loncom/homework/functionplotresponse.pm - view

File: [LON-CAPA] / loncom / homework / functionplotresponse.pm
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Fri Aug 17 13:08:11 2012 UTC (11 years, 9 months ago) by www
Branches: MAIN
CVS tags: HEAD

HTML5/JavaScript does not understand underscores in applet IDs

1: # LearningOnline Network with CAPA 2: # Functionplot responses 3: # 4: # $Id: functionplotresponse.pm,v 1.98 2012/08/17 13:08:11 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: # 56: # HTML5 version does not understand "_" in IDs 57: # 58: sub appid { 59: my ($id)=@_; 60: $id=~s/\_/rid/gs; 61: $id=~s/\W//gs; 62: return $id; 63: } 64: 65: # 66: # Routines to start the applet (Java) or the HTML5/JavaScript 67: # 68: # There can be a number of applets on a page, each called ggbApplet_$id, 69: # where $id is the "_"-concatenated part and responseid 70: # 71: 72: sub geogebra_startcode { 73: my ($id,$width,$height)=@_; 74: if (&useHTML5()) { 75: return &html5_geogebra_startcode(@_); 76: } else { 77: return &java_geogebra_startcode(@_). 78: &java_geogebra_code_param(); 79: } 80: } 81: 82: sub geogebra_endcode { 83: if (&useHTML5()) { 84: return ''; 85: } else { 86: return &java_geogebra_endcode(); 87: } 88: } 89: 90: sub geogebra_default_parameters { 91: my ($id)=@_; 92: if (&useHTML5()) { 93: return ''; 94: } else { 95: return &java_geogebra_default_parameters($id); 96: } 97: } 98: # === Java code 99: 100: sub java_geogebra_startcode { 101: my ($id,$width,$height)=@_; 102: my $appid=&appid($id); 103: $width=int(1.*$width); 104: $height=int(1.*$height); 105: unless ($width) { $width=700; } 106: unless ($height) { $height=400; } 107: return (<<ENDSTARTCODE); 108: <applet name="ggbApplet$appid" code="geogebra.GeoGebraApplet" archive="geogebra.jar" 109: codebase="/adm/geogebra/" width="$width" height="$height" MAYSCRIPT> 110: <param name="java_arguments" value="-Xmx512m -Djnlp.packEnabled=true"/> 111: ENDSTARTCODE 112: } 113: 114: sub java_geogebra_endcode { 115: return &Apache::lonhtmlcommon::java_not_enabled()."</applet>\n"; 116: } 117: 118: sub java_geogebra_code_param { 119: return '<param name="ggbBase64" value="'.&geogebra_internal_program().'" />'; 120: } 121: 122: # === HTML5 code 123: 124: sub html5_geogebra_startcode { 125: my ($id,$width,$height)=@_; 126: my $appid=&appid($id); 127: $width=int(1.*$width); 128: $height=int(1.*$height); 129: unless ($width) { $width=700; } 130: unless ($height) { $height=400; } 131: my $code=&geogebra_internal_program(); 132: return (<<ENDSTARTCODE); 133: <article class="geogebraweb" data-param-enableLabelDrags="false" data-param-enableShiftDragZoom="false" 134: data-param-width="$width" data-param-height="$height" data-param-id="ggbApplet$appid" 135: data-param-ggbbase64="$code"></article> 136: ENDSTARTCODE 137: } 138: 139: # 140: # This is the internal GeoGebra bytecode which defines the spline functions 141: # 142: sub geogebra_internal_program { 143: return 144: '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145: } 146: 147: # 148: # The standard set of parameters inside <applet> 149: # 150: sub java_geogebra_default_parameters { 151: my ($id)=@_; 152: my $appid=&appid($id); 153: return(<<ENDDEFAULTPARAMETERS); 154: <param name="image" value="/adm/lonIcons/lonanim.gif" /> 155: <param name="boxborder" value="false" /> 156: <param name="centerimage" value="true" /> 157: <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" /> 158: <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" /> 159: <param name="framePossible" value="false" /> 160: 161: <param name="showResetIcon" value="false" /> 162: <param name="showAnimationButton" value="false" /> 163: <param name="enableRightClick" value="false" /> 164: <param name="errorDialogsActive" value="true" /> 165: <param name="enableLabelDrags" value="false" /> 166: <param name="showMenuBar" value="false" /> 167: <param name="showToolBar" value="false" /> 168: <param name="showToolBarHelp" value="false" /> 169: <param name="showAlgebraInput" value="false" /> 170: <param name="enableShiftDragZoom" value="false" /> 171: <param name="allowRescaling" value="false" /> 172: <param name="enableLabelDrags" value="false" /> 173: <param name="ggbOnInitParam" value="ggbApplet$appid" /> 174: ENDDEFAULTPARAMETERS 175: } 176: 177: # 178: # This subroutine is called by LON-CAPA at </problem> 179: # Each applet on the page will call function ggbOnInit when it is done loading 180: # This function in turn will call the respective function registered by start_init_script 181: # Which one of the registered functions is called is determined by ggbOnInitParam, which GeoGebra passes to ggbOnInit 182: # 183: 184: sub init_script { 185: if ($#Apache::functionplotresponse::callscripts>=0) { 186: my $script=''; 187: foreach my $id (@Apache::functionplotresponse::callscripts) { 188: $script.="if (param=='ggbApplet".&appid($id)."') { loaded_$id=true; }\n"; 189: } 190: $script.="if (".join(' && ',map { "loaded_$_" } (@Apache::functionplotresponse::callscripts)). 191: ") { setTimeout('ggbInitAll()',200) }"; 192: my $calls=join("\n",map { "ggbInit_$_();" } (@Apache::functionplotresponse::callscripts)); 193: my $html5init=''; 194: if (&useHTML5()) { 195: $html5init= 196: '<script type="text/javascript" language="javascript" src="/adm/geogebra/html5/web/test42/web/web.nocache.js"></script>'; 197: } 198: return (<<ENDGGBINIT); 199: $html5init 200: <script type="text/javascript"> 201: // <![CDATA[ 202: // Function that each applet will call when loaded 203: // It will pass "its" parameter 204: // Set flags for when an applet is loaded, wait till all are loaded, and then some 205: function ggbOnInit(param) { 206: $script 207: } 208: function ggbInitAll() { 209: $calls 210: } 211: // ]]> 212: </script> 213: ENDGGBINIT 214: } 215: } 216: 217: # 218: # Each Geogebra applet is supposed to call this when parameters change 219: # Changes the hidden fields on the web page 220: # 221: sub update_script { 222: my ($id)=@_; 223: my $appid=&appid($id); 224: return (<<ENDUPDATESCRIPT); 225: <script type="text/javascript"> 226: // <![CDATA[ 227: function updatePointCoordinates_$id(coordinateName) { 228: var x = document.ggbApplet$appid.getXcoord(coordinateName); 229: var y = document.ggbApplet$appid.getYcoord(coordinateName); 230: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_x"].value = x; 231: document.lonhomework.elements["HWVAL_$id\_" + coordinateName + "_y"].value = y; 232: } 233: // ]]> 234: </script> 235: ENDUPDATESCRIPT 236: } 237: 238: # 239: # Register the above update-handler for a variable 240: # 241: 242: sub update_register { 243: my ($id,$variable)=@_; 244: my $appid=&appid($id); 245: return "document.ggbApplet$appid.registerObjectUpdateListener('$variable','updatePointCoordinates_$id');\n"; 246: } 247: 248: # 249: # Set a point coordinate variable 250: # 251: sub set_point_coordinate { 252: my ($id,$variable,$x,$y,$fixed)=@_; 253: my $appid=&appid($id); 254: my $mult=($fixed?'a*':''); 255: # Get rid of wild exponents, make sure it's a number 256: $x=1.*$x; 257: $y=1.*$y; 258: # GeoGebra does not understand "E" 259: $x=~s/[e|E]/\*10\^/; 260: $x=~s/\+//; 261: $y=~s/[e|E]/\*10\^/; 262: $y=~s/\+//; 263: return (<<ENDSETVARIABLE); 264: document.ggbApplet$appid.evalCommand("a=1"); 265: document.ggbApplet$appid.evalCommand("$variable=$mult($x,$y)"); 266: document.ggbApplet$appid.setLabelVisible("$variable",false); 267: ENDSETVARIABLE 268: } 269: 270: # 271: # Set a slope coordinate variable 272: # 273: sub set_slope_coordinate { 274: my ($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed)=@_; 275: my $appid=&appid($id); 276: my $xvariable=$variable.'x'; 277: my $yvariable=$variable.'y'; 278: my $domain=$xmax-$xmin; 279: my $range=$ymax-$ymin; 280: my $xinterval=$domain/100.; 281: my $yinterval=$range/200.; 282: my $mult=($fixed?'a*':''); 283: return (<<ENDSETSVARIABLE); 284: document.ggbApplet$appid.evalCommand("a=1"); 285: document.ggbApplet$appid.evalCommand("$xvariable=Slider[$xinterval,$domain,$xinterval]"); 286: document.ggbApplet$appid.setVisible("$xvariable", false); 287: document.ggbApplet$appid.evalCommand("$xvariable=$xrel"); 288: document.ggbApplet$appid.evalCommand("$yvariable=Slider[-$range,$range,$yinterval]"); 289: document.ggbApplet$appid.setVisible("$yvariable", false); 290: document.ggbApplet$appid.evalCommand("$yvariable=$yrel"); 291: document.ggbApplet$appid.evalCommand("$variable=$mult($xvariable+x($pointname),$yvariable+y($pointname))"); 292: document.ggbApplet$appid.setLabelVisible("$variable", false); 293: ENDSETSVARIABLE 294: } 295: 296: # 297: # Input field name for a coordinate variable 298: # 299: 300: sub field_name { 301: my ($id,$variable,$name)=@_; 302: return "HWVAL_$id\_$variable\_$name"; 303: } 304: 305: # 306: # Generate an input field for a coordinate variable 307: # 308: 309: sub generate_input_field { 310: my ($id,$variable,$x,$y)=@_; 311: $Apache::functionplotresponse::inputfields.= 312: "<input type='hidden' name='".&field_name($id,$variable,'x')."' value='$x' />\n". 313: "<input type='hidden' name='".&field_name($id,$variable,'y')."' value='$y' />\n"; 314: } 315: 316: # 317: # Initialize a new point coordinate variable at set a listener on it 318: # 319: sub new_point_coordinate { 320: my ($id,$variable,$x,$y,$fixed)=@_; 321: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 322: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 323: } 324: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 325: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 326: } 327: &generate_input_field($id,$variable,$x,$y); 328: return &set_point_coordinate($id,$variable,$x,$y,$fixed).