: # Function value 1326: my $funcval=&cubic_hermite($t,@yparms); 1327: 1328: # Do we already have a value for this point, and is it different from the new one? 1329: if ((defined($Apache::functionplotresponse::func[$xi])) && 1330: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 1331: return 'no_func'; 1332: } 1333: # Okay, remember the new point 1334: $Apache::functionplotresponse::func[$xi]=$funcval; 1335: 1336: if (defined($funcval)) { 1337: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 1338: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 1339: } 1340: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 1341: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 1342: } 1343: } 1344: # Chain rule 1345: # dy/dx=dy/dt/(dx/dt) 1346: my $dxdt=&ddt_cubic_hermite($t,@xparms); 1347: if ($dxdt) { 1348: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 1349: # Second derivative 1350: $Apache::functionplotresponse::d2funcdx2[$xi]= 1351: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 1352: ($dxdt*$dxdt*$dxdt); 1353: } 1354: } 1355: } 1356: } 1357: } 1358: } 1359: 1360: # 1361: # Implementation of <functionplotresponse> 1362: # 1363: 1364: sub start_functionplotresponse { 1365: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1366: my $result=''; 1367: # To remember the splines - somehow, they need to come last 1368: undef %Apache::functionplotresponse::splineorder; 1369: undef %Apache::functionplotresponse::splineinitx; 1370: undef %Apache::functionplotresponse::splineinity; 1371: undef %Apache::functionplotresponse::splinescalex; 1372: undef %Apache::functionplotresponse::splinescaley; 1373: # Remember input fields, etc 1374: undef %Apache::functionplotresponse::previous; 1375: $Apache::functionplotresponse::inputfields=''; 1376: $Apache::functionplotresponse::counter=0; 1377: # Remember vectors 1378: undef %Apache::functionplotresponse::vectorlabels; 1379: # Remember rules 1380: undef @Apache::functionplotresponse::functionplotrules; 1381: undef @Apache::functionplotresponse::functionplotvectorrules; 1382: # Remember failed rules 1383: if ($target eq 'grade') { 1384: undef @Apache::functionplotresponse::failedrules; 1385: } 1386: # Delete previous awards 1387: undef $Apache::functionplotresponse::awarddetail; 1388: # Part and ID 1389: my $partid=$Apache::inputtags::part; 1390: my $id=&Apache::response::start_response($parstack,$safeeval); 1391: # Internal ID to mark the applet and its coordinates 1392: my $internalid = $partid.'_'.$id; 1393: # Previous answer 1394: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 1395: 1396: # Parameters of <functionplotresponse> 1397: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 1398: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1399: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1400: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1401: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 1402: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 1403: if ($target eq 'edit') { 1404: $result.=&Apache::edit::start_table($token) 1405: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 1406: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1407: .&Apache::edit::deletelist($target,$token).'   ' 1408: .&Apache::edit::insertlist($target,$token).'   ' 1409: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') 1410: .'</span></td>' 1411: ."<td> " 1412: .&Apache::edit::end_row() 1413: .&Apache::edit::start_spanning_row() 1414: ."\n"; 1415: $result.=&Apache::edit::text_arg('Width (pixels):','width', 1416: $token,'6').' '. 1417: &Apache::edit::text_arg('Height (pixels):','height', 1418: $token,'6').'<br />'. 1419: &Apache::edit::text_arg('Label x-axis:','xlabel', 1420: $token,'6').' '. 1421: &Apache::edit::text_arg('Minimum x-value:','xmin', 1422: $token,'4').' '. 1423: &Apache::edit::text_arg('Maximum x-value:','xmax', 1424: $token,'4').' '. 1425: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 1426: ['yes','no'],$token).'<br />'. 1427: &Apache::edit::text_arg('Label y-axis:','ylabel', 1428: $token,'6').' '. 1429: &Apache::edit::text_arg('Minimum y-value:','ymin', 1430: $token,'4').' '. 1431: &Apache::edit::text_arg('Maximum y-value:','ymax', 1432: $token,'4').' '. 1433: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 1434: ['yes','no'],$token).'<br />'. 