1: # file name (temp): default_homework
2: # used by lonxml::xmlparse() as input variable $safeinit to Apache::run::run()
3: #
4: #
5: #init some globals
6: #
7: # Guy Albertelli
8: #
9: # 05/25/2001 H. K. Ng
10: # 05/31/2001 H. K. Ng
11: #
12: $RANDOMINIT=0;
13: $pi=atan2(1,1)*4;
14: $rad2deg=180.0/$pi;
15: $deg2rad=$pi/180.0;
16:
17: sub caparesponse_check {
18: my $answer=''; #done
19: my $type=''; #done
20: my $tol_type=''; # gets it's value from whether tol has a % or not done
21: my $tol=''; #done
22: my $sig=''; #done lowerbnd,upperbnd
23: my $sig_lbound=''; #done
24: my $sig_ubound=''; #done
25: my $ans_fmt='';
26: my $units=''; #done
27: my $calc='';
28: my ($response,$expr)=@_;
29:
30: ($answer,$type,$tol,$sig,$ans_fmt,
31: $units,$calc) = eval $expr.';return $answer,$type,$tol,$sig,$ans_fmt,$units,$calc';
32: #type's definitons come from capaParser.h
33: if ($type eq '' ) {
34: if ( $answer eq ($answer *1.0)) { $type = 2;
35: } else { $type = 3; }
36: } else {
37: if ($type eq 'cs') { $type = 4;
38: } elsif ($type eq 'ci') { $type = 3;
39: } elsif ($type eq 'mc') { $type = 5;
40: } elsif ($type eq 'fml') { $type = 8;
41: } elsif ($type eq 'subj') { $type = 7;
42: } else { return "ERROR: Unknown type of answer: $type" }
43: }
44:
45: if ($tol eq '') {
46: $tol=0.0;
47: $tol_type=1; #TOL_ABSOLUTE
48: } else {
49: if ($tol =~ /%$/) {
50: chop $tol;
51: $tol_type=2; #TOL_PERCENTAGE
52: } else {
53: $tol_type=1; #TOL_ABSOLUTE
54: }
55: }
56:
57: if ($sig eq '') {
58: $sig_lbound = 0; #SIG_LB_DEFAULT
59: $sig_ubound =15; #SIG_UB_DEFAULT
60: } else {
61: ($sig_lbound,$sig_ubound) = split /,/,$sig;
62: }
63: my $result = &caparesponse_capa_check_answer($response,$answer,$type,
64: $tol_type,$tol,
65: $sig_lbound,$sig_ubound,
66: $ans_fmt,$units,$calc);
67:
68: if ($result == '1') { $result='EXACT_ANS'; }
69: elsif ($result == '2') { $result='APPROX_ANS'; }
70: elsif ($result == '3') { $result='SIG_FAIL'; }
71: elsif ($result == '4') { $result='UNIT_FAIL'; }
72: elsif ($result == '5') { $result='NO_UNIT'; }
73: elsif ($result == '6') { $result='UNIT_OK'; }
74: elsif ($result == '7') { $result='INCORRECT'; }
75: elsif ($result == '8') { $result='UNIT_NOTNEEDED'; }
76: elsif ($result == '9') { $result='ANS_CNT_NOT_MATCH'; }
77: elsif ($result =='10') { $result='SUB_RECORDED'; }
78: elsif ($result =='11') { $result='BAD_FORMULA'; }
79: elsif ($result =='12') { $result='WANTED_NUMERIC'; }
80: else {$result = "ERROR: Unknown Result:$result:$@:";}
81:
82: return "$result:<br />Error $error:<br />Answer $answer:<br />Response $response:<br />$type|$tol|$tol_type|$sig:$sig_lbound:$sig_ubound|$units<br />";
83: }
84:
85: sub caparesponse_check_list {
86: my ($response,$expr)=@_;
87: my $result='';
88: my $aresult='';
89: my $current_answer;
90: my $answer = eval $expr.';return $answer';
91: my (@list) = eval $answer;
92: my (@responselist)=split /,/,$response;
93: my $unit='';
94: $result.="Final response :$responselist['-1']:<br />";
95: if ( $responselist['-1']=~ /(.*[^\s])\s+([^\s]+)/ ) {
96: $responselist['-1']=$1;
97: $unit=$2;
98: }
99: $result.="Final response :$responselist['-1']:<br />";
100: $unit=~s/\s//;
101: my $i=0;
102: my $awards='';
103: for ($i=0; $i<@list;$i++) {