&update_register($id,$variable); 329: } 330: 331: # 332: # Initialize a new slope coordinate variable at set a listener on it 333: # 334: sub new_slope_coordinate { 335: my ($id,$variable,$x,$y,$pointname,$xp,$yp,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 336: # 337: # $variable: name of the slope point 338: # $x, $y: coordinates of the slope point 339: # $pointname: name of the associated point point 340: # $xp $yp: coordinates of the point point 341: # 342: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'x')})) { 343: $x=$Apache::functionplotresponse::previous{&field_name($id,$variable,'x')}; 344: } 345: if (defined($Apache::functionplotresponse::previous{&field_name($id,$variable,'y')})) { 346: $y=$Apache::functionplotresponse::previous{&field_name($id,$variable,'y')}; 347: } 348: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')})) { 349: $xp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'x')}; 350: } 351: if (defined($Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')})) { 352: $yp=$Apache::functionplotresponse::previous{&field_name($id,$pointname,'y')}; 353: } 354: 355: &generate_input_field($id,$variable,$x,$y); 356: my $xrel=$x-$xp; 357: my $yrel=$y-$yp; 358: return &set_slope_coordinate($id,$variable,$xrel,$yrel,$xmin,$xmax,$ymin,$ymax,$pointname,$fixed).&update_register($id,$variable); 359: } 360: 361: # 362: # This registers the init-function call for ggbOnInit, which LON-CAPA will place at </problem> 363: # It then starts the right headers 364: # 365: sub start_init_script { 366: my ($id)=@_; 367: # Add id to the list of ggbInit_$id functions that need to be called 368: push(@Apache::functionplotresponse::callscripts,$id); 369: # ... and open this function 370: return (<<ENDSTARTINIT); 371: <script type="text/javascript"> 372: // <![CDATA[ 373: // variable that will eventually be passed back to the server 374: var coordinateMap_$id = []; 375: // flag for not loaded yet 376: var loaded_$id=false; 377: // Init-function for applet 378: function ggbInit_$id() { 379: ENDSTARTINIT 380: } 381: 382: # 383: # This sets the axes inside ggbInit_$id 384: # 385: 386: sub axes_script { 387: my ($id,$xmin,$xmax,$ymin,$ymax,$xvisible,$yvisible,$gvisible)=@_; 388: my $appid=&appid($id); 389: return (<<ENDAXESSCRIPT); 390: // changes (xmin, xmax, ymin, ymax) 391: document.ggbApplet$appid.setCoordSystem($xmin,$xmax,$ymin,$ymax); 392: 393: // makes the (x,y) axis (in)visible 394: document.ggbApplet$appid.setAxesVisible($xvisible,$yvisible); 395: // makes the grid (in)visible 396: document.ggbApplet$appid.setGridVisible($gvisible); 397: ENDAXESSCRIPT 398: } 399: 400: sub axes_label { 401: my ($id,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel)=@_; 402: my $appid=&appid($id); 403: unless ($xlabel || $ylabel) { return ''; } 404: my $return='document.ggbApplet'.$appid.'.evalCommand("topRight=Corner[3]");'; 405: if ($xlabel) { 406: if (($ymin<0) && ($ymax>0)) { 407: $return.=(<<ENDXAXISLABELSCRIPT); 408: document.ggbApplet$appid.evalCommand("Xlabel=(x(topRight)-AxisStepX[],AxisStepY[]/6)"); 409: document.ggbApplet$appid.setVisible("Xlabel",false); 410: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", Xlabel]"); 411: ENDXAXISLABELSCRIPT 412: } else { 413: $return.=(<<ENDXOFFAXISLABEL); 414: document.ggbApplet$appid.evalCommand("LowerRight=Corner[2]"); 415: document.ggbApplet$appid.evalCommand("Text[\\"$xlabel\\", (x(LowerRight) - AxisStepX[], y(LowerRight) + AxisStepY[] / 2)]"); 416: ENDXOFFAXISLABEL 417: } 418: } 419: if ($ylabel) { 420: if (($xmin<0) && ($xmax>0)) { 421: $return.=(<<ENDYAXISLABELSCRIPT); 422: document.ggbApplet$appid.evalCommand("Ylabel=(AxisStepX[]/6,y(topRight)-AxisStepY[]/3)"); 423: document.ggbApplet$appid.setVisible("Ylabel",false); 424: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", Ylabel]"); 425: ENDYAXISLABELSCRIPT 426: } else { 427: $return.=(<<ENDYOFFAXISLABEL); 428: document.ggbApplet$appid.evalCommand("UpperLeft=Corner[4]"); 429: document.ggbApplet$appid.evalCommand("Text[\\"$ylabel\\", (x(UpperLeft) + AxisStepX[] / 5, y(UpperLeft) - AxisStepY[] / 1.8)]"); 430: ENDYOFFAXISLABEL 431: } 432: } 433: return $return; 434: } 435: 436: # 437: # Subroutine to produce background and answer plots 438: # 439: 440: sub plot_script { 441: my ($id,$function,$fixed,$label,$color,$xmin,$xmax,$thickness)=@_; 442: my $appid=&appid($id); 443: $label=~s/\W//g; 444: if (($label) && ($label!~/^[A-Za-z]/)) { 445: $label='C'.$label; 446: } 447: my $visible=0; 448: if ($label) { 449: $visible="1"; 450: } else { 451: $Apache::functionplotresponse::counter++; 452: $label='C'.$Apache::functionplotresponse::counter; 453: } 454: my $rc=0; 455: my $gc=0; 456: my $bc=0; 457: if ($color) { 458: my ($rh,$gh,$bh)=($color=~/(..)(..)(..)/); 459: $rc=hex($rh); 460: $gc=hex($gh); 461: $bc=hex($bh); 462: } 463: if ($fixed) { 464: return "document.ggbApplet$appid.evalCommand('$label=Function[$function,$xmin,$xmax]');\n". 465: ($visible?'':"document.ggbApplet$appid.setLabelVisible('$label', false);\n"). 466: ($color?"document.ggbApplet$appid.setColor('$label',$rc,$gc,$bc);\n":''). 467: ($thickness?"document.ggbApplet$appid.setLineThickness('$label',$thickness);\n":''); 468: } else { 469: return "document.ggbApplet$appid.evalCommand('y=$function');\n"; 470: } 471: } 472: 473: # 474: # Subroutine to produce objects 475: # 476: 477: sub plotobject_script { 478: my ($id,$label,$x,$y)=@_; 479: my $appid=&appid($id); 480: unless ($label) { 481: $Apache::functionplotresponse::counter++; 482: $label='O'.$Apache::functionplotresponse::counter; 483: } 484: &generate_input_field($id,$label,$x,$y); 485: return "document.ggbApplet$appid.evalCommand('a=1');\n". 486: "document.ggbApplet$appid.setVisible('a', false);\n". 487: "document.ggbApplet$appid.setLabelVisible('a', false);\n". 488: "document.ggbApplet$appid.evalCommand('$label=a*($x,$y)');\n". 489: "document.ggbApplet$appid.setVisible('$label', true);\n". 490: "document.ggbApplet$appid.setLabelVisible('$label', true);\n"; 491: } 492: 493: # 494: # Subroutine to produce vectors 495: # 496: 497: sub plotvector_script { 498: my ($id,$label,$xs,$ys,$xe,$ye,$xmin,$xmax,$fixed)=@_; 499: my $appid=&appid($id); 500: unless ($label) { 501: $Apache::functionplotresponse::counter++; 502: $label='V'.$Apache::functionplotresponse::counter; 503: } 504: my $startlabel=$label.'Start'; 505: my $endlabel=$label.'End'; 506: my $pointlabel=$label.'Point'; 507: my $pointx=2.*($xmax-$xmin)+$xmax; 508: my $anglelabel=$label.'Angle'; 509: return 510: &new_point_coordinate($id,$startlabel,$xs,$ys,$fixed). 511: &new_point_coordinate($id,$endlabel,$xe,$ye,$fixed). 512: (<<ENDVECTOR); 513: document.ggbApplet$appid.evalCommand("$label=Vector[$startlabel,$endlabel]"); 514: document.ggbApplet$appid.setLabelVisible("$label",true); 515: document.ggbApplet$appid.setLineThickness("$label",8); 516: document.ggbApplet$appid.evalCommand("$pointlabel=($pointx,y($startlabel))"); 517: document.ggbApplet$appid.evalCommand("$anglelabel=Angle[$pointlabel,$startlabel,$endlabel]"); 518: document.ggbApplet$appid.setLabelVisible("$anglelabel",true); 519: document.ggbApplet$appid.setLabelStyle("$anglelabel",VALUE=2); 520: ENDVECTOR 521: } 522: 523: # 524: # Answer spline display 525: # 526: # points: x,y,slope_x,slope_y 527: 528: sub answer_spline_script { 529: my ($id,@points)=@_; 530: my $appid=&appid($id); 531: my $order=int(($#points+1)/4); 532: if ($order<2) { $order=2; } 533: if ($order>8) { $order=8; } 534: $Apache::functionplotresponse::counter++; 535: my $label='CSpline'.$Apache::functionplotresponse::counter; 536: my $output='document.ggbApplet'.$appid.'.evalCommand("'.$label.'=Spline'.$order.'['; 537: for (my $i=0;$i<=$#points;$i+=4) { 538: $output.="($points[$i],$points[$i+1]),($points[$i+2],$points[$i+3]),"; 539: } 540: $output=~s/\,$//; 541: $output.=']");'."\n"; 542: for (my $i=2; $i<2*$order; $i+=2) { 543: $output.='document.ggbApplet'.$appid.'.setColor("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",0,170,0);'."\n"; 544: } 545: for (my $i=1; $i<2*$order; $i+=2) { 546: $output.='document.ggbApplet'.$appid.'.setVisible("'.$label.'_'.($i>=10?'{':'').$i.($i>=10?'}':'').'",false);'."\n"; 547: } 548: 549: return $output; 550: } 551: 552: # 553: # Subroutine that generates code for spline $label based on stored information 554: # 555: 556: sub generate_spline { 557: my ($id,$label,$xmin,$xmax,$ymin,$ymax,$fixed)=@_; 558: my $appid=&appid($id); 559: my $result=''; 560: my $order=$Apache::functionplotresponse::splineorder{$label}; 561: my $x=$Apache::functionplotresponse::splineinitx{$label}; 562: my $y=$Apache::functionplotresponse::splineinity{$label}; 563: my $sx=$Apache::functionplotresponse::splinescalex{$label}; 564: my $sy=$Apache::functionplotresponse::splinescaley{$label}; 565: my @coords=(); 566: foreach my $i (1..$order) { 567: $result.=&new_point_coordinate($id,$label.'P'.$i,$x,$y,$fixed); 568: my $xp=$x; 569: $x+=$sx/(2.*($order-1)); 570: push(@coords,$label.'P'.$i); 571: $result.=&new_slope_coordinate($id,$label.'S'.$i,$x,$y+$sy,$label.'P'.$i,$xp,$y,$xmin,$xmax,$ymin,$ymax,$fixed); 572: $x+=$sx/(2.*($order-1)); 573: push(@coords,$label.'S'.$i); 574: } 575: $result.='document.ggbApplet'.$appid.'.evalCommand("Spline'.$order.'['.join(',',@coords).']");'."\n"; 576: return $result; 577: } 578: 579: # 580: # Object 581: # 582: 583: sub start_plotobject { 584: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 585: my $result=''; 586: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 587: my $x=&Apache::lonxml::get_param('x',$parstack,$safeeval); 588: my $y=&Apache::lonxml::get_param('y',$parstack,$safeeval); 589: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 590: $label=~s/\W//gs; 591: $label=ucfirst($label); 592: unless ($label) { $label="NewObject"; } 593: if ($target eq 'web') { 594: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 595: unless (defined($x)) { $x=$xmin; } 596: unless (defined($y)) { $y=$ymin; } 597: $result.=&plotobject_script($internalid,$label,$x,$y); 598: } elsif ($target eq 'edit') { 599: $result=&Apache::edit::tag_start($target,$token,'Plot Object'). 600: &Apache::edit::text_arg('Label on Plot:','label', 601: $token,'16'). 602: &Apache::edit::text_arg('x:','x', 603: $token,'8'). 604: &Apache::edit::text_arg('y:','y', 605: $token,'8'). 