1435: &Apache::edit::select_arg('Grid visible:','gridvisible', 1436: ['yes','no'],$token).'<br />'. 1437: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', 1438: 'answerdisplay',$token,'50'). 1439: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 1440: } elsif ($target eq 'modified') { 1441: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1442: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax', 1443: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); 1444: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 1445: 1446: } elsif ($target eq 'meta') { 1447: $result=&Apache::response::meta_package_write('functionplotresponse'); 1448: } elsif (($target eq 'answer') && 1449: ($env{'form.answer_output_mode'} ne 'tex') && 1450: ($Apache::lonhomework::viewgrades == 'F')) { 1451: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 1452: $uname =~s/\W//g; 1453: $udom =~s/\W//g; 1454: my $function_name = 1455: join('_','LONCAPA_scriptvars',$uname,$udom, 1456: $env{'form.counter'},$Apache::lonxml::curdepth); 1457: &Apache::lonxml::add_script_result( 1458: &Apache::loncommon::modal_adhoc_window($function_name,700,500, 1459: '<pre>'.$Apache::functionplotresponse::ruleslog.'</pre>', 1460: &mt('Rules Log'))."<br />"); 1461: } 1462: return $result; 1463: } 1464: 1465: sub compare_rel { 1466: my ($relationship,$value,$realval,$tol)=@_; 1467: # is the real value undefined? 1468: unless (defined($realval)) { 1469: # the real value is not defined 1470: if ($relationship eq 'eq') { 1471: if ($value eq 'undef') { 1472: return 1; 1473: } else { 1474: return 0; 1475: } 1476: } elsif ($relationship eq 'ne') { 1477: if ($value eq 'undef') { 1478: return 0; 1479: } else { 1480: return 1; 1481: } 1482: } else { 1483: return 0; 1484: } 1485: } 1486: 1487: # is the expected value undefined? 1488: if ($value eq 'undef') { 1489: # but by now we know that the real value is defined 1490: return 0; 1491: } 1492: 1493: # both are defined. 1494: if ($relationship eq 'gt') { 1495: return ($realval>$value); 1496: } elsif ($relationship eq 'ge') { 1497: return ($realval>$value-$tol); 1498: } elsif ($relationship eq 'lt') { 1499: return ($realval<$value); 1500: } elsif ($relationship eq 'le') { 1501: return ($realval<$value+$tol); 1502: } elsif ($relationship eq 'ne') { 1503: return (abs($value-$realval)>$tol); 1504: } else { 1505: return (abs($value-$realval)<$tol); 1506: } 1507: return 0; 1508: } 1509: 1510: sub addlog { 1511: my ($text)=@_; 1512: $text=~s/\'/\\\'/g; 1513: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 1514: } 1515: 1516: sub actualval { 1517: my ($i,$xmin,$xmax)=@_; 1518: return $xmin+$i/400.*($xmax-$xmin); 1519: } 1520: 1521: sub fpr_val { 1522: my ($arg)=@_; 1523: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg}, 1524: $Apache::functionplotresponse::fpr_xmin, 1525: $Apache::functionplotresponse::fpr_xmax); 1526: } 1527: 1528: sub fpr_f { 1529: my ($arg)=@_; 1530: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin, 1531: $Apache::functionplotresponse::fpr_xmax, 1532: $arg)]; 1533: } 1534: 1535: sub fpr_dfdx { 1536: my ($arg)=@_; 1537: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin, 1538: $Apache::functionplotresponse::fpr_xmax, 1539: $arg)]; 1540: } 1541: 1542: sub fpr_d2fdx2 { 1543: my ($arg)=@_; 1544: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin, 1545: $Apache::functionplotresponse::fpr_xmax, 1546: $arg)]; 1547: } 1548: 1549: sub fpr_vectorcoords { 1550: my ($arg)=@_; 1551: $arg=~s/\W//gs; 1552: $arg=ucfirst($arg); 1553: my $id=$Apache::inputtags::response[-1]; 1554: my $partid=$Apache::inputtags::part; 1555: my $internalid = $partid.'_'.$id; 1556: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'}, 1557: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'}, 1558: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'}, 1559: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'}); 1560: } 1561: 1562: sub fpr_objectcoords { 1563: my ($arg)=@_; 1564: $arg=~s/\W//gs; 1565: $arg=ucfirst($arg); 1566: my $id=$Apache::inputtags::response[-1]; 1567: my $partid=$Apache::inputtags::part; 1568: my $internalid = $partid.'_'.