Annotation of loncom/homework/default_homework.lcpm, revision 1.70

1.42      albertel    1: # The LearningOnline Network with CAPA 
1.1       harris41    2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
1.42      albertel    3: #
1.70    ! albertel    4: # $Id: default_homework.lcpm,v 1.69 2004/02/18 22:49:32 albertel Exp $
1.42      albertel    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: #
1.20      harris41   28: #
                     29: # Guy Albertelli
                     30: #
                     31: # 05/25/2001 H. K. Ng
1.24      ng         32: # 05/31/2001 H. K. Ng
1.44      matthew    33: # 12/21/2001 Matthew
1.20      harris41   34: #
1.25      albertel   35: #init some globals
1.38      albertel   36: $hidden::RANDOMINIT=0;
1.22      ng         37: $pi=atan2(1,1)*4;
                     38: $rad2deg=180.0/$pi;
                     39: $deg2rad=$pi/180.0;
1.44      matthew    40: $"=' ';
1.3       albertel   41: 
1.7       albertel   42: sub caparesponse_check {
1.36      albertel   43:   #not properly used yet: calc
                     44:   #not to be used: $ans_fmt
1.64      albertel   45:   my ($type,$tol,$sig,$ans_fmt,$unit,$calc,$samples) =
                     46:     eval $_[2].
1.70    ! albertel   47:       ';return ($__LC__type,$__LC__tol,$__LC__sig,$__LC__ans_fmt,$__LC__unit,$__LC__calc,$__LC__samples);';
1.36      albertel   48: 
1.10      albertel   49:   my $tol_type=''; # gets it's value from whether tol has a % or not done
1.19      albertel   50:   my $sig_lbound=''; #done
                     51:   my $sig_ubound=''; #done
1.64      albertel   52:   my ($answer,$response,$expr)=@_;
1.31      albertel   53: 
1.32      albertel   54: 
1.8       albertel   55:   #type's definitons come from capaParser.h
1.31      albertel   56:   my $message='';
1.32      albertel   57:   #remove leading and trailing whitespace
                     58:   if ($response=~ /^\s|\s$/) {
                     59:     $response=~ s:^\s+|\s+$::g;
1.52      albertel   60:     $message .="Removed ws now :$response:\n";
1.32      albertel   61:   } else {
1.52      albertel   62:     $message .="no ws in :$response:\n";
1.32      albertel   63:   }
1.62      albertel   64: 
                     65:   if (length($response) > 500) { return "TOO_LONG: Answer too long"; }
1.32      albertel   66: 
1.8       albertel   67:   if ($type eq '' ) {
1.52      albertel   68:     $message .= "Didn't find a type :$type:$expr: defaulting\n";
1.8       albertel   69:     if ( $answer eq ($answer *1.0)) { $type = 2;
                     70:     } else { $type = 3; }
                     71:   } else {
                     72:          if ($type eq 'cs')    { $type = 4;
                     73:     } elsif ($type eq 'ci')    { $type = 3;
                     74:     } elsif ($type eq 'mc')    { $type = 5;
                     75:     } elsif ($type eq 'fml')   { $type = 8;
1.9       albertel   76:     } elsif ($type eq 'subj')  { $type = 7;
1.41      albertel   77:     } elsif ($type eq 'float') { $type = 2;
                     78:     } elsif ($type eq 'int')   { $type = 1;
1.9       albertel   79:     } else { return "ERROR: Unknown type of answer: $type" }
1.8       albertel   80:   }
                     81: 
1.39      albertel   82:   my $points;
                     83:   my $id_list;
                     84:   #formula type setup the sample points
                     85:   if ($type eq '8') {
                     86:     ($id_list,$points)=split(/@/,$samples);
1.61      albertel   87:     $message.="Found :$id_list:$points: points in $samples\n";
1.39      albertel   88:   }
1.10      albertel   89:   if ($tol eq '') {
                     90:     $tol=0.0;
                     91:     $tol_type=1; #TOL_ABSOLUTE
                     92:   } else {
                     93:     if ($tol =~ /%$/) {
1.12      albertel   94:       chop $tol;
1.10      albertel   95:       $tol_type=2; #TOL_PERCENTAGE
                     96:     } else {
                     97:       $tol_type=1; #TOL_ABSOLUTE
                     98:     }
                     99:   }
1.12      albertel  100: 
                    101:   if ($sig eq '') {
                    102:     $sig_lbound = 0; #SIG_LB_DEFAULT
                    103:     $sig_ubound =15; #SIG_UB_DEFAULT
                    104:   } else {
                    105:     ($sig_lbound,$sig_ubound) = split /,/,$sig;
1.53      albertel  106:     if (!defined($sig_lbound)) {
1.45      albertel  107:       $sig_lbound = 0; #SIG_LB_DEFAULT
                    108:       $sig_ubound =15; #SIG_UB_DEFAULT
                    109:     }
1.53      albertel  110:     if (!defined($sig_ubound)) { $sig_ubound=$sig_lbound; }