606: &Apache::edit::end_row(); 607: } elsif ($target eq 'modified') { 608: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 609: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','x','y'); 610: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 611: } 612: return $result; 613: } 614: 615: sub end_plotobject { 616: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 617: my $result=''; 618: if ($target eq 'edit') { 619: $result=&Apache::edit::end_table(); 620: } 621: return $result; 622: } 623: 624: # 625: # Vector 626: # 627: 628: sub start_plotvector { 629: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 630: my $result=''; 631: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 632: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 633: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 634: my $tipx=&Apache::lonxml::get_param('tipx',$parstack,$safeeval); 635: my $tipy=&Apache::lonxml::get_param('tipy',$parstack,$safeeval); 636: 637: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 638: $label=~s/\W//gs; 639: $label=ucfirst($label); 640: unless ($label) { $label="NewVector"; } 641: if ($Apache::functionplotresponse::vectorlabels{$label}) { 642: &Apache::lonxml::warning(&mt('Vector labels must be unique: [_1]',$label)); 643: } 644: $Apache::functionplotresponse::vectorlabels{$label}=1; 645: if ($target eq 'web') { 646: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 647: unless (defined($tailx)) { $tailx=$xmin; } 648: unless (defined($taily)) { $taily=$ymin; } 649: unless (defined($tipx)) { $tipx=$xmin; } 650: unless (defined($tipy)) { $tipy=$ymin; } 651: my $fixed=0; 652: if ((&Apache::response::show_answer()) || (&Apache::response::check_status()>=2)) { $fixed=1; } 653: $result.=&plotvector_script($internalid,$label,$tailx,$taily,$tipx,$tipy,$xmin,$xmax,$fixed); 654: } elsif ($target eq 'edit') { 655: $result=&Apache::edit::tag_start($target,$token,'Plot Vector'). 656: &Apache::edit::text_arg('Label on Plot:','label', 657: $token,'16'). 658: &Apache::edit::text_arg('Tail x:','tailx', 659: $token,'8'). 660: &Apache::edit::text_arg('Tail y:','taily', 661: $token,'8'). 662: &Apache::edit::text_arg('Tip x:','tipx', 663: $token,'8'). 664: &Apache::edit::text_arg('Tip y:','tipy', 665: $token,'8'). 666: 667: &Apache::edit::end_row(); 668: } elsif ($target eq 'modified') { 669: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 670: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','tipx','tipy'); 671: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 672: } 673: return $result; 674: } 675: 676: sub end_plotvector { 677: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 678: my $result=''; 679: if ($target eq 'edit') { 680: $result=&Apache::edit::end_table(); 681: } 682: return $result; 683: } 684: 685: 686: # 687: # Vector sum - have GeoGebra draw a sum of specified vectors to help students draw 688: # 689: 690: sub start_drawvectorsum { 691: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 692: my $result=''; 693: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 694: my $internalappid=&appid($internalid); 695: my $tailx=&Apache::lonxml::get_param('tailx',$parstack,$safeeval); 696: my $taily=&Apache::lonxml::get_param('taily',$parstack,$safeeval); 697: my $showvalue=&Apache::lonxml::get_param('showvalue',$parstack,$safeeval); 698: my $vectorlist=&Apache::lonxml::get_param('vectorlist',$parstack,$safeeval); 699: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 700: $label=~s/\W//gs; 701: $label=ucfirst($label); 702: unless ($label) { $label="NewVector"; } 703: if ($target eq 'web') { 704: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 705: unless (defined($tailx)) { $tailx=$xmin; } 706: unless (defined($taily)) { $taily=$ymin; } 707: unless (defined($vectorlist)) { $vectorlist=''; } 708: my @vectors=split(/\,/,$vectorlist); 709: if ($#vectors>0) { 710: my @sumx=(); 711: my @sumy=(); 712: foreach my $thisvector (@vectors) { 713: $thisvector=~s/\W//gs; 714: $thisvector=ucfirst($thisvector); 715: unless ($thisvector) { next; } 716: unless ($Apache::functionplotresponse::vectorlabels{$thisvector}) { 717: &Apache::lonxml::warning(&mt('Vectors must be defined before using them for drawing vector sums: [_1]',$thisvector)); 718: next; 719: } 720: my $vectorx=$thisvector.'X'; 721: my $vectory=$thisvector.'Y'; 722: $result.=(<<ENDADDVEC); 723: document.ggbApplet$internalappid.evalCommand("$vectorx=x($thisvector)"); 724: document.ggbApplet$internalappid.evalCommand("$vectory=y($thisvector)"); 725: document.ggbApplet$internalappid.evalCommand("Include$thisvector$label=Checkbox[]"); 726: ENDADDVEC 727: push(@sumx,"If[Include$thisvector$label,$vectorx,0]"); 728: push(@sumy,"If[Include$thisvector$label,$vectory,0]"); 729: } 730: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."xTot$label=".join('+',@sumx).'");'."\n"; 731: $result.="document.ggbApplet$internalappid.evalCommand(".'"'."yTot$label=".join('+',@sumy).'");'."\n"; 732: my $show=0; 733: if ($showvalue=~/yes/i) { 734: $show=1; 735: } 736: $result.=(<<ENDMAKEVECTOR); 737: document.ggbApplet$internalappid.evalCommand("$label=Vector[($tailx,$taily),($tailx+xTot$label,$taily+yTot$label)]"); 738: document.ggbApplet$internalappid.setLabelVisible("$label",true); 739: document.ggbApplet$internalappid.setLineThickness("$label",8); 740: document.ggbApplet$internalappid.setColor("$label",255,0,0); 741: document.ggbApplet$internalappid.setLabelStyle("$label",VALUE=$show); 742: ENDMAKEVECTOR 743: } 744: } elsif ($target eq 'edit') { 745: $result=&Apache::edit::tag_start($target,$token,'Draw Vector Sum'). 746: &Apache::edit::text_arg('Label on Plot:','label', 747: $token,'16'). 748: &Apache::edit::text_arg('Tail x:','tailx', 749: $token,'8'). 750: &Apache::edit::text_arg('Tail y:','taily', 751: $token,'8'). 752: &Apache::edit::select_arg('Show Value:','showvalue', 753: ['yes','no'],$token).'<br />'. 754: &Apache::edit::text_arg('Vector List:','vectorlist', 755: $token,'40'). 756: &Apache::edit::end_row(); 757: } elsif ($target eq 'modified') { 758: $env{'form.'.&Apache::edit::html_element_name('label')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('label')}); 759: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'label','tailx','taily','showvalue','vectorlist'); 760: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 761: } 762: return $result; 763: } 764: 765: 766: sub end_drawvectorsum { 767: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 768: my $result=''; 769: if ($target eq 'edit') { 770: $result=&Apache::edit::end_table(); 771: } 772: return $result; 773: } 774: 775: 776: 777: # 778: # <backgroundplot function="..." fixed="yes/no" /> 779: # 780: sub start_backgroundplot { 781: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 782: my $result=''; 783: my $internalid = $Apache::inputtags::part.'_'.$Apache::inputtags::response[-1]; 784: my $function=&Apache::lonxml::get_param('function',$parstack,$safeeval); 785: my $xinitial=&Apache::lonxml::get_param('xinitial',$parstack,$safeeval); 786: my $xfinal=&Apache::lonxml::get_param('xfinal',$parstack,$safeeval); 787: my $label=&Apache::lonxml::get_param('label',$parstack,$safeeval); 788: my $color=&Apache::lonxml::get_param('color',$parstack,$safeeval); 789: $color=~s/[^a-fA-F0-9]//gs; 790: unless (length($color)==6) { $color=''; } 791: my $fixed=(&Apache::lonxml::get_param('fixed',$parstack,$safeeval)=~/on|true|yes|1/i?1:0); 792: 793: unless ($function) { $function="0"; } 794: if ($target eq 'web') { 795: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-3); 796: unless (defined($xinitial)) { $xinitial=$xmin; } 797: unless (defined($xfinal)) { $xfinal=$xmax; } 798: $result.=&plot_script($internalid,$function,$fixed,$label,$color,$xinitial,$xfinal); 799: } elsif ($target eq 'edit') { 800: $result=&Apache::edit::tag_start($target,$token,'Background Function Plot'). 801: &Apache::edit::text_arg('Function:','function', 802: $token,'16'). 803: &Apache::edit::text_arg('Initial x-value (optional):','xinitial', 804: $token,'8'). 805: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 806: $token,'8'). 807: &Apache::edit::text_arg('Label on Plot:','label', 808: $token,'8'). 809: &Apache::edit::text_arg('Color (hex code):','color', 810: $token,'8'). 811: &Apache::edit::select_arg('Fixed location:','fixed', 812: ['yes','no'],$token). 813: &Apache::edit::end_row(); 814: } elsif ($target eq 'modified') { 815: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 816: $safeeval,'function','label','xinitial','xfinal','color','fixed'); 817: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 818: } 819: return $result; 820: } 821: 822: sub end_backgroundplot { 823: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 824: my $result=''; 825: if ($target eq 'edit') { 826: $result=&Apache::edit::end_table(); 827: } 828: return $result; 829: } 830: 831: # 832: # <functionplotrule ... /> 833: # 834: sub start_functionplotrule { 835: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 836: my $result=''; 837: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 838: $Apache::functionplotresponse::counter++; 839: if ($label=~/\W/) { 840: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 841: } 842: $label=~s/\W//gs; 843: unless ($label) { 844: $label='R'.$Apache::functionplotresponse::counter; 845: } else { 846: $label='R'.$label; 847: } 848: 849: if ($target eq 'grade') { 850: # Simply remember - in order - for later 851: my $beginninglabel=&Apache::lonxml::get_param('xinitiallabel',$parstack,$safeeval); 852: my $endinglabel=&Apache::lonxml::get_param('xfinallabel',$parstack,$safeeval); 853: if (($beginninglabel=~/\W/) || ($endinglabel=~/W/)) { 854: &Apache::lonxml::warning(&mt('Rule labels must be alphanumeric.')); 855: } 856: $beginninglabel=~s/\W//gs; 857: $endinglabel=~s/\W//gs; 858: my $relationship=&Apache::lonxml::get_param('relationship',$parstack,$safeeval); 859: $relationship=~s/\W//gs; 860: $relationship=lc($relationship); 861: unless ($relationship=~/^(eq|ge|gt|le|lt|ne)$/) { 862: &Apache::lonxml::warning(&mt('Rule relationship not defined.')); 863: $relationship='eq'; 864: } 865: my $derivative=&Apache::lonxml::get_param('derivativeorder',$parstack,$safeeval); 866: unless (($derivative==-1) || ($derivative==0) || ($derivative==1) || ($derivative==2)) { 867: &Apache::lonxml::warning(&mt('Rule derivative not defined.')); 868: $derivative=0; 869: } 870: push(@Apache::functionplotresponse::functionplotrules,join(':',( 871: $label, 872: $derivative, 873: &Apache::lonxml::get_param('xinitial',$parstack,$safeeval), 874: $beginninglabel, 875: &Apache::lonxml::get_param('xfinal',$parstack,$safeeval), 876: $endinglabel, 877: &Apache::lonxml::get_param('minimumlength',$parstack,$safeeval), 878: &Apache::lonxml::get_param('maximumlength',$parstack,$safeeval), 879: $relationship, 880: &Apache::lonxml::get_param('value',$parstack,$safeeval), 881: &Apache::lonxml::get_param('percenterror',$parstack,$safeeval) 882: ))); 883: } elsif ($target eq 'edit') { 884: $result=&Apache::edit::tag_start($target,$token,'Function Plot Graph Rule'). 