$id; 1569: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'}, 1570: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'}); 1571: } 1572: 1573: sub fpr_vectorlength { 1574: my ($arg)=@_; 1575: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1576: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys)); 1577: } 1578: 1579: sub fpr_vectorangle { 1580: my ($arg)=@_; 1581: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1582: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs)); 1583: if ($angle<0) { $angle=360+$angle; } 1584: return $angle; 1585: } 1586: 1587: sub vectorcoords { 1588: my ($id,$label)=@_; 1589: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'}, 1590: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'}, 1591: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'}, 1592: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'}); 1593: } 1594: 1595: sub objectcoords { 1596: my ($id,$label)=@_; 1597: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'}, 1598: $env{'form.HWVAL_'.$id.'_'.$label.'_y'}); 1599: } 1600: 1601: sub attached { 1602: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_; 1603: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector); 1604: my $tolx=($xmax-$xmin)/100.; 1605: my $toly=($ymax-$ymin)/100.; 1606: my $tail=0; 1607: my $tip=0; 1608: foreach my $obj (split(/\s*\,\s*/,$objects)) { 1609: $obj=~s/\W//g; 1610: unless ($obj) { next; } 1611: $obj=ucfirst($obj); 1612: my ($xo,$yo)=&objectcoords($id,$obj); 1613: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)"); 1614: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { 1615: $tail=1; 1616: &addlog("Attached tail: $obj"); 1617: } 1618: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { 1619: $tip=1; 1620: &addlog("Attached tip: $obj"); 1621: } 1622: } 1623: &addlog("Result tail:$tail tip:$tip"); 1624: return($tail,$tip); 1625: } 1626: 1627: 1628: sub vectorangle { 1629: my ($x,$y)=@_; 1630: my $angle=57.2957795*atan2($y,$x); 1631: if ($angle<0) { $angle=360+$angle; } 1632: return $angle; 1633: } 1634: 1635: sub vectorlength { 1636: my ($x,$y)=@_; 1637: return sqrt($x*$x+$y*$y); 1638: } 1639: 1640: sub relvector { 1641: my ($xs,$xe,$ys,$ye)=@_; 1642: return ($xe-$xs,$ye-$ys); 1643: } 1644: 1645: sub plotvectorlength { 1646: return &vectorlength(&relvector(&vectorcoords(@_))); 1647: } 1648: 1649: sub plotvectorangle { 1650: return &vectorangle(&relvector(&vectorcoords(@_))); 1651: } 1652: 1653: 1654: # 1655: # Evaluate a functionplotvectorrule 1656: # 1657: 1658: sub functionplotvectorrulecheck { 1659: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1660: &addlog("================="); 1661: my ($label,$type)=split(/\:/,$rule); 1662: if ($type eq 'vector') { 1663: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1664: } elsif ($type eq 'sum') { 1665: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1666: } elsif ($type eq 'custom') { 1667: return &customcheck($rule,$safeeval); 1668: } 1669: } 1670: 1671: sub vectorcheck { 1672: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1673: my ($label,$type,$id,$vector, 1674: $attachpoint,$notattachpoint, 1675: $tailpoint,$tippoint,$nottailpoint,$nottippoint, 1676: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1677: &addlog("Vector Rule $label for vector ".$vector); 1678: if ($length ne '') { 1679: &addlog("Checking for length $length with error $lengtherror"); 1680: $length=&Apache::run::run($length,$safeeval); 1681: &addlog("Length evaluated to $length"); 1682: my $thislength=&plotvectorlength($id,$vector); 1683: &addlog("Found length $thislength"); 1684: if (abs($thislength-$length)>$lengtherror) { 1685: &setfailed($label); 1686: return 0; 1687: } 1688: } 1689: if ($angle ne '') { 1690: &addlog("Checking for angle $angle with error $angleerror"); 1691: $angle=&Apache::run::run($angle,$safeeval); 1692: &addlog("Angle evaluated to $angle"); 1693: my $thisangle=&plotvectorangle($id,$vector); 1694: &addlog("Found angle $thisangle"); 1695: my $anglediff=abs($thisangle-$angle); 1696: &addlog("Angle difference: $anglediff"); 1697: if ($anglediff>360.-$anglediff) { 1698: $anglediff=360.-$anglediff; 1699: } 1700: &addlog("Smallest angle difference: $anglediff"); 1701: if ($anglediff>$angleerror) { 1702: &setfailed($label); 1703: return 0; 1704: } 1705: } 1706: if ($attachpoint ne '') { 1707: &addlog("Checking attached: ".$attachpoint); 1708: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax); 1709: unless ($tail || $tip) { 1710: &setfailed($label); 1711: return 0; 1712: } 1713: } 1714: if ($notattachpoint ne '') { 1715: &addlog("Checking not attached: ".