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