885: &Apache::edit::text_arg('Index/Name:','index', 886: $token,'10').' '. 887: &Apache::edit::select_arg(&mt('Function:'),'derivativeorder', 888: [['0','Function itself'], 889: ['1','First derivative'], 890: ['2','Second derivative'], 891: ['-1','Integral']],$token).'<br />'. 892: &Apache::edit::text_arg('Initial x-value:','xinitial', 893: $token,'8'). 894: &Apache::edit::select_or_text_arg('Initial x-value label:','xinitiallabel', 895: [['start','Start of Plot'], 896: ['end','End of Plot']],$token,'8').'<br />'. 897: 898: &Apache::edit::text_arg('Final x-value (optional):','xfinal', 899: $token,'8'). 900: &Apache::edit::select_or_text_arg('Final x-value label (optional):','xfinallabel', 901: [['end','End of Plot']],$token,'8').'<br />'. 902: &Apache::edit::text_arg('Minimum length for range (optional):','minimumlength', 903: $token,'8'). 904: &Apache::edit::text_arg('Maximum length for range (optional):','maximumlength', 905: $token,'8').'<br />'. 906: &Apache::edit::select_or_text_arg(&mt('Relationship:'),'relationship', 907: [['eq','equal'], 908: ['ne','not equal'], 909: ['ge','greater than or equal'], 910: ['gt','greater than'], 911: ['lt','less than'], 912: ['le','less than or equal']],$token). 913: $result.= &Apache::edit::select_or_text_arg('Value:','value', 914: [['undef','not defined']],$token,'30'). 915: &Apache::edit::text_arg('Percent error:','percenterror', 916: $token,'8'). 917: &Apache::edit::end_row(); 918: } elsif ($target eq 'modified') { 919: if (($env{'form.'.&Apache::edit::html_element_name('xinitial')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xinitiallabel')} eq 'start')) { 920: $env{'form.'.&Apache::edit::html_element_name('xinitiallabel')}=''; 921: } 922: if (($env{'form.'.&Apache::edit::html_element_name('xfinal')} ne '') && ($env{'form.'.&Apache::edit::html_element_name('xfinallabel')} eq 'end')) { 923: $env{'form.'.&Apache::edit::html_element_name('xfinallabel')}=''; 924: } 925: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 926: $safeeval,'index','derivativeorder', 927: 'xinitial','xinitiallabel','xfinal','xfinallabel', 928: 'minimumlength','maximumlength', 929: 'relationship','value','percenterror'); 930: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 931: } 932: return $result; 933: } 934: 935: sub end_functionplotrule { 936: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 937: my $result=''; 938: if ($target eq 'edit') { 939: $result=&Apache::edit::end_table(); 940: } 941: return $result; 942: } 943: 944: 945: # 946: # <functionplotvectorrule ... /> 947: # 948: sub start_functionplotvectorrule { 949: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 950: my $result=''; 951: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 952: $Apache::functionplotresponse::counter++; 953: if ($label=~/\W/) { 954: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 955: } 956: $label=~s/\W//gs; 957: unless ($label) { 958: $label='R'.$Apache::functionplotresponse::counter; 959: } else { 960: $label='R'.$label; 961: } 962: 963: if ($target eq 'grade') { 964: # Simply remember - in order - for later 965: 966: my $id=$Apache::inputtags::response[-1]; 967: my $partid=$Apache::inputtags::part; 968: my $internalid = $partid.'_'.$id; 969: 970: my $vector=&Apache::lonxml::get_param('vector',$parstack,$safeeval); 971: $vector=~s/\W//gs; 972: $vector=ucfirst($vector); 973: 974: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 975: $label, 976: 'vector', 977: $internalid, 978: $vector, 979: &Apache::lonxml::get_param('attachpoint',$parstack,$safeeval), 980: &Apache::lonxml::get_param('notattachpoint',$parstack,$safeeval), 981: &Apache::lonxml::get_param('tailpoint',$parstack,$safeeval), 982: &Apache::lonxml::get_param('tippoint',$parstack,$safeeval), 983: &Apache::lonxml::get_param('nottailpoint',$parstack,$safeeval), 984: &Apache::lonxml::get_param('nottippoint',$parstack,$safeeval), 985: &Apache::lonxml::get_param('length',$parstack,$safeeval), 986: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 987: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 988: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 989: ))); 990: } elsif ($target eq 'edit') { 991: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Rule'). 992: &Apache::edit::text_arg('Index/Name:','index', 993: $token,'10').' '. 994: &Apache::edit::text_arg('Vector:','vector', 995: $token,'16').'<br />'. 996: &Apache::edit::text_arg('Attached to object:','attachpoint', 997: $token,'16'). 998: &Apache::edit::text_arg('Not attached to object:','notattachpoint', 999: $token,'16').'<br />'. 1000: &Apache::edit::text_arg('Tail attached to object:','tailpoint', 1001: $token,'16'). 1002: &Apache::edit::text_arg('Tip attached to object:','tippoint', 1003: $token,'16'). 1004: &Apache::edit::text_arg('Tail not attached to object:','nottailpoint', 1005: $token,'16'). 1006: &Apache::edit::text_arg('Tip not attached to object:','nottippoint', 1007: $token,'16').'<br />'. 1008: &Apache::edit::text_arg('Length:','length', 1009: $token,'30'). 1010: &Apache::edit::text_arg('Absolute error length:','lengtherror', 1011: $token,'8').'<br />'. 1012: &Apache::edit::text_arg('Angle:','angle', 1013: $token,'30'). 1014: &Apache::edit::text_arg('Absolute error angle:','angleerror', 1015: $token,'8'). 1016: &Apache::edit::end_row(); 1017: } elsif ($target eq 'modified') { 1018: $env{'form.'.&Apache::edit::html_element_name('vector')}=ucfirst($env{'form.'.&Apache::edit::html_element_name('vector')}); 1019: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1020: $safeeval,'index','vector','attachpoint','notattachpoint', 1021: 'tailpoint','tippoint','nottailpoint','nottipoint', 1022: 'length','angle', 1023: 'lengtherror','angleerror'); 1024: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1025: } 1026: return $result; 1027: } 1028: 1029: sub end_functionplotvectorrule { 1030: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1031: my $result=''; 1032: if ($target eq 'edit') { 1033: $result=&Apache::edit::end_table(); 1034: } 1035: return $result; 1036: } 1037: 1038: # 1039: # <functionplotvectorsumrule ... /> 1040: # 1041: sub start_functionplotvectorsumrule { 1042: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1043: my $result=''; 1044: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1045: $Apache::functionplotresponse::counter++; 1046: if ($label=~/\W/) { 1047: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1048: } 1049: $label=~s/\W//gs; 1050: unless ($label) { 1051: $label='R'.$Apache::functionplotresponse::counter; 1052: } else { 1053: $label='R'.$label; 1054: } 1055: if ($target eq 'grade') { 1056: # Simply remember - in order - for later 1057: my $id=$Apache::inputtags::response[-1]; 1058: my $partid=$Apache::inputtags::part; 1059: my $internalid = $partid.'_'.$id; 1060: my $vectors=&Apache::lonxml::get_param('vectors',$parstack,$safeeval); 1061: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1062: $label, 1063: 'sum', 1064: $internalid, 1065: $vectors, 1066: &Apache::lonxml::get_param('length',$parstack,$safeeval), 1067: &Apache::lonxml::get_param('angle',$parstack,$safeeval), 1068: &Apache::lonxml::get_param('lengtherror',$parstack,$safeeval), 1069: &Apache::lonxml::get_param('angleerror',$parstack,$safeeval), 1070: ))); 1071: } elsif ($target eq 'edit') { 1072: $result=&Apache::edit::tag_start($target,$token,'Function Plot Vector Sum Rule'). 1073: &Apache::edit::text_arg('Index/Name:','index', 1074: $token,'10').' '. 1075: &Apache::edit::text_arg('Comma-separated list of vectors:','vectors', 1076: $token,'30').'<br />'. 1077: &Apache::edit::text_arg('Sum vector length:','length', 1078: $token,'30'). 1079: &Apache::edit::text_arg('Absolute error length:','lengtherror', 1080: $token,'8').'<br />'. 1081: &Apache::edit::text_arg('Sum vector angle:','angle', 1082: $token,'30'). 1083: &Apache::edit::text_arg('Absolute error angle:','angleerror', 1084: $token,'8'). 1085: &Apache::edit::end_row(); 1086: } elsif ($target eq 'modified') { 1087: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1088: $safeeval,'index','vectors', 1089: 'length','angle', 1090: 'lengtherror','angleerror'); 1091: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1092: } 1093: return $result; 1094: } 1095: 1096: sub end_functionplotvectorsumrule { 1097: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1098: my $result=''; 1099: if ($target eq 'edit') { 1100: $result=&Apache::edit::end_table(); 1101: } 1102: return $result; 1103: } 1104: 1105: # 1106: # <functionplotcustom ... /> 1107: # 1108: sub start_functionplotcustomrule { 1109: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1110: my $result=''; 1111: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1112: $Apache::functionplotresponse::counter++; 1113: if ($label=~/\W/) { 1114: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1115: } 1116: $label=~s/\W//gs; 1117: unless ($label) { 1118: $label='R'.$Apache::functionplotresponse::counter; 1119: } else { 1120: $label='R'.$label; 1121: } 1122: &Apache::lonxml::register('Apache::response',('answer')); 1123: if ($target eq 'edit') { 1124: $result=&Apache::edit::tag_start($target,$token,'Function Plot Custom Rule'). 1125: &Apache::edit::text_arg('Index/Name:','index',$token,'10'). 