$notattachpoint); 1716: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax); 1717: if ($tail || $tip) { 1718: &setfailed($label); 1719: return 0; 1720: } 1721: } 1722: if ($tailpoint ne '') { 1723: &addlog("Checking tail: ".$tailpoint); 1724: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax); 1725: unless ($tail) { 1726: &setfailed($label); 1727: return 0; 1728: } 1729: } 1730: if ($nottailpoint ne '') { 1731: &addlog("Checking not tail: ".$nottailpoint); 1732: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax); 1733: if ($tail) { 1734: &setfailed($label); 1735: return 0; 1736: } 1737: } 1738: if ($tippoint ne '') { 1739: &addlog("Checking tip: ".$tippoint); 1740: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax); 1741: unless ($tip) { 1742: &setfailed($label); 1743: return 0; 1744: } 1745: } 1746: if ($nottippoint ne '') { 1747: &addlog("Checking not tip: ".$nottippoint); 1748: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax); 1749: if ($tip) { 1750: &setfailed($label); 1751: return 0; 1752: } 1753: } 1754: 1755: &addlog("Rule $label passed."); 1756: return 1; 1757: } 1758: 1759: sub sumcheck { 1760: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1761: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1762: &addlog("Vector Sum Rule $label for vectors ".$vectors); 1763: my $sumx=0; 1764: my $sumy=0; 1765: foreach my $sv (split(/\s*\,\s*/,$vectors)) { 1766: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv)); 1767: $sumx+=$rx; 1768: $sumy+=$ry; 1769: } 1770: &addlog("Sum vector ($sumx,$sumy)"); 1771: if ($length ne '') { 1772: &addlog("Checking length $length with error $lengtherror"); 1773: $length=&Apache::run::run($length,$safeeval); 1774: &addlog("Evaluated to $length"); 1775: my $thislength=&vectorlength($sumx,$sumy); 1776: &addlog("Actual length $thislength"); 1777: if (abs($length-$thislength)>$lengtherror) { 1778: &setfailed($label); 1779: return 0; 1780: } 1781: } 1782: if ($angle ne '') { 1783: &addlog("Checking angle $angle with error $angleerror"); 1784: $angle=&Apache::run::run($angle,$safeeval); 1785: &addlog("Evaluated to $angle"); 1786: my $thisangle=&vectorangle($sumx,$sumy); 1787: &addlog("Actual angle $thisangle"); 1788: my $anglediff=abs($thisangle-$angle); 1789: &addlog("Angle difference: $anglediff"); 1790: if ($anglediff>360.-$anglediff) { 1791: $anglediff=360.-$anglediff; 1792: } 1793: &addlog("Smallest angle difference: $anglediff"); 1794: if ($anglediff>$angleerror) { 1795: &setfailed($label); 1796: return 0; 1797: } 1798: } 1799: &addlog("Rule $label passed."); 1800: return 1; 1801: } 1802: 1803: sub customcheck { 1804: my ($rule,$safeeval)=@_; 1805: my ($label,$type,$prg)=split(/\:/,$rule); 1806: &addlog("Custom Rule ".$label); 1807: my $result=&Apache::run::run(&unescape($prg),$safeeval); 1808: &addlog("Algorithm returned $result"); 1809: unless ($result) { 1810: &setfailed($label); 1811: return 0; 1812: } 1813: &addlog("Rule $label passed."); 1814: return 1; 1815: } 1816: 1817: # 1818: # Evaluate a functionplotrule 1819: # 1820: 1821: sub functionplotrulecheck { 1822: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1823: 1824: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 1825: =split(/\:/,$rule); 1826: $percent=($percent>0?$percent:5); 1827: &addlog("================="); 1828: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 1829: # 1830: # Evaluate the value 1831: # 1832: if (($value=~/\D/) && ($value ne 'undef')) { 1833: $Apache::functionplotresponse::fpr_xmin=$xmin; 1834: $Apache::functionplotresponse::fpr_xmax=$xmax; 1835: $value=&Apache::run::run($value,$safeeval); 1836: &addlog("Value evaluated to $value"); 1837: } 1838: 1839: # 1840: # Minimum and maximum lengths of the interval 1841: # 1842: if ((defined($minimumlength)) || (defined($maximumlength))) { 1843: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); 1844: } 1845: my $li=0; 1846: my $lh=400; 1847: 1848: # Special case: the upper boundary was not defined 1849: # and needs to be set to the value where 1850: # the condition is not true anymore => set flag 1851: 1852: my $findupper=0; 1853: if (($xfinal eq '') 1854: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 1855: && ($xfinallabel)) { 1856: $findupper=1; 1857: } 1858: 1859: # if a hard value is set for the boundaries, it overrides the label 