104: if ($unit eq '') {
105: $aresult=&caparesponse_check($responselist[$i],
106: $expr.';my $answer='.$list[$i].';');
107: } else {
108: $aresult=&caparesponse_check($responselist[$i]." $unit",
109: $expr.';my $answer='.$list[$i].';');
110: }
111: my ($temp)=split /:/, $aresult;
112: $awards.="$temp,";
113: $result.=$aresult;
114: }
115: chop $awards;
116: return "$awards:<br />$result";
117: }
118:
119: sub tex {
120: if ( $external::target eq "tex" ) {
121: return @_[0];
122: } else {
123: return @_[1];
124: }
125: }
126:
127: sub var_in_tex {
128: if ( $external::target eq "tex" ) {
129: return @_[0];
130: } else {
131: return "";
132: }
133: }
134:
135: sub web {
136: if ( $external::target eq "tex" ) {
137: return @_[1];
138: } else {
139: if ( $external::target eq "web") {
140: return @_[0];
141: } else {
142: return @_[2];
143: }
144: }
145: }
146:
147: sub html {
148: if ( $external::target eq "web" ) {
149: return @_[0];
150: }
151: }
152:
153: sub problem {
154: return '1';
155: }
156:
157: sub hinton {
158: return 0;
159: }
160:
161: sub random {
162: my ($start,$end,$step)=@_;
163: if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; }
164: my $num=1+int(($end-$start)/$step);
165: my $result=$start + int(rand() * $num)*$step;
166: return $result;
167: }
168:
169: sub abs { abs(shift) }
170: sub sin { sin(shift) }
171: sub cos { cos(shift) }
172: sub exp { exp(shift) }
173: sub int { int(shift) }
174: sub log { log(shift) }
175: sub atan2 { atan2($_[0],$_[1]) }
176: sub sqrt { sqrt(shift) }
177:
178: sub tan { sin($_[0]) / cos($_[0]) }
179: #sub atan { atan2($_[0], 1); }
180: #sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
181: #sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
182:
183: sub log10 { log($_[0])/log(10); }
184:
185: sub factorial {
186: my $input = int(shift);
187: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
188: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
189: return 1 if $input == 0;
190: my $result = 1;
191: for (my $i=2; $i<=$input; $i++) { $result *= $i }
192: return $result;
193: }
194:
195: sub sgn {
196: return -1 if $_[0] < 0;
197: return 0 if $_[0] == 0;
198: return 1 if $_[0] > 0;
199: }
200:
201: sub min {
202: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
203: return shift @sorted;
204: }
205:
206: sub max {
207: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
208: return pop @sorted;
209: }
210:
211: sub roundto {
212: my ($input,$n) = @_;
213: return sprintf('%.'.$n.'f',$input);
214: }
215:
216: sub to_string {
217: my ($input,$n) = @_;
218: return sprintf('%'.$n,$input) if $n ne "";
219: return sprintf($input) if $n eq "";
220: }
221:
222: sub sub_string {
223: my ($str,$start,$len) = @_;
224: return substr($str,$start-1,$len);
225: }
226:
227: sub pow {return $_[0] ** $_[1]; }
228: sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (int($_[0])+ 1); }
229: sub floor {return int($_[0]); }
230:
231: sub format {
232: my ($value,$fmt)=@_;
233: return sprintf('%.'.$fmt,$value);
234: }
235:
236: sub map {
237: my $num = $#_/2;
238: my $i;
239: my @used;
240: my @permutation;
241: for ($i=0; $i < $num;) {
242: $rand = &random(1,$num,1);
243: if ( $used[$rand] == '0' ) {
244: $i++;