1126: &Apache::edit::end_row(); 1127: } elsif ($target eq 'modified') { 1128: my $constructtag=&Apache::edit::get_new_args($token,$parstack,$safeeval,'index'); 1129: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1130: } 1131: return $result; 1132: } 1133: 1134: sub end_functionplotcustomrule { 1135: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1136: my $result=''; 1137: if ($target eq 'edit') { 1138: $result=&Apache::edit::end_table(); 1139: } elsif ($target eq 'grade') { 1140: # Simply remember - in order - for later 1141: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1142: $Apache::functionplotresponse::counter++; 1143: if ($label=~/\W/) { 1144: &Apache::lonxml::warning(&mt('Rule indices should only contain alphanumeric characters.')); 1145: } 1146: $label=~s/\W//gs; 1147: unless ($label) { 1148: $label='R'.$Apache::functionplotresponse::counter; 1149: } else { 1150: $label='R'.$label; 1151: } 1152: push(@Apache::functionplotresponse::functionplotvectorrules,join(':',( 1153: $label, 1154: 'custom', 1155: &escape($Apache::response::custom_answer[-1]) 1156: ))); 1157: } 1158: &Apache::lonxml::deregister('Apache::response',('answer')); 1159: return $result; 1160: } 1161: 1162: 1163: 1164: # 1165: # <spline index="..." order="1,2,3,4" initx="..." inity="..." scalex="..." scaley="..." /> 1166: # 1167: # Unfortunately, GeoGebra seems to want all splines after everything else, so we need to store them 1168: # 1169: sub start_spline { 1170: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1171: my $result=''; 1172: if ($target eq 'web') { 1173: my $label=&Apache::lonxml::get_param('index',$parstack,$safeeval); 1174: $Apache::functionplotresponse::counter++; 1175: if ($label=~/\W/) { 1176: &Apache::lonxml::warning(&mt('Spline indices should only contain alphanumeric characters.')); 1177: } 1178: $label=~s/\W//gs; 1179: unless ($label) { 1180: $label='S'.$Apache::functionplotresponse::counter; 1181: } else { 1182: $label='S'.$label; 1183: } 1184: if ($Apache::functionplotresponse::splineorder{$label}) { 1185: &Apache::lonxml::error(&mt('Spline indices must be unique.')); 1186: } 1187: 1188: my $order=&Apache::lonxml::get_param('order',$parstack,$safeeval); 1189: if ($order<2) { $order=2; } 1190: if ($order>8) { $order=8; } 1191: $Apache::functionplotresponse::splineorder{$label}=$order; 1192: 1193: my $x=&Apache::lonxml::get_param('initx',$parstack,$safeeval); 1194: unless ($x) { $x=0; } 1195: $Apache::functionplotresponse::splineinitx{$label}=$x; 1196: 1197: my $y=&Apache::lonxml::get_param('inity',$parstack,$safeeval); 1198: unless ($y) { $y=0; } 1199: $Apache::functionplotresponse::splineinity{$label}=$y; 1200: 1201: my $sx=&Apache::lonxml::get_param('scalex',$parstack,$safeeval); 1202: unless ($sx) { $sx=$order; } 1203: $Apache::functionplotresponse::splinescalex{$label}=$sx; 1204: 1205: my $sy=&Apache::lonxml::get_param('scaley',$parstack,$safeeval); 1206: unless ($sy) { $sy=2; } 1207: $Apache::functionplotresponse::splinescaley{$label}=$sy; 1208: } elsif ($target eq 'edit') { 1209: $result=&Apache::edit::tag_start($target,$token,'Spline'). 1210: &Apache::edit::text_arg('Index:','index', 1211: $token,'4').' '. 1212: &Apache::edit::select_arg('Order:','order', 1213: ['2','3','4','5','6','7','8'],$token).' '. 1214: &Apache::edit::text_arg('Initial x-value:','initx', 1215: $token,'4').' '. 1216: &Apache::edit::text_arg('Initial y-value:','inity', 1217: $token,'4').' '. 1218: &Apache::edit::text_arg('Scale x:','scalex', 1219: $token,'4').' '. 1220: &Apache::edit::text_arg('Scale y:','scaley', 1221: $token,'4'). 1222: &Apache::edit::end_row(); 1223: } elsif ($target eq 'modified') { 1224: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1225: $safeeval,'index','order','initx','inity', 1226: 'scalex','scaley'); 1227: if ($constructtag) { $result=&Apache::edit::rebuild_tag($token); } 1228: } 1229: return $result; 1230: } 1231: 1232: sub end_spline { 1233: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1234: my $result=''; 1235: if ($target eq 'edit') { 1236: $result=&Apache::edit::end_table(); 1237: } 1238: return $result; 1239: } 1240: 1241: sub end_init_script { 1242: return (<<ENDENDINIT); 1243: } 1244: // ]]> 1245: </script> 1246: ENDENDINIT 1247: } 1248: 1249: # 1250: # Storing and restoring spline coordinates from part answers 1251: # 1252: sub decode_previous_answer { 1253: my ($answer)=@_; 1254: foreach my $coordinate (split(/\,/,$answer)) { 1255: my ($key,$value)=split(/\=/,$coordinate); 1256: $Apache::functionplotresponse::previous{$key}=$value; 1257: } 1258: } 1259: 1260: sub get_answer_from_form_fields { 1261: my ($id)=@_; 1262: my $answer=''; 1263: my %coords=(); 1264: foreach my $field (keys(%env)) { 1265: if ($field=~/^form\.HWVAL\_$id/) { 1266: $field=~/^form\.(.*)$/; 1267: $coords{$1}=$env{$field}; 1268: } 1269: } 1270: $answer=join(',',map { $_.'='.$coords{$_} } (sort(keys(%coords)))); 1271: return ($answer,%coords); 1272: } 1273: 1274: # 1275: # The following functions calculate the cubic-hermite splines server-side 1276: # 1277: 1278: sub cubic_hermite { 1279: my ($t,$p1,$s1,$p2,$s2)=@_; 1280: return (2.*$t*$t*$t-3.*$t*$t+1.)*$p1 + 3.*($t*$t*$t-2.*$t*$t+$t)*($s1-$p1)+ 1281: (-2.*$t*$t*$t+3.*$t*$t) *$p2 + 3.*($t*$t*$t-$t*$t) *($s2-$p2); 1282: } 1283: 1284: # 1285: # d/dt(...) 1286: # 1287: 1288: sub ddt_cubic_hermite { 1289: my ($t,$p1,$s1,$p2,$s2)=@_; 1290: return (6.*$t*$t-6.*$t) *$p1 + 3.*(3.*$t*$t-4.*$t+1.)*($s1-$p1)+ 1291: (-6.*$t*$t+6.*$t)*$p2 + 3.*(3.*$t*$t-2.*$t) *($s2-$p2); 1292: } 1293: 1294: # 1295: # d^2/dt^2(...) 1296: # 1297: 1298: sub d2dt2_cubic_hermite { 1299: my ($t,$p1,$s1,$p2,$s2)=@_; 1300: return (12.*$t-6.) *$p1 + 3.*(6.*$t-4.)*($s1-$p1)+ 1301: (-12.*$t+6.)*$p2 + 3.*(6.*$t-2.)*($s2-$p2); 1302: } 1303: 1304: # 1305: # Array index calculation 1306: # 1307: sub array_index { 1308: my ($xmin,$xmax,$x)=@_; 1309: if ($x ne '') { 1310: return int(($x-$xmin)/($xmax-$xmin)*400.+0.5); 1311: } else { 1312: return undef; 1313: } 1314: } 1315: 1316: # 1317: # Populate the arrays 1318: # 1319: 1320: sub populate_arrays { 1321: my ($id,$xmin,$xmax,$ymin,$ymax)=@_; 1322: for (my $i=0; $i<=400; $i++) { 1323: $Apache::functionplotresponse::actualxval[$i]=undef; 1324: $Apache::functionplotresponse::func[$i]=undef; 1325: $Apache::functionplotresponse::dfuncdx[$i]=undef; 1326: $Apache::functionplotresponse::d2funcd2x[$i]=undef; 1327: } 1328: unless ($xmax>$xmin) { return 'no_func'; } 1329: # Run over all splines in response 1330: foreach my $label (split(/\,/,$env{"form.HWVAL_AllSplines_$id"})) { 1331: my $xiold=-1; 1332: # Run over all points in spline 1333: for (my $i=1; $i<$env{"form.HWVAL_SplineOrder_".$id."_".$label}; $i++) { 1334: my $ni=$i+1; 1335: my @xparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_x'}, 1336: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_x'}, 1337: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_x'}, 1338: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_x'}); 1339: my @yparms=($env{'form.HWVAL_'.$id.'_'.$label.'P'.$i.'_y'}, 1340: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$i.'_y'}, 1341: $env{'form.HWVAL_'.$id.'_'.$label.'P'.$ni.'_y'}, 1342: $env{'form.HWVAL_'.$id.'_'.$label.'S'.$ni.'_y'}); 1343: # Run in small steps over spline parameter 1344: for (my $t=0; $t<=1; $t+=0.0001) { 1345: my $xreal=&cubic_hermite($t,@xparms); 1346: my $xi=&array_index($xmin,$xmax,$xreal); 1347: if ($xi<$xiold) { return 'no_func'; } 1348: if (($xi>$xiold) && ($xi>=0) && ($xi<=400)) { 1349: $xiold=$xi; 1350: $Apache::functionplotresponse::actualxval[$xi]=$xreal; 1351: # Function value 1352: my $funcval=&cubic_hermite($t,@yparms); 1353: 1354: # Do we already have a value for this point, and is it different from the new one? 1355: if ((defined($Apache::functionplotresponse::func[$xi])) && 1356: (abs($Apache::functionplotresponse::func[$xi]-$funcval)>($ymax-$ymin)/100.)) { 1357: return 'no_func'; 1358: } 1359: # Okay, remember the new point 1360: $Apache::functionplotresponse::func[$xi]=$funcval; 1361: 1362: if (defined($funcval)) { 1363: if ($xi<$Apache::functionplotresponse::functionplotrulelabels{'start'}) { 1364: $Apache::functionplotresponse::functionplotrulelabels{'start'}=$xi; 1365: } 1366: if ($xi>$Apache::functionplotresponse::functionplotrulelabels{'end'}) { 1367: $Apache::functionplotresponse::functionplotrulelabels{'end'}=$xi; 1368: } 1369: } 1370: # Chain rule 1371: # dy/dx=dy/dt/(dx/dt) 1372: my $dxdt=&ddt_cubic_hermite($t,@xparms); 1373: if ($dxdt) { 1374: $Apache::functionplotresponse::dfuncdx[$xi]=&ddt_cubic_hermite($t,@yparms)/$dxdt; 1375: # Second derivative 1376: $Apache::functionplotresponse::d2funcdx2[$xi]= 1377: ($dxdt*&d2dt2_cubic_hermite($t,@yparms)-&ddt_cubic_hermite($t,@yparms)*&d2dt2_cubic_hermite($t,@xparms))/ 1378: ($dxdt*$dxdt*$dxdt); 1379: } 1380: } 1381: } 1382: } 1383: } 1384: } 1385: 1386: # 1387: # Implementation of <functionplotresponse> 1388: # 1389: 1390: sub start_functionplotresponse { 1391: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 1392: my $result=''; 1393: # To remember the splines - somehow, they need to come last 1394: undef %Apache::functionplotresponse::splineorder; 1395: undef %Apache::functionplotresponse::splineinitx; 1396: undef %Apache::functionplotresponse::splineinity; 1397: undef %Apache::functionplotresponse::splinescalex; 1398: undef %Apache::functionplotresponse::splinescaley; 1399: # Remember input fields, etc 1400: undef %Apache::functionplotresponse::previous; 1401: $Apache::functionplotresponse::inputfields=''; 1402: $Apache::functionplotresponse::counter=0; 1403: # Remember vectors 1404: undef %Apache::functionplotresponse::vectorlabels; 1405: # Remember rules 1406: undef @Apache::functionplotresponse::functionplotrules; 1407: undef @Apache::functionplotresponse::functionplotvectorrules; 1408: # Remember failed rules 1409: if ($target eq 'grade') { 1410: undef @Apache::functionplotresponse::failedrules; 1411: } 1412: # Delete previous awards 1413: undef $Apache::functionplotresponse::awarddetail; 1414: # Part and ID 1415: my $partid=$Apache::inputtags::part; 1416: my $id=&Apache::response::start_response($parstack,$safeeval); 1417: # Internal ID to mark the applet and its coordinates 1418: my $internalid = $partid.'_'.$id; 1419: # Previous answer 1420: &decode_previous_answer($Apache::lonhomework::history{"resource.