1860: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 1861: $li=&array_index($xmin,$xmax,$xinitial); 1862: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 1863: } 1864: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 1865: $lh=&array_index($xmin,$xmax,$xfinal); 1866: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 1867: } 1868: # if the label is defined, use it 1869: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 1870: &addlog("Using lower label $xinitiallabel"); 1871: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 1872: } else { 1873: $li=&array_index($xmin,$xmax,$xinitial); 1874: } 1875: unless ($findupper) { 1876: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 1877: &addlog("Using upper label $xfinallabel"); 1878: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 1879: } else { 1880: $lh=&array_index($xmin,$xmax,$xfinal); 1881: } 1882: } 1883: # Basic sanity checks 1884: if ($li<0) { $li=0; } 1885: if ($lh>400) { $lh=400; } 1886: if (($li>$lh) || (!defined($lh))) { 1887: $lh=$li; 1888: } 1889: 1890: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 1891: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 1892: if ($findupper) { 1893: &addlog("Looking for label $xfinallabel"); 1894: } 1895: my $tol=$percent*($ymax-$ymin)/100; 1896: if ($xmax>$xmin) { 1897: if ($derivative==2) { 1898: $tol=4.*$tol/($xmax-$xmin); 1899: } elsif ($derivative==1) { 1900: $tol=2.*$tol/($xmax-$xmin); 1901: } elsif ($derivative==-1) { 1902: $tol=$tol*($xmax-$xmin)/2.; 1903: } 1904: } 1905: my $integral=0; 1906: my $binwidth=($xmax-$xmin)/400.; 1907: if (($derivative<0) && (!$findupper)) { 1908: # definite integral, calculate over whole length 1909: &addlog("Calculating definite integral"); 1910: for (my $i=$li; $i<=$lh; $i++) { 1911: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1912: } 1913: unless (&compare_rel($relationship,$value,$integral,$tol)) { 1914: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 1915: &addlog("Rule $label failed."); 1916: &setfailed($label); 1917: return 0; 1918: } 1919: } else { 1920: for (my $i=$li; $i<=$lh; $i++) { 1921: my $val; 1922: if ($derivative==2) { 1923: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 1924: } elsif ($derivative==1) { 1925: $val=$Apache::functionplotresponse::dfuncdx[$i]; 1926: } elsif ($derivative==-1) { 1927: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1928: $val=$integral; 1929: } else { 1930: $val=$Apache::functionplotresponse::func[$i]; 1931: } 1932: unless (&compare_rel($relationship,$value,$val,$tol)) { 1933: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 1934: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 1935: if (($findupper) && ($i>$li)) { 1936: # Check lengths 1937: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1938: # Successfully found a new label, set it 1939: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1940: &addlog("Rule $label passed, setting label $xfinallabel"); 1941: return 1; 1942: } else { 1943: &addlog("Rule $label failed."); 1944: &setfailed($label); 1945: return 0; 1946: } 1947: } 1948: } 1949: } 1950: # Corner case where this makes sense: using start or stop as defined labels 1951: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1952: &addlog("Rule $label passed."); 1953: return 1; 1954: } 1955: 1956: # 1957: # check for minimum and maximum lengths 1958: # 1959: 1960: sub checklength { 1961: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; 1962: unless (($minimumlength) || ($maximumlength)) { return 1; } 1963: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 1964: if ($minimumlength) { 1965: if ($length<$minimumlength) { 1966: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 1967: &setfailed($label); 1968: return 0; 1969: } 1970: } 1971: if ($maximumlength) { 1972: if ($length>$maximumlength) { 1973: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 1974: &setfailed($label); 1975: return 0; 1976: } 1977: } 1978: return 1; 1979: } 1980: 1981: sub setfailed { 1982: my ($hintlabel)=@_; 1983: $hintlabel=~s/^R//; 1984: push(@Apache::functionplotresponse::failedrules,$hintlabel); 1985: &addlog("Set hint condition $hintlabel"); 1986: } 1987: 1988: sub start_functionplotruleset { 1989: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1990: if ($target eq 'edit') { 1991: return &Apache::edit::start_table($token). 