1.12      albertel  111:   }
1.7       albertel  112:   my $result = &caparesponse_capa_check_answer($response,$answer,$type,
1.10      albertel  113: 					       $tol_type,$tol,
1.7       albertel  114: 					       $sig_lbound,$sig_ubound,
1.39      albertel  115: 					       $ans_fmt,$unit,$calc,$id_list,
                    116: 					       $points,$external::randomseed);
1.9       albertel  117: 
                    118:   if    ($result == '1') { $result='EXACT_ANS'; } 
                    119:   elsif ($result == '2') { $result='APPROX_ANS'; }
                    120:   elsif ($result == '3') { $result='SIG_FAIL'; }
                    121:   elsif ($result == '4') { $result='UNIT_FAIL'; }
                    122:   elsif ($result == '5') { $result='NO_UNIT'; }
                    123:   elsif ($result == '6') { $result='UNIT_OK'; }
                    124:   elsif ($result == '7') { $result='INCORRECT'; }
                    125:   elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
                    126:   elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
                    127:   elsif ($result =='10') { $result='SUB_RECORDED'; }
                    128:   elsif ($result =='11') { $result='BAD_FORMULA'; }
                    129:   elsif ($result =='12') { $result='WANTED_NUMERIC'; }
1.13      albertel  130:   else  {$result = "ERROR: Unknown Result:$result:$@:";}
1.9       albertel  131: 
1.52      albertel  132:   return "$result:\nError $error:\nAnswer $answer:\nResponse $response:\n type-$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$unit|\n$message$expr";
1.14      albertel  133: }
                    134: 
1.37      albertel  135: sub get_array_args {
                    136:   my ($expr,$arg)=@_;
1.30      albertel  137:   # do these first, because who knows what varname the instructor might have used
                    138:   # but it probably isn't $CAPARESPONSE_CHECK_LIST_answer
1.63      albertel  139:   my $CAPARESPONSE_CHECK_LIST_answer = eval $expr.';return $'.$arg; #' stupid emacs
1.64      albertel  140:   my $GET_ARRAY_ARGS_result="expr is $expr\narg is $arg\nfirst answer guess is $CAPARESPONSE_CHECK_LIST_answer\n";
1.40      albertel  141:   my @GET_ARRAY_ARGS_list;
1.39      albertel  142:   if ($CAPARESPONSE_CHECK_LIST_answer =~ /^\s*[\$\@]/) {
1.40      albertel  143:     (@GET_ARRAY_ARGS_list) = eval $CAPARESPONSE_CHECK_LIST_answer;
1.39      albertel  144:   }
1.52      albertel  145:   $GET_ARRAY_ARGS_result.="error:$@:\n";
1.31      albertel  146:   # if the eval fails just use what is in the answer exactly
1.60      albertel  147:   if (!(@GET_ARRAY_ARGS_list) || !defined($GET_ARRAY_ARGS_list[0])) {
1.52      albertel  148:     $GET_ARRAY_ARGS_result.="list zero is undefined\n";
1.40      albertel  149:     $GET_ARRAY_ARGS_list[0]=$CAPARESPONSE_CHECK_LIST_answer;
1.31      albertel  150:   }
1.40      albertel  151:   return $GET_ARRAY_ARGS_result,@GET_ARRAY_ARGS_list;
1.37      albertel  152: }
                    153: 
                    154: sub caparesponse_check_list {
                    155:   my ($response,$expr)=@_;
1.64      albertel  156: #  $expr =~ s/\\/\\\\/g;
                    157: #  $expr =~ s/\'/\\\'/g;
                    158: #  my ($result,@list) = &get_array_args($expr,'answer');
                    159: #  $expr =~ s/\\\'/\'/g;
                    160: #  $expr =~ s/\\\\/\\/g;
                    161:   my ($result,@list);
                    162:   @list=@CAPARESPONSE_CHECK_LIST_answer;
1.15      albertel  163:   my $aresult='';
1.14      albertel  164:   my $current_answer;
1.39      albertel  165:   my $answers=join(':',@list);
1.52      albertel  166:   $result.="Got response :$answers:\n";
1.31      albertel  167:   my @responselist;
1.70    ! albertel  168:   my $type =eval $expr.';return $__LC__type;';
        !           169:   $result.="Got type :$type:\n";
1.31      albertel  170:   if ($type ne '' && $#list > 0) {
                    171:     (@responselist)=split /,/,$response;
                    172:   } else {
                    173:     (@responselist)=($response);
                    174:   }
1.15      albertel  175:   my $unit='';
1.52      albertel  176:   $result.="Initial final response :$responselist['-1']:\n";
1.64      albertel  177:   if ($type eq '' || $type eq 'float') {
1.31      albertel  178:     #for numerical problems split off the unit
                    179:     if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
                    180:       $responselist['-1']=$1;
                    181:       $unit=$2;
                    182:     }
1.15      albertel  183:   }