$partid.$id.submission"}); 1421: 1422: # Parameters of <functionplotresponse> 1423: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval); 1424: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1425: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1426: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval)=~/on|true|yes|1/i?'true':'false'); 1427: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval); 1428: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval); 1429: if ($target eq 'edit') { 1430: $result.=&Apache::edit::start_table($token) 1431: .'<tr><td><span class="LC_nobreak">'.&mt('Function Plot Question').'</span></td>' 1432: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 1433: .&Apache::edit::deletelist($target,$token).'   ' 1434: .&Apache::edit::insertlist($target,$token).'   ' 1435: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Question','Function Plot Responses') 1436: .'</span></td>' 1437: ."<td> " 1438: .&Apache::edit::end_row() 1439: .&Apache::edit::start_spanning_row() 1440: ."\n"; 1441: $result.=&Apache::edit::text_arg('Width (pixels):','width', 1442: $token,'6').' '. 1443: &Apache::edit::text_arg('Height (pixels):','height', 1444: $token,'6').'<br />'. 1445: &Apache::edit::text_arg('Label x-axis:','xlabel', 1446: $token,'6').' '. 1447: &Apache::edit::text_arg('Minimum x-value:','xmin', 1448: $token,'4').' '. 1449: &Apache::edit::text_arg('Maximum x-value:','xmax', 1450: $token,'4').' '. 1451: &Apache::edit::select_arg('x-axis visible:','xaxisvisible', 1452: ['yes','no'],$token).'<br />'. 1453: &Apache::edit::text_arg('Label y-axis:','ylabel', 1454: $token,'6').' '. 1455: &Apache::edit::text_arg('Minimum y-value:','ymin', 1456: $token,'4').' '. 1457: &Apache::edit::text_arg('Maximum y-value:','ymax', 1458: $token,'4').' '. 1459: &Apache::edit::select_arg('y-axis visible:','yaxisvisible', 1460: ['yes','no'],$token).'<br />'. 1461: &Apache::edit::select_arg('Grid visible:','gridvisible', 1462: ['yes','no'],$token).'<br />'. 1463: &Apache::edit::text_arg('Background plot(s) for answer (function(x):xmin:xmax,function(x):xmin:xmax,x1:y1:sx1:sy1:x2:y2:sx2:sy2,...):', 1464: 'answerdisplay',$token,'50'). 1465: &Apache::edit::end_row().&Apache::edit::start_spanning_row(); 1466: } elsif ($target eq 'modified') { 1467: my $constructtag=&Apache::edit::get_new_args($token,$parstack, 1468: $safeeval,'width','height','xlabel','xmin','xmax','ylabel','ymin','ymax', 1469: 'xaxisvisible','yaxisvisible','gridvisible','answerdisplay'); 1470: if ($constructtag) { $result = &Apache::edit::rebuild_tag($token); } 1471: 1472: } elsif ($target eq 'meta') { 1473: $result=&Apache::response::meta_package_write('functionplotresponse'); 1474: } elsif (($target eq 'answer') && 1475: ($env{'form.answer_output_mode'} ne 'tex') && 1476: ($Apache::lonhomework::viewgrades == 'F')) { 1477: my (undef,undef,$udom,$uname)=&Apache::lonnet::whichuser(); 1478: $uname =~s/\W//g; 1479: $udom =~s/\W//g; 1480: my $function_name = 1481: join('_','LONCAPA_scriptvars',$uname,$udom, 1482: $env{'form.counter'},$Apache::lonxml::curdepth); 1483: &Apache::lonxml::add_script_result( 1484: &Apache::loncommon::modal_adhoc_window($function_name,700,500, 1485: '<pre>'.$Apache::functionplotresponse::ruleslog.'</pre>', 1486: &mt('Rules Log'))."<br />"); 1487: } 1488: return $result; 1489: } 1490: 1491: sub compare_rel { 1492: my ($relationship,$value,$realval,$tol)=@_; 1493: # is the real value undefined? 1494: unless (defined($realval)) { 1495: # the real value is not defined 1496: if ($relationship eq 'eq') { 1497: if ($value eq 'undef') { 1498: return 1; 1499: } else { 1500: return 0; 1501: } 1502: } elsif ($relationship eq 'ne') { 1503: if ($value eq 'undef') { 1504: return 0; 1505: } else { 1506: return 1; 1507: } 1508: } else { 1509: return 0; 1510: } 1511: } 1512: 1513: # is the expected value undefined? 1514: if ($value eq 'undef') { 1515: # but by now we know that the real value is defined 1516: return 0; 1517: } 1518: 1519: # both are defined. 1520: if ($relationship eq 'gt') { 1521: return ($realval>$value); 1522: } elsif ($relationship eq 'ge') { 1523: return ($realval>$value-$tol); 1524: } elsif ($relationship eq 'lt') { 1525: return ($realval<$value); 1526: } elsif ($relationship eq 'le') { 1527: return ($realval<$value+$tol); 1528: } elsif ($relationship eq 'ne') { 1529: return (abs($value-$realval)>$tol); 1530: } else { 1531: return (abs($value-$realval)<$tol); 1532: } 1533: return 0; 1534: } 1535: 1536: sub addlog { 1537: my ($text)=@_; 1538: $text=~s/\'/\\\'/g; 1539: $Apache::functionplotresponse::ruleslog.=$text.'<br />'; 1540: } 1541: 1542: sub actualval { 1543: my ($i,$xmin,$xmax)=@_; 1544: return $xmin+$i/400.*($xmax-$xmin); 1545: } 1546: 1547: sub fpr_val { 1548: my ($arg)=@_; 1549: return &actualval($Apache::functionplotresponse::functionplotrulelabels{$arg}, 1550: $Apache::functionplotresponse::fpr_xmin, 1551: $Apache::functionplotresponse::fpr_xmax); 1552: } 1553: 1554: sub fpr_f { 1555: my ($arg)=@_; 1556: return $Apache::functionplotresponse::func[&array_index($Apache::functionplotresponse::fpr_xmin, 1557: $Apache::functionplotresponse::fpr_xmax, 1558: $arg)]; 1559: } 1560: 1561: sub fpr_dfdx { 1562: my ($arg)=@_; 1563: return $Apache::functionplotresponse::dfuncdx[&array_index($Apache::functionplotresponse::fpr_xmin, 1564: $Apache::functionplotresponse::fpr_xmax, 1565: $arg)]; 1566: } 1567: 1568: sub fpr_d2fdx2 { 1569: my ($arg)=@_; 1570: return $Apache::functionplotresponse::d2funcdx2[&array_index($Apache::functionplotresponse::fpr_xmin, 1571: $Apache::functionplotresponse::fpr_xmax, 1572: $arg)]; 1573: } 1574: 1575: sub fpr_vectorcoords { 1576: my ($arg)=@_; 1577: $arg=~s/\W//gs; 1578: $arg=ucfirst($arg); 1579: my $id=$Apache::inputtags::response[-1]; 1580: my $partid=$Apache::inputtags::part; 1581: my $internalid = $partid.'_'.$id; 1582: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_x'}, 1583: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_x'}, 1584: $env{'form.HWVAL_'.$internalid.'_'.$arg.'Start_y'}, 1585: $env{'form.HWVAL_'.$internalid.'_'.$arg.'End_y'}); 1586: } 1587: 1588: sub fpr_objectcoords { 1589: my ($arg)=@_; 1590: $arg=~s/\W//gs; 1591: $arg=ucfirst($arg); 1592: my $id=$Apache::inputtags::response[-1]; 1593: my $partid=$Apache::inputtags::part; 1594: my $internalid = $partid.'_'.$id; 1595: return ($env{'form.HWVAL_'.$internalid.'_'.$arg.'_x'}, 1596: $env{'form.HWVAL_'.$internalid.'_'.$arg.'_y'}); 1597: } 1598: 1599: sub fpr_vectorlength { 1600: my ($arg)=@_; 1601: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1602: return sqrt(($xe-$xs)*($xe-$xs)+($ye-$ys)*($ye-$ys)); 1603: } 1604: 1605: sub fpr_vectorangle { 1606: my ($arg)=@_; 1607: my ($xs,$xe,$ys,$ye)=&fpr_vectorcoords($arg); 1608: my $angle=57.2957795*atan2(($ye-$ys),($xe-$xs)); 1609: if ($angle<0) { $angle=360+$angle; } 1610: return $angle; 1611: } 1612: 1613: sub vectorcoords { 1614: my ($id,$label)=@_; 1615: return ($env{'form.HWVAL_'.$id.'_'.$label.'Start_x'}, 1616: $env{'form.HWVAL_'.$id.'_'.$label.'End_x'}, 1617: $env{'form.HWVAL_'.$id.'_'.$label.'Start_y'}, 1618: $env{'form.HWVAL_'.$id.'_'.$label.'End_y'}); 1619: } 1620: 1621: sub objectcoords { 1622: my ($id,$label)=@_; 1623: return ($env{'form.HWVAL_'.$id.'_'.$label.'_x'}, 1624: $env{'form.HWVAL_'.$id.'_'.$label.'_y'}); 1625: } 1626: 1627: sub attached { 1628: my ($id,$vector,$objects,$xmin,$xmax,$ymin,$ymax)=@_; 1629: my ($xs,$xe,$ys,$ye)=&vectorcoords($id,$vector); 1630: my $tolx=($xmax-$xmin)/100.; 1631: my $toly=($ymax-$ymin)/100.; 1632: my $tail=0; 1633: my $tip=0; 1634: foreach my $obj (split(/\s*\,\s*/,$objects)) { 1635: $obj=~s/\W//g; 1636: unless ($obj) { next; } 1637: $obj=ucfirst($obj); 1638: my ($xo,$yo)=&objectcoords($id,$obj); 1639: &addlog("Proximity $vector ($xs,$ys)-($xe,$ye) to $obj ($xo,$yo)"); 1640: if ((abs($xs-$xo)<$tolx) && (abs($ys-$yo)<$toly)) { 1641: $tail=1; 1642: &addlog("Attached tail: $obj"); 1643: } 1644: if ((abs($xe-$xo)<$tolx) && (abs($ye-$yo)<$toly)) { 1645: $tip=1; 1646: &addlog("Attached tip: $obj"); 1647: } 1648: } 1649: &addlog("Result tail:$tail tip:$tip"); 1650: return($tail,$tip); 1651: } 1652: 1653: 1654: sub vectorangle { 1655: my ($x,$y)=@_; 1656: my $angle=57.2957795*atan2($y,$x); 1657: if ($angle<0) { $angle=360+$angle; } 1658: return $angle; 1659: } 1660: 1661: sub vectorlength { 1662: my ($x,$y)=@_; 1663: return sqrt($x*$x+$y*$y); 1664: } 1665: 1666: sub relvector { 1667: my ($xs,$xe,$ys,$ye)=@_; 1668: return ($xe-$xs,$ye-$ys); 1669: } 1670: 1671: sub plotvectorlength { 1672: return &vectorlength(&relvector(&vectorcoords(@_))); 1673: } 1674: 1675: sub plotvectorangle { 1676: return &vectorangle(&relvector(&vectorcoords(@_))); 1677: } 1678: 1679: 1680: # 1681: # Evaluate a functionplotvectorrule 1682: # 1683: 1684: sub functionplotvectorrulecheck { 1685: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1686: &addlog("================="); 1687: my ($label,$type)=split(/\:/,$rule); 1688: if ($type eq 'vector') { 1689: return &vectorcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1690: } elsif ($type eq 'sum') { 1691: return &sumcheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval); 1692: } elsif ($type eq 'custom') { 1693: return &customcheck($rule,$safeeval); 1694: } 1695: } 1696: 1697: sub vectorcheck { 1698: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1699: my ($label,$type,$id,$vector, 1700: $attachpoint,$notattachpoint, 1701: $tailpoint,$tippoint,$nottailpoint,$nottippoint, 1702: $length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1703: &addlog("Vector Rule $label for vector ".$vector); 1704: if ($length ne '') { 1705: &addlog("Checking for length $length with error $lengtherror"); 1706: $length=&Apache::run::run($length,$safeeval); 1707: &addlog("Length evaluated to $length"); 1708: my $thislength=&plotvectorlength($id,$vector); 1709: &addlog("Found length $thislength"); 1710: if (abs($thislength-$length)>$lengtherror) { 1711: &setfailed($label); 1712: return 0; 1713: } 1714: } 1715: if ($angle ne '') { 1716: &addlog("Checking for angle $angle with error $angleerror"); 1717: $angle=&Apache::run::run($angle,$safeeval); 1718: &addlog("Angle evaluated to $angle"); 1719: my $thisangle=&plotvectorangle($id,$vector); 1720: &addlog("Found angle $thisangle"); 1721: my $anglediff=abs($thisangle-$angle); 1722: &addlog("Angle difference: $anglediff"); 1723: if ($anglediff>360.