1992: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 1993: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1994: .&Apache::edit::deletelist($target,$token).'   '. 1995: &Apache::edit::insertlist($target,$token).'   ' 1996: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') 1997: .'</span></td>' 1998: ."<td> " 1999: .&Apache::edit::end_row() 2000: .&Apache::edit::start_spanning_row() 2001: ."\n"; 2002: } 2003: } 2004: 2005: sub end_functionplotruleset { 2006: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2007: my $id=$Apache::inputtags::response[-1]; 2008: my $partid=$Apache::inputtags::part; 2009: my $internalid = $partid.'_'.$id; 2010: 2011: if ($target eq 'edit' ) { 2012: return &Apache::edit::end_table(); 2013: } elsif ($target eq 'grade' 2014: && &Apache::response::submitted() 2015: && $Apache::lonhomework::type ne 'exam') { 2016: # 2017: # Actually grade 2018: # 2019: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2020: 2021: my $ad=''; 2022: undef %Apache::functionplotresponse::functionplotrulelabels; 2023: $Apache::functionplotresponse::ruleslog=''; 2024: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 2025: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 2026: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') { 2027: $ad='NOT_FUNCTION'; 2028: } else { 2029: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 2030: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 2031: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 2032: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 2033: 2034: # We have a function that we can actually grade, go through the spline rules. 2035: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 2036: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2037: $ad='INCORRECT'; 2038: last; 2039: } 2040: } 2041: # And now go through the vector rules 2042: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) { 2043: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2044: $ad='INCORRECT'; 2045: last; 2046: } 2047: } 2048: # If it's not wrong, it's correct 2049: unless ($ad) { $ad='EXACT_ANS' }; 2050: } 2051: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 2052: &addlog("Assigned award detail: $ad"); 2053: # Store for later to be assigned at end_functionplotresponse 2054: $Apache::functionplotresponse::awarddetail=$ad; 2055: } 2056: } 2057: 2058: 2059: sub end_functionplotresponse { 2060: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2061: &Apache::response::end_response; 2062: 2063: my $result; 2064: my $id=$Apache::inputtags::response[-1]; 2065: my $partid=$Apache::inputtags::part; 2066: my $internalid = $partid.'_'.$id; 2067: 2068: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 2069: if ($target eq 'grade' 2070: && &Apache::response::submitted() 2071: && $Apache::lonhomework::type eq 'exam') { 2072: 2073: &Apache::response::scored_response($partid,$id); 2074: 2075: } elsif ($target eq 'grade' 2076: && &Apache::response::submitted() 2077: && $Apache::lonhomework::type ne 'exam') { 2078: my ($response,%coords)=&get_answer_from_form_fields($internalid); 2079: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 2080: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 2081: # 2082: # Assign grade 2083: # 2084: my $ad=$Apache::functionplotresponse::awarddetail; 2085: # 2086: # Store grading info 2087: # 2088: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 2089: &Apache::response::handle_previous(\%previous,$ad); 2090: } elsif ($target eq 'web') { 2091: undef @Apache::functionplotresponse::failedrules; 2092: } 2093: return $result; 2094: } 2095: 2096: sub end_functionplotelements { 2097: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2098: my $result=''; 2099: my $id=$Apache::inputtags::response[-1]; 2100: my $partid=$Apache::inputtags::part; 2101: my $internalid = $partid.'_'.$id; 2102: if ($target eq 'edit' ) { 2103: $result=&Apache::edit::end_table(); 2104: } elsif ($target eq 'web') { 2105: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2106: 2107: # Are we in show answer mode? 2108: my $showanswer=&Apache::response::show_answer(); 2109: if ($showanswer) { 2110: # Render answerdisplay 2111: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); 2112: if ($answerdisplay=~/\S/s) { 2113: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { 2114: my @components=split(/\s*\:\s*/,$plot); 2115: if ($#components<3) { 2116: # Just a simple plot 2117: my ($func,$xl,$xh)=@components; 2118: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } 2119: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } 2120: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); 2121: } else { 2122: # This is a spline 2123: $result.