1.52      albertel  184:   $result.="Final final response :$responselist['-1']:\n";
                    185:   $result.=":$#list: answers\n";
1.14      albertel  186:   $unit=~s/\s//;
                    187:   my $i=0;
                    188:   my $awards='';
                    189:   for ($i=0; $i<@list;$i++) {
1.52      albertel  190:     $result.="trying answer :$list[$i]:\n";
1.57      albertel  191:     my $thisanswer=$list[$i];
1.64      albertel  192: #    $thisanswer=~ s/\\/\\\\/g;
                    193: #    $thisanswer =~ s/\'/\\\'/g;
                    194:     $result.="trying answer :$thisanswer:\n";
1.19      albertel  195:     if ($unit eq '') {
1.64      albertel  196:       $aresult=&caparesponse_check($thisanswer,$responselist[$i],
                    197: 			     $expr);
1.19      albertel  198:     } else {
1.64      albertel  199:       $aresult=&caparesponse_check($thisanswer,$responselist[$i]." $unit",
                    200: 				   $expr);
1.19      albertel  201:     }
1.15      albertel  202:     my ($temp)=split /:/, $aresult;
1.14      albertel  203:     $awards.="$temp,";
1.15      albertel  204:     $result.=$aresult;
1.14      albertel  205:   }
                    206:   chop $awards;
1.52      albertel  207:   return "$awards:\n$result";
1.7       albertel  208: }
                    209: 
1.4       albertel  210: sub tex {
                    211:   if ( $external::target eq "tex" ) {
1.58      albertel  212:     return $_[0];
1.4       albertel  213:   } else {
1.58      albertel  214:     return $_[1];
1.4       albertel  215:   }
                    216: }
                    217: 
1.24      ng        218: sub var_in_tex {
                    219:   if ( $external::target eq "tex" ) {
1.58      albertel  220:     return $_[0];
1.24      ng        221:   } else {
                    222:     return "";
                    223:   }
                    224: }
                    225: 
1.4       albertel  226: sub web {
                    227:   if ( $external::target eq "tex" ) {
1.58      albertel  228:     return $_[1];
1.4       albertel  229:   } else {
1.43      albertel  230:     if ( $external::target eq "web" || $external::target eq "answer") {
1.58      albertel  231:       return $_[2];
1.26      ng        232:     } else {
1.58      albertel  233:       return $_[0];
1.4       albertel  234:     }
                    235:   }
                    236: }
                    237: 
1.24      ng        238: sub html {
                    239:   if ( $external::target eq "web" ) {
1.26      ng        240:     return shift;
1.24      ng        241:   }
                    242: }
                    243: 
1.1       harris41  244: sub hinton {
                    245:   return 0;
                    246: }
                    247: 
                    248: sub random {
1.61      albertel  249:     my ($start,$end,$step)=@_;
                    250:     if ( ! $hidden::RANDOMINIT ) {
                    251: 	if ($external::randomseed == 0) { $external::randomseed=1; }
                    252: 	if ($external::randomseed =~/,/) {
                    253: 	    my ($num1,$num2)=split(/,/,$seed);
                    254: 	    &random_set_seed(abs($num1),abs($num2));
                    255: 	} else {
                    256: 	    &random_set_seed(1,int(abs($external::randomseed)));
                    257: 	}
                    258: 	&math_random_uniform();
                    259: 	$hidden::RANDOMINIT=1;
                    260:     }
                    261:     if (!defined($step)) { $step=1; }
                    262:     my $num=1+int(($end-$start)/$step);
                    263:     my $result=$start + int(&math_random_uniform() * $num)*$step;
                    264:     return $result;
1.1       harris41  265: }
                    266: 
1.26      ng        267: sub random_normal {
                    268:   my ($item_cnt,$seed,$av,$std_dev) = @_;
1.51      albertel  269:   my @oldseed=&random_get_seed();
1.26      ng        270:   my @retArray;
                    271:   &random_set_seed_from_phrase($seed);
                    272:   @retArray=&math_random_normal($item_cnt,$av,$std_dev);
1.51      albertel  273:   &random_set_seed(@oldseed);
1.26      ng        274:   return @retArray;
                    275: }
                    276: 
                    277: sub random_beta {
                    278:   my ($item_cnt,$seed,$aa,$bb) = @_;
1.51      albertel  279:   my @oldseed=&random_get_seed();
1.26      ng        280:   my @retArray;
                    281:   &random_set_seed_from_phrase($seed);
                    282:   @retArray=&math_random_beta($item_cnt,$aa,$bb);