-$anglediff) { 1724: $anglediff=360.-$anglediff; 1725: } 1726: &addlog("Smallest angle difference: $anglediff"); 1727: if ($anglediff>$angleerror) { 1728: &setfailed($label); 1729: return 0; 1730: } 1731: } 1732: if ($attachpoint ne '') { 1733: &addlog("Checking attached: ".$attachpoint); 1734: my ($tail,$tip)=&attached($id,$vector,$attachpoint,$xmin,$xmax,$ymin,$ymax); 1735: unless ($tail || $tip) { 1736: &setfailed($label); 1737: return 0; 1738: } 1739: } 1740: if ($notattachpoint ne '') { 1741: &addlog("Checking not attached: ".$notattachpoint); 1742: my ($tail,$tip)=&attached($id,$vector,$notattachpoint,$xmin,$xmax,$ymin,$ymax); 1743: if ($tail || $tip) { 1744: &setfailed($label); 1745: return 0; 1746: } 1747: } 1748: if ($tailpoint ne '') { 1749: &addlog("Checking tail: ".$tailpoint); 1750: my ($tail,$tip)=&attached($id,$vector,$tailpoint,$xmin,$xmax,$ymin,$ymax); 1751: unless ($tail) { 1752: &setfailed($label); 1753: return 0; 1754: } 1755: } 1756: if ($nottailpoint ne '') { 1757: &addlog("Checking not tail: ".$nottailpoint); 1758: my ($tail,$tip)=&attached($id,$vector,$nottailpoint,$xmin,$xmax,$ymin,$ymax); 1759: if ($tail) { 1760: &setfailed($label); 1761: return 0; 1762: } 1763: } 1764: if ($tippoint ne '') { 1765: &addlog("Checking tip: ".$tippoint); 1766: my ($tail,$tip)=&attached($id,$vector,$tippoint,$xmin,$xmax,$ymin,$ymax); 1767: unless ($tip) { 1768: &setfailed($label); 1769: return 0; 1770: } 1771: } 1772: if ($nottippoint ne '') { 1773: &addlog("Checking not tip: ".$nottippoint); 1774: my ($tail,$tip)=&attached($id,$vector,$nottippoint,$xmin,$xmax,$ymin,$ymax); 1775: if ($tip) { 1776: &setfailed($label); 1777: return 0; 1778: } 1779: } 1780: 1781: &addlog("Rule $label passed."); 1782: return 1; 1783: } 1784: 1785: sub sumcheck { 1786: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1787: my ($label,$type,$id,$vectors,$length,$angle,$lengtherror,$angleerror)=split(/\:/,$rule); 1788: &addlog("Vector Sum Rule $label for vectors ".$vectors); 1789: my $sumx=0; 1790: my $sumy=0; 1791: foreach my $sv (split(/\s*\,\s*/,$vectors)) { 1792: my ($rx,$ry)=&relvector(&vectorcoords($id,$sv)); 1793: $sumx+=$rx; 1794: $sumy+=$ry; 1795: } 1796: &addlog("Sum vector ($sumx,$sumy)"); 1797: if ($length ne '') { 1798: &addlog("Checking length $length with error $lengtherror"); 1799: $length=&Apache::run::run($length,$safeeval); 1800: &addlog("Evaluated to $length"); 1801: my $thislength=&vectorlength($sumx,$sumy); 1802: &addlog("Actual length $thislength"); 1803: if (abs($length-$thislength)>$lengtherror) { 1804: &setfailed($label); 1805: return 0; 1806: } 1807: } 1808: if ($angle ne '') { 1809: &addlog("Checking angle $angle with error $angleerror"); 1810: $angle=&Apache::run::run($angle,$safeeval); 1811: &addlog("Evaluated to $angle"); 1812: my $thisangle=&vectorangle($sumx,$sumy); 1813: &addlog("Actual angle $thisangle"); 1814: my $anglediff=abs($thisangle-$angle); 1815: &addlog("Angle difference: $anglediff"); 1816: if ($anglediff>360.-$anglediff) { 1817: $anglediff=360.-$anglediff; 1818: } 1819: &addlog("Smallest angle difference: $anglediff"); 1820: if ($anglediff>$angleerror) { 1821: &setfailed($label); 1822: return 0; 1823: } 1824: } 1825: &addlog("Rule $label passed."); 1826: return 1; 1827: } 1828: 1829: sub customcheck { 1830: my ($rule,$safeeval)=@_; 1831: my ($label,$type,$prg)=split(/\:/,$rule); 1832: &addlog("Custom Rule ".$label); 1833: my $result=&Apache::run::run(&unescape($prg),$safeeval); 1834: &addlog("Algorithm returned $result"); 1835: unless ($result) { 1836: &setfailed($label); 1837: return 0; 1838: } 1839: &addlog("Rule $label passed."); 1840: return 1; 1841: } 1842: 1843: # 1844: # Evaluate a functionplotrule 1845: # 1846: 1847: sub functionplotrulecheck { 1848: my ($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)=@_; 1849: 1850: my ($label,$derivative,$xinitial,$xinitiallabel,$xfinal,$xfinallabel,$minimumlength,$maximumlength,$relationship,$value,$percent) 1851: =split(/\:/,$rule); 1852: $percent=($percent>0?$percent:5); 1853: &addlog("================="); 1854: &addlog("Rule $label for ".($derivative<0?'integral':('function itself','first derivative','second derivative')[$derivative])." $relationship $value"); 1855: # 1856: # Evaluate the value 1857: # 1858: if (($value=~/\D/) && ($value ne 'undef')) { 1859: $Apache::functionplotresponse::fpr_xmin=$xmin; 1860: $Apache::functionplotresponse::fpr_xmax=$xmax; 1861: $value=&Apache::run::run($value,$safeeval); 1862: &addlog("Value evaluated to $value"); 1863: } 1864: 1865: # 1866: # Minimum and maximum lengths of the interval 1867: # 1868: if ((defined($minimumlength)) || (defined($maximumlength))) { 1869: &addlog("Minimumlength $minimumlength Maximumlength $maximumlength"); 1870: } 1871: my $li=0; 1872: my $lh=400; 1873: 1874: # Special case: the upper boundary was not defined 1875: # and needs to be set to the value where 1876: # the condition is not true anymore => set flag 1877: 1878: my $findupper=0; 1879: if (($xfinal eq '') 1880: && (!defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) 1881: && ($xfinallabel)) { 1882: $findupper=1; 1883: } 1884: 1885: # if a hard value is set for the boundaries, it overrides the label 1886: if (($xinitial ne '') && ($xinitiallabel ne '') && ($xinitiallabel ne 'start')) { 1887: $li=&array_index($xmin,$xmax,$xinitial); 1888: $Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}=$li; 1889: } 1890: if (($xfinal ne '') && ($xfinallabel ne '') && ($xfinallabel ne 'end')) { 1891: $lh=&array_index($xmin,$xmax,$xfinal); 1892: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$lh; 1893: } 1894: # if the label is defined, use it 1895: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel})) { 1896: &addlog("Using lower label $xinitiallabel"); 1897: $li=$Apache::functionplotresponse::functionplotrulelabels{$xinitiallabel}; 1898: } else { 1899: $li=&array_index($xmin,$xmax,$xinitial); 1900: } 1901: unless ($findupper) { 1902: if (defined($Apache::functionplotresponse::functionplotrulelabels{$xfinallabel})) { 1903: &addlog("Using upper label $xfinallabel"); 1904: $lh=$Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}-1; 1905: } else { 1906: $lh=&array_index($xmin,$xmax,$xfinal); 1907: } 1908: } 1909: # Basic sanity checks 1910: if ($li<0) { $li=0; } 1911: if ($lh>400) { $lh=400; } 1912: if (($li>$lh) || (!defined($lh))) { 1913: $lh=$li; 1914: } 1915: 1916: &addlog("Boundaries: x=".&actualval($li,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$li]."; index $li)) to x=". 1917: &actualval($lh,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$lh]."; index $lh))"); 1918: if ($findupper) { 1919: &addlog("Looking for label $xfinallabel"); 1920: } 1921: my $tol=$percent*($ymax-$ymin)/100; 1922: if ($xmax>$xmin) { 1923: if ($derivative==2) { 1924: $tol=4.*$tol/($xmax-$xmin); 1925: } elsif ($derivative==1) { 1926: $tol=2.*$tol/($xmax-$xmin); 1927: } elsif ($derivative==-1) { 1928: $tol=$tol*($xmax-$xmin)/2.; 1929: } 1930: } 1931: my $integral=0; 1932: my $binwidth=($xmax-$xmin)/400.; 1933: if (($derivative<0) && (!$findupper)) { 1934: # definite integral, calculate over whole length 1935: &addlog("Calculating definite integral"); 1936: for (my $i=$li; $i<=$lh; $i++) { 1937: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1938: } 1939: unless (&compare_rel($relationship,$value,$integral,$tol)) { 1940: &addlog("Actual integral ".(defined($integral)?$integral:'undef').", expected $value, tolerance $tol"); 1941: &addlog("Rule $label failed."); 1942: &setfailed($label); 1943: return 0; 1944: } 1945: } else { 1946: for (my $i=$li; $i<=$lh; $i++) { 1947: my $val; 1948: if ($derivative==2) { 1949: $val=$Apache::functionplotresponse::d2funcdx2[$i]; 1950: } elsif ($derivative==1) { 1951: $val=$Apache::functionplotresponse::dfuncdx[$i]; 1952: } elsif ($derivative==-1) { 1953: $integral+=$Apache::functionplotresponse::func[$i]*$binwidth; 1954: $val=$integral; 1955: } else { 1956: $val=$Apache::functionplotresponse::func[$i]; 1957: } 1958: unless (&compare_rel($relationship,$value,$val,$tol)) { 1959: &addlog("Actual value ".(defined($val)?$val:'undef').", expected $value, tolerance $tol"); 1960: &addlog("Condition not fulfilled at x=".&actualval($i,$xmin,$xmax)." (".$Apache::functionplotresponse::actualxval[$i]."; index $i)"); 1961: if (($findupper) && ($i>$li)) { 1962: # Check lengths 1963: unless (&checklength($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1964: # Successfully found a new label, set it 1965: $Apache::functionplotresponse::functionplotrulelabels{$xfinallabel}=$i; 1966: &addlog("Rule $label passed, setting label $xfinallabel"); 1967: return 1; 1968: } else { 1969: &addlog("Rule $label failed."); 1970: &setfailed($label); 1971: return 0; 1972: } 1973: } 1974: } 1975: } 1976: # Corner case where this makes sense: using start or stop as defined labels 1977: unless (&checklength($lh,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)) { return 0; } 1978: &addlog("Rule $label passed."); 1979: return 1; 1980: } 1981: 1982: # 1983: # check for minimum and maximum lengths 1984: # 1985: 1986: sub checklength { 1987: my ($i,$li,$minimumlength,$maximumlength,$xmin,$xmax,$label)=@_; 1988: unless (($minimumlength) || ($maximumlength)) { return 1; } 1989: my $length=&actualval($i,$xmin,$xmax)-&actualval($li,$xmin,$xmax); 1990: if ($minimumlength) { 1991: if ($length<$minimumlength) { 1992: &addlog("Rule $label failed, actual length $length, minimum length $minimumlength"); 1993: &setfailed($label); 1994: return 0; 1995: } 1996: } 1997: if ($maximumlength) { 1998: if ($length>$maximumlength) { 1999: &addlog("Rule $label failed, actual length $length, maximum length $maximumlength"); 2000: &setfailed($label); 2001: return 0; 2002: } 2003: } 2004: return 1; 2005: } 2006: 2007: sub setfailed { 2008: my ($hintlabel)=@_; 2009: $hintlabel=~s/^R//; 2010: push(@Apache::functionplotresponse::failedrules,$hintlabel); 2011: &addlog("Set hint condition $hintlabel"); 2012: } 2013: 2014: sub start_functionplotruleset { 2015: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2016: if ($target eq 'edit') { 2017: return &Apache::edit::start_table($token). 