=&answer_spline_script($internalid,@components); 2124: } 2125: } 2126: } 2127: } 2128: my $fixed=0; 2129: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } 2130: # Now is the time to render all of the stored splines 2131: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2132: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); 2133: } 2134: # close the init script 2135: $result.=&end_init_script(); 2136: # register all splines in this response 2137: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 2138: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 2139: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2140: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 2141: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 2142: } 2143: # generate the input fields 2144: $result.=$Apache::functionplotresponse::inputfields; 2145: # actually start the <applet>-tag 2146: $result.=&geogebra_startcode($internalid, 2147: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2), 2148: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2)); 2149: # set default parameters 2150: $result.=&geogebra_default_parameters($internalid); 2151: # close the <applet>-tag 2152: $result.=&geogebra_endcode(); 2153: } 2154: return $result; 2155: } 2156: 2157: sub boundaries { 2158: my ($parstack,$safeeval,$level)=@_; 2159: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 2160: $xmin=(defined($xmin)?$xmin:-10); 2161: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 2162: $xmax=(defined($xmax)?$xmax:10); 2163: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 2164: $ymin=(defined($ymin)?$ymin:-10); 2165: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 2166: $ymax=(defined($ymax)?$ymax:10); 2167: if ($xmax<=$xmin) { 2168: $xmax=$xmin+20; 2169: } 2170: if ($ymax<=$ymin) { 2171: $ymax=$ymin+20; 2172: } 2173: return ($xmin,$xmax,$ymin,$ymax); 2174: } 2175: 2176: sub start_functionplotelements { 2177: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2178: my $result=''; 2179: my $id=$Apache::inputtags::response[-1]; 2180: my $partid=$Apache::inputtags::part; 2181: my $internalid = $partid.'_'.$id; 2182: 2183: if ($target eq 'edit') { 2184: return &Apache::edit::start_table($token). 2185: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 2186: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 2187: .&Apache::edit::deletelist($target,$token).'   '. 2188: &Apache::edit::insertlist($target,$token).'   ' 2189: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') 2190: .'</span></td>' 2191: ."<td> " 2192: .&Apache::edit::end_row() 2193: .&Apache::edit::start_spanning_row() 2194: ."\n"; 2195: } elsif ($target eq 'web') { 2196: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2197: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2198: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2199: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2200: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 2201: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 2202: 2203: 2204: # paste in the update routine to receive stuff back from the applet 2205: $result.=&update_script($internalid); 2206: # start the initscript for this applet 2207: $result.=&start_init_script($internalid); 2208: # put the axis commands inside 2209: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 2210: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); 2211: # init script is left open 2212: } 2213: return $result; 2214: } 2215: 2216: 1; 2217: 2218: __END__ 2219: 2220: =head1 NAME 2221: 2222: Apache::functionplotresponse.pm; 2223: 2224: =head1 SYNOPSIS 2225: 2226: Handles tags associated with accepting function plots. 2227: 2228: This is part of the LearningOnline Network with CAPA project 2229: described at http://www.lon-capa.org. 2230: 2231: =head1 HANDLER SUBROUTINE 2232: 2233: start_functionplotresponse() 2234: 2235: =head1 OTHER SUBROUTINES 2236: 2237: =over 2238: 2239: =item end_functionplotresponse() 2240: 2241: =back 2242: 2243: =cut