1.51      albertel  283:   &random_set_seed(@oldseed);
1.26      ng        284:   return @retArray;
                    285: }
                    286: 
                    287: sub random_gamma {
                    288:   my ($item_cnt,$seed,$a,$r) = @_;
1.51      albertel  289:   my @oldseed=&random_get_seed();
1.26      ng        290:   my @retArray;
                    291:   &random_set_seed_from_phrase($seed);
                    292:   @retArray=&math_random_gamma($item_cnt,$a,$r);
1.51      albertel  293:   &random_set_seed(@oldseed);
1.26      ng        294:   return @retArray;
                    295: }
                    296: 
                    297: sub random_exponential {
                    298:   my ($item_cnt,$seed,$av) = @_;
1.51      albertel  299:   my @oldseed=&random_get_seed();
1.26      ng        300:   my @retArray;
                    301:   &random_set_seed_from_phrase($seed);
                    302:   @retArray=&math_random_exponential($item_cnt,$av);
1.51      albertel  303:   &random_set_seed(@oldseed);
1.26      ng        304:   return @retArray;
                    305: }
                    306: 
                    307: sub random_poisson {
                    308:   my ($item_cnt,$seed,$mu) = @_;
1.51      albertel  309:   my @oldseed=&random_get_seed();
1.26      ng        310:   my @retArray;
                    311:   &random_set_seed_from_phrase($seed);
                    312:   @retArray=&math_random_poisson($item_cnt,$mu);
1.51      albertel  313:   &random_set_seed(@oldseed);
1.26      ng        314:   return @retArray;
                    315: }
                    316: 
                    317: sub random_chi {
                    318:   my ($item_cnt,$seed,$df) = @_;
1.51      albertel  319:   my @oldseed=&random_get_seed();
1.26      ng        320:   my @retArray;
                    321:   &random_set_seed_from_phrase($seed);
                    322:   @retArray=&math_random_chi_square($item_cnt,$df);
1.51      albertel  323:   &random_set_seed(@oldseed);
1.26      ng        324:   return @retArray;
                    325: }
                    326: 
                    327: sub random_noncentral_chi {
                    328:   my ($item_cnt,$seed,$df,$nonc) = @_;
1.51      albertel  329:   my @oldseed=&random_get_seed();
1.26      ng        330:   my @retArray;
                    331:   &random_set_seed_from_phrase($seed);
                    332:   @retArray=&math_random_noncentral_chi_square($item_cnt,$df,$nonc);
1.51      albertel  333:   &random_set_seed(@oldseed);
1.26      ng        334:   return @retArray;
                    335: }
                    336: 
                    337: sub random_f {
                    338:   my ($item_cnt,$seed,$dfn,$dfd) = @_;
1.51      albertel  339:   my @oldseed=&random_get_seed();
1.26      ng        340:   my @retArray;
                    341:   &random_set_seed_from_phrase($seed);
                    342:   @retArray=&math_random_f($item_cnt,$dfn,$dfd);
1.51      albertel  343:   &random_set_seed(@oldseed);
1.26      ng        344:   return @retArray;
                    345: }
                    346: 
                    347: sub random_noncentral_f {
                    348:   my ($item_cnt,$seed,$dfn,$dfd,$nonc) = @_;
1.51      albertel  349:   my @oldseed=&random_get_seed();
1.26      ng        350:   my @retArray;
                    351:   &random_set_seed_from_phrase($seed);
                    352:   @retArray=&math_random_noncentral_f($item_cnt,$dfn,$dfd,$nonc);
1.51      albertel  353:   &random_set_seed(@oldseed);
1.26      ng        354:   return @retArray;
                    355: }
                    356: 
                    357: sub random_multivariate_normal {
1.33      ng        358:   my ($item_cnt,$seed,$mean,$covar) = @_;
1.51      albertel  359:   my @oldseed=&random_get_seed();
1.26      ng        360:   &random_set_seed_from_phrase($seed);
1.33      ng        361:   @retArray=&math_random_multivariate_normal($item_cnt,@$mean,@$covar);
1.51      albertel  362:   &random_set_seed(@oldseed);
1.26      ng        363:   return @retArray;
                    364: }
                    365: 
                    366: sub random_multinomial {
                    367:   my ($item_cnt,$seed,@p) = @_;
1.51      albertel  368:   my @oldseed=&random_get_seed();
1.26      ng        369:   my @retArray;
                    370:   &random_set_seed_from_phrase($seed);
                    371:   @retArray=&math_random_multinomial($item_cnt,@p);
1.51      albertel  372:   &random_set_seed(@oldseed);
1.26      ng        373:   return @retArray;
                    374: }
                    375: 
                    376: sub random_permutation {