2018: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Rule Set').'</span></td>' 2019: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 2020: .&Apache::edit::deletelist($target,$token).'   '. 2021: &Apache::edit::insertlist($target,$token).'   ' 2022: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Rule_Set','Function Plot Rules') 2023: .'</span></td>' 2024: ."<td> " 2025: .&Apache::edit::end_row() 2026: .&Apache::edit::start_spanning_row() 2027: ."\n"; 2028: } 2029: } 2030: 2031: sub end_functionplotruleset { 2032: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2033: my $id=$Apache::inputtags::response[-1]; 2034: my $partid=$Apache::inputtags::part; 2035: my $internalid = $partid.'_'.$id; 2036: 2037: if ($target eq 'edit' ) { 2038: return &Apache::edit::end_table(); 2039: } elsif ($target eq 'grade' 2040: && &Apache::response::submitted() 2041: && $Apache::lonhomework::type ne 'exam') { 2042: # 2043: # Actually grade 2044: # 2045: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2046: 2047: my $ad=''; 2048: undef %Apache::functionplotresponse::functionplotrulelabels; 2049: $Apache::functionplotresponse::ruleslog=''; 2050: $Apache::functionplotresponse::functionplotrulelabels{'start'}=400; 2051: $Apache::functionplotresponse::functionplotrulelabels{'end'}=0; 2052: if (&populate_arrays($internalid,$xmin,$xmax,$ymin,$ymax) eq 'no_func') { 2053: $ad='NOT_FUNCTION'; 2054: } else { 2055: &addlog("Start of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'start'},$xmin,$xmax)." (index ". 2056: $Apache::functionplotresponse::functionplotrulelabels{'start'}.")"); 2057: &addlog("End of function ".&actualval($Apache::functionplotresponse::functionplotrulelabels{'end'},$xmin,$xmax)." (index ". 2058: $Apache::functionplotresponse::functionplotrulelabels{'end'}.")"); 2059: 2060: # We have a function that we can actually grade, go through the spline rules. 2061: foreach my $rule (@Apache::functionplotresponse::functionplotrules) { 2062: unless (&functionplotrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2063: $ad='INCORRECT'; 2064: last; 2065: } 2066: } 2067: # And now go through the vector rules 2068: foreach my $rule (@Apache::functionplotresponse::functionplotvectorrules) { 2069: unless (&functionplotvectorrulecheck($rule,$xmin,$xmax,$ymin,$ymax,$safeeval)) { 2070: $ad='INCORRECT'; 2071: last; 2072: } 2073: } 2074: # If it's not wrong, it's correct 2075: unless ($ad) { $ad='EXACT_ANS' }; 2076: } 2077: &addlog("Set hint conditions: ".join(",",@Apache::functionplotresponse::failedrules)); 2078: &addlog("Assigned award detail: $ad"); 2079: # Store for later to be assigned at end_functionplotresponse 2080: $Apache::functionplotresponse::awarddetail=$ad; 2081: } 2082: } 2083: 2084: 2085: sub end_functionplotresponse { 2086: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2087: &Apache::response::end_response; 2088: 2089: my $result; 2090: my $id=$Apache::inputtags::response[-1]; 2091: my $partid=$Apache::inputtags::part; 2092: my $internalid = $partid.'_'.$id; 2093: 2094: if ($target eq 'edit') { $result=&Apache::edit::end_table(); } 2095: if ($target eq 'grade' 2096: && &Apache::response::submitted() 2097: && $Apache::lonhomework::type eq 'exam') { 2098: 2099: &Apache::response::scored_response($partid,$id); 2100: 2101: } elsif ($target eq 'grade' 2102: && &Apache::response::submitted() 2103: && $Apache::lonhomework::type ne 'exam') { 2104: my ($response,%coords)=&get_answer_from_form_fields($internalid); 2105: $Apache::lonhomework::results{"resource.$partid.$id.submission"}=$response; 2106: my %previous=&Apache::response::check_for_previous($response,$partid,$id); 2107: # 2108: # Assign grade 2109: # 2110: my $ad=$Apache::functionplotresponse::awarddetail; 2111: # 2112: # Store grading info 2113: # 2114: $Apache::lonhomework::results{"resource.$partid.$id.awarddetail"}=$ad; 2115: &Apache::response::handle_previous(\%previous,$ad); 2116: } elsif ($target eq 'web') { 2117: undef @Apache::functionplotresponse::failedrules; 2118: } 2119: return $result; 2120: } 2121: 2122: sub end_functionplotelements { 2123: my ($target,$token,$tagstack,$parstack,$parser,$safeeval)=@_; 2124: my $result=''; 2125: my $id=$Apache::inputtags::response[-1]; 2126: my $partid=$Apache::inputtags::part; 2127: my $internalid = $partid.'_'.$id; 2128: if ($target eq 'edit' ) { 2129: $result=&Apache::edit::end_table(); 2130: } elsif ($target eq 'web') { 2131: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2132: 2133: # Are we in show answer mode? 2134: my $showanswer=&Apache::response::show_answer(); 2135: if ($showanswer) { 2136: # Render answerdisplay 2137: my $answerdisplay=&Apache::lonxml::get_param('answerdisplay',$parstack,$safeeval,-2); 2138: if ($answerdisplay=~/\S/s) { 2139: foreach my $plot (split(/\s*\,\s*/,$answerdisplay)) { 2140: my @components=split(/\s*\:\s*/,$plot); 2141: if ($#components<3) { 2142: # Just a simple plot 2143: my ($func,$xl,$xh)=@components; 2144: if ((!defined($xl)) || ($xl eq '')) { $xl=$xmin; } 2145: if ((!defined($xh)) || ($xh eq '')) { $xh=$xmax; } 2146: $result.=&plot_script($internalid,$func,1,'','00aa00',$xl,$xh,6); 2147: } else { 2148: # This is a spline 2149: $result.=&answer_spline_script($internalid,@components); 2150: } 2151: } 2152: } 2153: } 2154: my $fixed=0; 2155: if (($showanswer) || (&Apache::response::check_status()>=2)) { $fixed=1; } 2156: # Now is the time to render all of the stored splines 2157: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2158: $result.=&generate_spline($internalid,$label,$xmin,$xmax,$ymin,$ymax,$fixed); 2159: } 2160: # close the init script 2161: $result.=&end_init_script(); 2162: # register all splines in this response 2163: $result.='<input type="hidden" name="HWVAL_AllSplines_'.$internalid.'" value="'. 2164: join(',',keys(%Apache::functionplotresponse::splineorder)).'" />'."\n"; 2165: foreach my $label (keys(%Apache::functionplotresponse::splineorder)) { 2166: $result.='<input type="hidden" name="HWVAL_SplineOrder_'.$internalid.'_'.$label.'" value="'. 2167: $Apache::functionplotresponse::splineorder{$label}.'" />'."\n"; 2168: } 2169: # generate the input fields 2170: $result.=$Apache::functionplotresponse::inputfields; 2171: # actually start the <applet>-tag 2172: $result.=&geogebra_startcode($internalid, 2173: &Apache::lonxml::get_param('width',$parstack,$safeeval,-2), 2174: &Apache::lonxml::get_param('height',$parstack,$safeeval,-2)); 2175: # set default parameters 2176: $result.=&geogebra_default_parameters($internalid); 2177: # close the <applet>-tag 2178: $result.=&geogebra_endcode(); 2179: } 2180: return $result; 2181: } 2182: 2183: sub boundaries { 2184: my ($parstack,$safeeval,$level)=@_; 2185: my $xmin=&Apache::lonxml::get_param('xmin',$parstack,$safeeval,$level); 2186: $xmin=(defined($xmin)?$xmin:-10); 2187: my $xmax=&Apache::lonxml::get_param('xmax',$parstack,$safeeval,$level); 2188: $xmax=(defined($xmax)?$xmax:10); 2189: my $ymin=&Apache::lonxml::get_param('ymin',$parstack,$safeeval,$level); 2190: $ymin=(defined($ymin)?$ymin:-10); 2191: my $ymax=&Apache::lonxml::get_param('ymax',$parstack,$safeeval,$level); 2192: $ymax=(defined($ymax)?$ymax:10); 2193: if ($xmax<=$xmin) { 2194: $xmax=$xmin+20; 2195: } 2196: if ($ymax<=$ymin) { 2197: $ymax=$ymin+20; 2198: } 2199: return ($xmin,$xmax,$ymin,$ymax); 2200: } 2201: 2202: sub start_functionplotelements { 2203: my ($target,$token,$tagstack,$parstack,$parser,$safeeval,$style)=@_; 2204: my $result=''; 2205: my $id=$Apache::inputtags::response[-1]; 2206: my $partid=$Apache::inputtags::part; 2207: my $internalid = $partid.'_'.$id; 2208: 2209: if ($target eq 'edit') { 2210: return &Apache::edit::start_table($token). 2211: '<tr><td><span class="LC_nobreak">'.&mt('Function Plot Elements').'</span></td>' 2212: .'<td><span class="LC_nobreak">'.&mt('Delete?').' ' 2213: .&Apache::edit::deletelist($target,$token).'   '. 2214: &Apache::edit::insertlist($target,$token).'   ' 2215: .&Apache::loncommon::help_open_topic('Function_Plot_Response_Elements','Function Plot Elements') 2216: .'</span></td>' 2217: ."<td> " 2218: .&Apache::edit::end_row() 2219: .&Apache::edit::start_spanning_row() 2220: ."\n"; 2221: } elsif ($target eq 'web') { 2222: my ($xmin,$xmax,$ymin,$ymax)=&boundaries($parstack,$safeeval,-2); 2223: my $xaxisvisible=(&Apache::lonxml::get_param('xaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2224: my $yaxisvisible=(&Apache::lonxml::get_param('yaxisvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2225: my $gridvisible=(&Apache::lonxml::get_param('gridvisible',$parstack,$safeeval,-2)=~/on|true|yes|1/i?'true':'false'); 2226: my $xlabel=&Apache::lonxml::get_param('xlabel',$parstack,$safeeval,-2); 2227: my $ylabel=&Apache::lonxml::get_param('ylabel',$parstack,$safeeval,-2); 2228: 2229: 2230: # paste in the update routine to receive stuff back from the applet 2231: $result.=&update_script($internalid); 2232: # start the initscript for this applet 2233: $result.=&start_init_script($internalid); 2234: # put the axis commands inside 2235: $result.=&axes_script($internalid,$xmin,$xmax,$ymin,$ymax,$xaxisvisible,$yaxisvisible,$gridvisible); 2236: $result.=&axes_label($internalid,$xmin,$xmax,$ymin,$ymax,$xlabel,$ylabel); 2237: # init script is left open 2238: } 2239: return $result; 2240: } 2241: 2242: 1; 2243: 2244: __END__ 2245: 2246: =head1 NAME 2247: 2248: Apache::functionplotresponse.pm; 2249: 2250: =head1 SYNOPSIS 2251: 2252: Handles tags associated with accepting function plots. 2253: 2254: This is part of the LearningOnline Network with CAPA project 2255: described at http://www.lon-capa.org. 2256: 2257: =head1 HANDLER SUBROUTINE 2258: 2259: start_functionplotresponse() 2260: 2261: =head1 OTHER SUBROUTINES 2262: 2263: =over 2264: 2265: =item end_functionplotresponse() 2266: 2267: =back 2268: 2269: =cut