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: #use Math::Trig;
7: #
8: # Guy Albertelli
9: #
10: # 05/25/2001 H. K. Ng
11: #
12: $RANDOMINIT=0;
13: $pi=atan2(1,1)*4;
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 web {
126: if ( $external::target eq "tex" ) {
127: return @_[1];
128: } else {
129: if ( $external::target eq "web") {
130: return @_[0];
131: } else {
132: return @_[2];
133: }
134: }
135: }
136:
137: sub problem {
138: return '1';
139: }
140:
141: sub hinton {
142: return 0;
143: }
144:
145: sub random {
146: my ($start,$end,$step)=@_;
147: if ( ! $RANDOMINIT ) { srand($external::randomseed); $RANDOMINIT=1; }
148: my $num=1+int(($end-$start)/$step);
149: my $result=$start + int(rand() * $num)*$step;
150: return $result;
151: }
152:
153: sub tan { sin($_[0]) / cos($_[0]) }
154: sub atan { atan2($_[0], 1); }
155: sub acos { atan2(sqrt(1 - $_[0] * $_[0]), $_[0] ); }
156: sub asin { atan2($_[0], sqrt(1- $_[0] * $_[0]) ); }
157: sub log10 { log($_[0])/log(10); }
158: sub factorial {
159: my $input = int(shift);
160: return "Error - unable to take factorial of an negative number ($input)" if $input < 0;
161: return "Error - factorial result is greater than system limit ($input)" if $input > 170;
162: return 1 if $input == 0;
163: my $result = 1;
164: for (my $i=2; $i<=$input; $i++) { $result *= $i }
165: return $result;
166: }
167:
168: sub sgn {
169: return -1 if $_[0] < 0;
170: return 0 if $_[0] == 0;
171: return 1 if $_[0] > 0;
172: }
173:
174: sub min {
175: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
176: return shift @sorted;
177: }
178:
179: sub max {
180: my @sorted = sort { $a <=> $b || $a cmp $b } @_;
181: return pop @sorted;
182: }
183:
184: sub html {
185: if ( $external::target eq "web" ) {
186: return @_[0];
187: }
188: }
189:
190: sub roundto {
191: my ($input,$n) = @_;
192: return sprintf('%.'.$n.'f',$input);
193: }
194:
195: sub to_string {
196: my ($input,$n) = @_;
197: return sprintf('%'.$n,$input) if $n ne "";
198: return sprintf($input) if $n eq "";
199: }
200:
201: sub sub_string {
202: my ($str,$start,$len) = @_;
203: return substr($str,$start-1,$len);
204: }
205:
206: sub pow {return $_[0] ** $_[1]; }
207: sub ceil {return (($_[0]-int($_[0]))== 0.0) ? $_[0] : (int($_[0])+ 1); }
208: sub floor {return int($_[0]); }
209:
210: sub format {
211: my ($value,$fmt)=@_;
212: return sprintf('%.'.$fmt,$value);
213: }
214:
215: sub map {
216: my $num = $#_/2;
217: my $i;
218: my @used;
219: my @permutation;
220: for ($i=0; $i < $num;) {
221: $rand = &random(1,$num,1);
222: if ( $used[$rand] == '0' ) {
223: $i++;
224: $used[$rand]='1';
225: $permutation[$i]=$rand;
226: }
227: }
228: for ( $i=1 ; $i<$num+1 ; $i++ ) {
229: ${$_[$permutation[$i]]}=$_[$i+$num]
230: }
231: }
232:
233: sub choose {
234: my $num = $_[0];
235: return $_[$num];
236: }
237: #$external::randomseed=time;
238: #$a=2;
239: #$b=2;
240: #$c=2;
241: #&map(1,\$a,\$b,\$c,3,4,5);
242: #print $a."\n".$b."\n";
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