                    377:   my ($seed,@inArray) = @_;
1.51      albertel  378:   my @oldseed=&random_get_seed();
1.26      ng        379:   my @retArray;
                    380:   &random_set_seed_from_phrase($seed);
                    381:   @retArray=&math_random_permutation(@inArray);
1.51      albertel  382:   &random_set_seed(@oldseed);
1.26      ng        383:   return @retArray;
                    384: }
                    385: 
                    386: sub random_uniform {
                    387:   my ($item_cnt,$seed,$low,$high) = @_;
1.51      albertel  388:   my @oldseed=&random_get_seed();
1.26      ng        389:   my @retArray;
                    390:   &random_set_seed_from_phrase($seed);
                    391:   @retArray=&math_random_uniform($item_cnt,$low,$high);
1.51      albertel  392:   &random_set_seed(@oldseed);
1.26      ng        393:   return @retArray;
                    394: }
                    395: 
                    396: sub random_uniform_integer {
                    397:   my ($item_cnt,$seed,$low,$high) = @_;
1.51      albertel  398:   my @oldseed=&random_get_seed();
1.26      ng        399:   my @retArray;
                    400:   &random_set_seed_from_phrase($seed);
                    401:   @retArray=&math_random_uniform_integer($item_cnt,$low,$high);
1.51      albertel  402:   &random_set_seed(@oldseed);
1.26      ng        403:   return @retArray;
                    404: }
                    405: 
                    406: sub random_binomial {
                    407:   my ($item_cnt,$seed,$nt,$p) = @_;
1.51      albertel  408:   my @oldseed=&random_get_seed();
1.26      ng        409:   my @retArray;
                    410:   &random_set_seed_from_phrase($seed);
                    411:   @retArray=&math_random_binomial($item_cnt,$nt,$p);
1.51      albertel  412:   &random_set_seed(@oldseed);
1.26      ng        413:   return @retArray;
                    414: }
                    415: 
                    416: sub random_negative_binomial {
                    417:   my ($item_cnt,$seed,$ne,$p) = @_;
1.51      albertel  418:   my @oldseed=&random_get_seed();
1.26      ng        419:   my @retArray;
                    420:   &random_set_seed_from_phrase($seed);
                    421:   @retArray=&math_random_negative_binomial($item_cnt,$ne,$p);
1.51      albertel  422:   &random_set_seed(@oldseed);
1.26      ng        423:   return @retArray;
                    424: }
                    425: 
1.23      ng        426: sub abs { abs(shift) }
                    427: sub sin { sin(shift) }
                    428: sub cos { cos(shift) }
                    429: sub exp { exp(shift) }
                    430: sub int { int(shift) }
                    431: sub log { log(shift) }
                    432: sub atan2 { atan2($_[0],$_[1]) }
                    433: sub sqrt { sqrt(shift) }
                    434: 
1.59      albertel  435: sub tan  { CORE::sin($_[0]) / CORE::cos($_[0]) }
1.21      harris41  436: #sub atan { atan2($_[0], 1); }
                    437: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
                    438: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) );  }
1.22      ng        439: 
1.59      albertel  440: sub log10 { CORE::log($_[0])/CORE::log(10); }
1.22      ng        441: 
1.20      harris41  442: sub factorial {
1.59      albertel  443:     my $input = CORE::int(shift);
1.20      harris41  444:     return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
                    445:     return "Error - factorial result is greater than system limit ($input)" if $input > 170;
                    446:     return 1 if $input == 0;
                    447:     my $result = 1; 
                    448:     for (my $i=2; $i<=$input; $i++) { $result *= $i }
                    449:     return $result;
                    450: }
                    451: 
                    452: sub sgn {
                    453:     return -1 if $_[0] < 0;
                    454:     return 0 if $_[0] == 0;
                    455:     return 1 if $_[0] > 0;
                    456: }
                    457: 
                    458: sub min {
                    459:     my @sorted = sort { $a <=> $b || $a cmp $b } @_;
                    460:     return shift @sorted;
                    461: }
                    462: 
                    463: sub max {
                    464:     my @sorted = sort { $a <=> $b || $a cmp $b } @_;
                    465:     return pop @sorted;
                    466: }
1.1       harris41  467: 
1.20      harris41  468: sub roundto {
                    469:     my ($input,$n) = @_;