245: $used[$rand]='1';
246: $permutation[$i]=$rand;
247: }
248: }
249: for ( $i=1 ; $i<$num+1 ; $i++ ) {
250: ${$_[$permutation[$i]]}=$_[$i+$num]
251: }
252: }
253:
254: sub capa_id { return }
255:
256: sub problem { return }
257:
258: sub name{
259: my $fullname = &EXT('environment.lastname').', '.&EXT('environment.firstname').' '.&EXT('environment.middlename');
260: $fullname = "" if $fullname eq ", ";
261: $fullname =~ s/\%2d/-/;
262: return $fullname;
263: }
264:
265: sub student_number {
266: my $id = &EXT('environment.id');
267: $id = '' if $id eq "";
268: return $id;
269: }
270:
271: sub class {
272: my $course = &EXT('course.description');
273: $course = '' if $course eq "";
274: return $course;
275: }
276:
277: sub sec {
278: my $sec = &EXT('request.course.sec');
279: $sec = '' if $sec eq "";
280: return $sec;
281: }
282:
283: sub open_date {
284: my @dc = split(/\s+/,localtime(&EXT('resource.0.opendate')));
285: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
286: my @hm = split(/:/,$dc[3]);
287: my $ampm = " am";
288: if ($hm[0] > 12) {
289: $hm[0]-=12;
290: $ampm = " pm";
291: }
292: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
293: }
294:
295: sub due_date {
296: my @dc = split(/\s+/,localtime(&EXT('resource.0.duedate')));
297: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
298: my @hm = split(/:/,$dc[3]);
299: my $ampm = " am";
300: if ($hm[0] > 12) {
301: $hm[0]-=12;
302: $ampm = " pm";
303: }
304: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
305: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
306: }
307:
308: sub answer_date {
309: my @dc = split(/\s+/,localtime(&EXT('resource.0.answerdate')));
310: return '' if ($dc[0] eq "Wed" and $dc[2] == 31 and $dc[4] == 1969);
311: my @hm = split(/:/,$dc[3]);
312: my $ampm = " am";
313: if ($hm[0] > 12) {
314: $hm[0]-=12;
315: $ampm = " pm";
316: }
317: return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$hm[0].':'.$hm[1].$ampm;
318: # return $dc[0].', '.$dc[1].' '.$dc[2].', '.$dc[4].' at '.$dc[3];
319: }
320:
321: sub array_moments {
322: my @input=@_;
323: my (@output,$N);
324: $N=scalar (@input);
325: $output[0]=$N;
326: if ($N <= 1) {
327: $output[1]=$input[0];
328: $output[1] = "Input array not defined" if ($N == 0);
329: $output[2]="variance undefined for N<=1";
330: $output[3]="skewness undefined for N<=1";
331: $output[4]="kurtosis undefined for N<=1";
332: return @output;
333: }
334: my $sum=0;
335: foreach my $line (@input) {
336: $sum+=$line;
337: }
338: $output[1] = $sum/$N;
339: my ($x,$sdev,$var,$skew,$kurt) = 0;
340: foreach my $line (@input) {
341: $x=$line-$output[1];
342: $var+=$x**2;
343: $skew+=$x**3;
344: $kurt+=$x**4;
345: }
346: $output[2]=$var/($N-1);
347: $sdev=sqrt($output[2]);
348: if ($sdev == 0) {
349: $output[3]="inf-variance=0";
350: $output[4]="inf-variance=0";
351: return @output;
352: }
353: $output[3]=$skew/($sdev**3*$N);
354: $output[4]=$kurt/($sdev**4*$N)-3;
355: return @output;
356: }
357:
358: sub choose {
359: my $num = $_[0];
360: return $_[$num];
361: }
362:
363: #$external::randomseed=time;
364: #$a=2;
365: #$b=2;
366: #$c=2;
367: #&map(1,\$a,\$b,\$c,3,4,5);
368: #print $a."\n".$b."\n";
369:
370:
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