                    470:     return sprintf('%.'.$n.'f',$input);
                    471: }
                    472: 
                    473: sub to_string {
                    474:     my ($input,$n) = @_;
1.26      ng        475:     return sprintf($input) if $n eq "";
                    476:     $n = '.'.$n if $n !~ /^\./;
1.20      harris41  477:     return sprintf('%'.$n,$input) if $n ne "";
                    478: }
                    479: 
                    480: sub sub_string {
                    481:     my ($str,$start,$len) = @_;
                    482:     return substr($str,$start-1,$len);
                    483: }
1.1       harris41  484: 
                    485: sub pow   {return $_[0] ** $_[1]; }
1.59      albertel  486: sub ceil  {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? (CORE::int($_[0])+ 1) : CORE::int($_[0])); }
                    487: sub floor  {return (($_[0]-CORE::int($_[0]))== 0.0) ? $_[0] : (($_[0] > 0) ? CORE::int($_[0]) : (CORE::int($_[0])-1)); }
1.27      ng        488: #sub floor {return int($_[0]); }
1.1       harris41  489: 
1.2       albertel  490: sub format {
                    491:   my ($value,$fmt)=@_;
1.48      albertel  492:   my $dollarmode;
                    493:   if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; } 
1.67      albertel  494:   $fmt=~s/e/E/g;
1.48      albertel  495:   my $result=sprintf('%.'.$fmt,$value);
1.50      albertel  496:   $result=~s/(E[+-]*)0/$1/;
1.48      albertel  497:   if ($dollarmode) {$result=&dollarmode($result);}
                    498:   return $result;
1.46      albertel  499: }
                    500: 
                    501: sub prettyprint {
1.69      albertel  502:   my ($value,$fmt,$target)=@_;
1.46      albertel  503:   my $result;
1.48      albertel  504:   my $dollarmode;
1.69      albertel  505:   if (!$target) { $target = $external::target; }
1.48      albertel  506:   if ($fmt =~ /^\$(.*)/) { $fmt=$1; $dollarmode=1; } 
1.46      albertel  507:   if ($fmt) { $value=sprintf('%.'.$fmt,$value); }
1.68      ng        508:   if ($value =~ /([0-9\.\-\+]+)E([0-9\-\+]+)/i ) {
1.46      albertel  509:     my $frac=$1;
1.48      albertel  510:     if ($dollarmode) { $frac=&dollarformat($frac); }
1.46      albertel  511:     my $exponent=$2;
                    512:     $exponent=~s/^\+0*//;
1.50      albertel  513:     $exponent=~s/^-0*/-/;
1.65      albertel  514:     $exponent=~s/^-0*/-/;
                    515:     if ($exponent eq '-') { undef($exponent); }
1.48      albertel  516:     if ($exponent) {
1.69      albertel  517:       if ($target eq 'web') {
1.48      albertel  518: 	$result=$frac.'&#215;10<sup>'.$exponent.'</sup>';
1.69      albertel  519:       } elsif ($target eq 'tex') {
1.48      albertel  520: 	$result='\ensuremath{'.$frac.'\times 10^{'.$exponent.'}}';
                    521:       } else {
                    522: 	$result=$value;
                    523:       }
1.46      albertel  524:     } else {
1.48      albertel  525:       $result=$frac;
1.46      albertel  526:     }
                    527:   } else {
                    528:     $result=$value;
1.69      albertel  529:     if ($dollarmode) { $result=&dollarformat($result,$target); }
1.46      albertel  530:   }
                    531:   return $result;
1.48      albertel  532: }
                    533: 
                    534: sub dollarformat {
1.69      albertel  535:   my ($number,$target) = @_;
                    536:   if (!$target) { $target = $external::target; }
1.48      albertel  537:   if ($number =~ /\./) {
                    538:     while ($number =~ /([^\.,]+)([^\.,][^\.,][^\.,])([,0-9]*\.[0-9]*$)/) {
                    539:       $number = $1.','.$2.$3;
                    540:     }
                    541:   } else {
                    542:     while ($number =~ /([^,]+)([^,][^,][^,])([,0-9]*)$/) {
                    543:       $number = $1.','.$2.$3;
                    544:     }
                    545:   }
1.69      albertel  546:   if ($target eq 'tex') {
1.48      albertel  547:     $number='\$'.$number; #' stupid emacs
                    548:   } else {
                    549:     $number='$'.$number; #' stupid emacs
                    550:   }
                    551:   return $number; 
1.2       albertel  552: }
1.5       albertel  553: 
                    554: sub map {
1.27      ng        555:     my ($phrase,$dest,$source)=@_;
1.51      albertel  556:     my @oldseed=&random_get_seed();
1.27      ng        557:     my @seed = &random_seed_from_phrase($phrase);
                    558:     &random_set_seed(@seed);
                    559:     my $destct = scalar(@$dest);
1.28      ng        560:     if (!$source) {
                    561: 	my @output;
                    562: 	my @idx = &math_random_permuted_index($destct);
                    563: 	my $ctr = 0;
                    564: 	while ($ctr < $destct) {
                    565: 	    $output[$ctr] = $$dest[$idx[$ctr]];
1.27      ng        566: 	    $ctr++;
1.28      ng        567: 	}
1.51      albertel  568:         &random_set_seed(@oldseed);
1.28      ng        569: 	return @output;
1.27      ng        570:     } else {
1.28      ng        571: 	my $num = scalar(@$source);
                    572: 	my @idx = &math_random_permuted_index($num);
                    573: 	my $ctr = 0;
                    574: 	my $tot = $num;
                    575: 	$tot = $destct if $destct < $num;
                    576: 	if (ref($$dest[0])) {
                    577: 	    while ($ctr < $tot) {
                    578: 		${$$dest[$ctr]} = $$source[$idx[$ctr]];
                    579: 	        $ctr++;
                    580:             }
                    581:         } else {
                    582: 	    while ($ctr < $tot) {
                    583: 		$$dest[$ctr] = $$source[$idx[$ctr]];
                    584: 		$ctr++;
                    585: 	    }
                    586: 	}
1.27      ng        587:     }
1.56      albertel  588:     &random_set_seed(@oldseed);
1.51      albertel  589:     return '';
1.27      ng        590: }
                    591: 
                    592: sub rmap {
                    593:     my ($phrase,$dest,$source)=@_;
1.51      albertel  594:     my @oldseed=&random_get_seed();
1.27      ng        595:     my @seed = &random_seed_from_phrase($phrase);
                    596:     &random_set_seed(@seed);
                    597:     my $destct = scalar(@$dest);
1.28      ng        598:     if (!$source) {
                    599: 	my @idx = &math_random_permuted_index($destct);
                    600: 	my $ctr = 0;
                    601: 	my @r_idx;
                    602: 	while ($ctr < $destct) {
                    603: 	    $r_idx[$idx[$ctr]] = $ctr;
                    604: 	    $ctr++;
                    605: 	}
                    606: 	my @output;
                    607: 	$ctr = 0;
                    608: 	while ($ctr < $destct) {
                    609: 	    $output[$ctr] = $$dest[$r_idx[$ctr]];
1.27      ng        610: 	    $ctr++;
1.28      ng        611: 	}
1.51      albertel  612:         &random_set_seed(@oldseed);
1.28      ng        613: 	return @output;
1.27      ng        614:     } else {
1.28      ng        615: 	my $num = scalar(@$source);
                    616: 	my @idx = &math_random_permuted_index($num);
                    617: 	my $ctr = 0;
                    618: 	my $tot = $num;
                    619: 	$tot = $destct if $destct < $num;
                    620: 	my @r_idx;
1.27      ng        621: 	while ($ctr < $tot) {
1.28      ng        622: 	    $r_idx[$idx[$ctr]] = $ctr;
1.27      ng        623: 	    $ctr++;
1.28      ng        624: 	}
                    625: 	$ctr = 0;
                    626: 	if (ref($$dest[0])) {
                    627: 	    while ($ctr < $tot) {
                    628: 		${$$dest[$ctr]} = $$source[$r_idx[$ctr]];
                    629: 	        $ctr++;
                    630:             }
                    631:         } else {
                    632: 	    while ($ctr < $tot) {
                    633: 		$$dest[$ctr] = $$source[$r_idx[$ctr]];
                    634: 		$ctr++;
                    635: 	    }
                    636: 	}
1.6       albertel  637:     }
1.51      albertel  638:     &random_set_seed(@oldseed);
                    639:     return '';
1.5       albertel  640: }
1.22      ng        641: 
1.23      ng        642: sub capa_id { return }
                    643: 
                    644: sub problem { return }
                    645: 
1.22      ng        646: sub name{
                    647:   my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
                    648:   $fullname = "" if $fullname eq ",  ";
1.26      ng        649:   $fullname =~ s/\%2d/-/g;
1.22      ng        650:   return $fullname;
                    651: }
                    652: 
                    653: sub student_number { 
                    654:   my $id = &EXT('environment.id');
                    655:   $id = '' if $id eq "";
                    656:   return $id;
                    657: }
                    658: 
                    659: sub class {
                    660:   my $course = &EXT('course.description');
                    661:   $course = '' if $course eq "";
                    662:   return $course;
                    663: }
                    664: 
                    665: sub sec { 
                    666:   my $sec = &EXT('request.course.sec');
1.23      ng        667:   $sec = '' if $sec eq "";
1.22      ng        668:   return $sec;
                    669: }
                    670: 
1.23      ng        671: sub open_date { 
                    672:   my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
1.24      ng        673:   return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
                    674:   my @hm = split(/:/,$dc[3]);
                    675:   my $ampm = " am";
                    676:   if ($hm[0] > 12) {
                    677:     $hm[0]-=12;
                    678:     $ampm = " pm";
                    679:   }
                    680:   return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
1.23      ng        681: }
                    682: 
                    683: sub due_date { 
                    684:   my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
1.24      ng        685:   return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
                    686:   my @hm = split(/:/,$dc[3]);
                    687:   my $ampm = " am";
                    688:   if ($hm[0] > 12) {
                    689:     $hm[0]-=12;
                    690:     $ampm = " pm";
                    691:   }
                    692:   return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
                    693: #  return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
1.23      ng        694: }
                    695: 
                    696: sub answer_date { 
                    697:   my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
1.24      ng        698:   return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
                    699:   my @hm = split(/:/,$dc[3]);
                    700:   my $ampm = " am";
                    701:   if ($hm[0] > 12) {
                    702:     $hm[0]-=12;
                    703:     $ampm = " pm";
                    704:   }
                    705:   return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
                    706: #  return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
                    707: }
                    708: 
                    709: sub array_moments {
                    710:   my @input=@_;
                    711:   my (@output,$N);
                    712:   $N=scalar (@input);
                    713:   $output[0]=$N;
                    714:   if ($N <= 1) {
                    715:     $output[1]=$input[0];
1.28      ng        716:     $output[1]="Input array not defined" if ($N == 0);
1.24      ng        717:     $output[2]="variance undefined for N<=1";
                    718:     $output[3]="skewness undefined for N<=1";
                    719:     $output[4]="kurtosis undefined for N<=1";
                    720:     return @output;
                    721:   }
                    722:   my $sum=0;
                    723:   foreach my $line (@input) {
                    724:     $sum+=$line;
                    725:   }
                    726:   $output[1] = $sum/$N;
                    727:   my ($x,$sdev,$var,$skew,$kurt) = 0;
                    728:   foreach my $line (@input) {
                    729:     $x=$line-$output[1];
                    730:     $var+=$x**2;
                    731:     $skew+=$x**3;
                    732:     $kurt+=$x**4;
                    733:   }
                    734:   $output[2]=$var/($N-1);
1.59      albertel  735:   $sdev=CORE::sqrt($output[2]);
1.24      ng        736:   if ($sdev == 0) {
                    737:      $output[3]="inf-variance=0";
                    738:      $output[4]="inf-variance=0";
                    739:      return @output;
                    740:   }
                    741:   $output[3]=$skew/($sdev**3*$N);
                    742:   $output[4]=$kurt/($sdev**4*$N)-3;
                    743:   return @output;
                    744: }
1.5       albertel  745: 
                    746: sub choose {
                    747:   my $num = $_[0];
                    748:   return $_[$num];
                    749: }
1.23      ng        750: 
1.49      albertel  751: # expiremental idea
                    752: sub proper_path {
                    753:   my ($path)=@_;
                    754:   if ( $external::target eq "tex" ) {
                    755:     return '/home/httpd/html'.$path;
                    756:   } else {
                    757:     return $path;
                    758:   }
                    759: }
1.23      ng        760: 

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