. ////// functions that traverse a unit tree // get names of units of a given type function units_of_type($unit, $type) { $names = array(); if (get_class($unit) == $type) { $names[] = $unit->name; } if (is_subclass_of($unit, "BoltSet")) { foreach ($unit->units as $u) { $n = units_of_type($u, $type); $names = array_merge($names, $n); } } return array_unique($names); } // show a menu of select units // function choose_select($top_unit) { echo ""; } // show a menu of exercise sets // function choose_xset($top_unit) { echo ""; } // Find a unit of given name // function lookup_unit($top_unit, $name) { if ($top_unit->name == $name) return $top_unit; if (is_subclass_of($top_unit, "BoltSet")) { foreach ($top_unit->units as $child) { $u = lookup_unit($child, $name); if ($u) return $u; } } return null; } ////// bits of HTML for getting user info function info_incomplete($user) { if (!$user->bolt->birth_year) return true; if (!$user->bolt->sex) return true; return false; } function birth_year_select($user) { $this_year = date("Y"); $x = "\n"; return $x; } function sex_select($user) { $x = "\n"; return $x; } function request_info($user, $course) { page_head("About you"); echo " You may optionally tell us some facts about yourself. This information will help us improve this course, and will be kept private.

id> "; start_table(); row2("Birth year", birth_year_select($user)); row2("Sex", sex_select($user)); row2("", ""); end_table(); echo "
\n"; page_tail(); } ////// stuff related to snapshots function compare_snapshot_filename($course_id, $select_name, $xset_name) { @mkdir("../bolt_snap"); $x = urlencode($course_id."_".$select_name."_".$xset_name); return "../bolt_snap/compare_snapshot_$x"; } // a "snapshot" is a condensed representation of the results // for a particular select/xset pair. // Namely, it's an array whose elements contain // bolt_user: the user // xset_result: the user's first completion of the xset // select_finished: the user's last completion of the select before this function write_compare_snapshot($course_id, $select_name, $xset_name, $dur) { $now = time(); $start = $now - $dur*86400; $xrs = BoltXsetResult::enum( "course_id=$course_id and name='$xset_name' and create_time >= $start" ); $sfs = BoltSelectFinished::enum( "course_id=$course_id and name='$select_name' and end_time >= $start" ); // make an array $a, keyed by user ID, of earliest xset result // $a = array(); foreach ($xrs as $xr) { $uid = $xr->user_id; if (!array_key_exists($uid, $a) || $xr->create_time < $a[$uid]->xr->create_time) { $x = null; $x->xr = $xr; $a[$uid] = $x; } } // now scan select finishes, and for each user find last one before xset // foreach ($sfs as $sf) { $uid = $sf->user_id; if (!array_key_exists($uid, $a)) { echo "no xset result"; continue; } $x = $a[$uid]; $xr = $x->xr; if ($sf->end_time > $xr->create_time) { //echo "select finish is too late"; continue; } if (!isset($x->sf) || $sf->end_time > $x->sf->end_time) { $x->sf = $sf; $a[$uid] = $x; } } // cull array elements for which we didn't find a select finish. // Look up user records for other elements. // foreach ($a as $uid=>$x) { if (!isset($x->sf)) { unset($a[$uid]); } else { $user = BoincUser::lookup_id($uid); BoltUser::lookup($user); $x->user = $user; $a[$uid] = $x; } } $filename = compare_snapshot_filename($course_id, $select_name, $xset_name); $f = fopen($filename, "w"); $s = null; $s->recs = $a; $s->dur = $dur; $s->time = $now; fwrite($f, serialize($s)); fclose($f); return $s; } function read_compare_snapshot($course_id, $select_name, $xset_name) { $filename = compare_snapshot_filename($course_id, $select_name, $xset_name); $f = @fopen($filename, "r"); if (!$f) return null; $x = fread($f, filesize($filename)); fclose($f); return unserialize($x); } function map_snapshot_filename($course_id) { return "../bolt_snap/map_snapshot_".$course_id; } // a "map snapshot" is: // - an assoc array "views" mapping unit name to a list of views // - an assoc array "results" mapping unit name to a list of results // - an assoc array "xset_results" mapping unit name to a list of xset results // - an assoc array "users" mapping user ID to user record // function write_map_snapshot($course_id, $dur) { $now = time(); $start = $now - $dur*86400; $views = array(); $results = array(); $xset_results = array(); $users = array(); $vs = BoltView::enum("course_id=$course_id and start_time>$start"); foreach ($vs as $v) { if (array_key_exists($v->item_name, $views)) { $x = $views[$v->item_name]; $x[] = $v; $views[$v->item_name] = $x; } else { $views[$v->item_name] = array($v); } if (!array_key_exists($v->user_id, $users)) { $user = BoincUser::lookup_id($v->user_id); BoltUser::lookup($user); $users[$v->user_id] = $user; } } $rs = BoltResult::enum("course_id=$course_id and create_time>$start"); foreach ($rs as $r) { if (array_key_exists($r->item_name, $results)) { $x = $results[$r->item_name]; $x[] = $r; $results[$r->item_name] = $x; } else { $results[$r->item_name] = array($r); } if (!array_key_exists($r->user_id, $users)) { $user = BoincUser::lookup_id($r->user_id); BoltUser::lookup($user); $users[$r->user_id] = $user; } } $xrs = BoltXsetResult::enum("course_id=$course_id and create_time>$start"); foreach ($xrs as $xr) { if (array_key_exists($xr->name, $xset_results)) { $x = $xset_results[$xr->name]; $x[] = $xr; $xset_results[$xr->name] = $x; } else { $xset_results[$xr->name] = array($xr); } if (!array_key_exists($xr->user_id, $users)) { $user = BoincUser::lookup_id($xr->user_id); BoltUser::lookup($user); $users[$xr->user_id] = $user; } } $y = null; $y->views = $views; $y->results = $results; $y->xset_results = $xset_results; $y->users = $users; $y->dur = $dur; $y->time = $now; $filename = map_snapshot_filename($course_id); $f = fopen($filename, "w"); fwrite($f, serialize($y)); fclose($f); return $y; } function read_map_snapshot($course_id) { $filename = map_snapshot_filename($course_id); $f = @fopen($filename, "r"); if (!$f) return null; $x = fread($f, filesize($filename)); fclose($f); return unserialize($x); } ////// Statistics // compute the mean and stdev of an array // function mean_stdev($array, &$mean, &$stdev) { $n = 0; $m = 0; $m2 = 0; foreach ($array as $x) { $n++; $delta = $x - $m; $m += $delta/$n; $m2 += $delta*($x-$m); } $mean = $m; $stdev = sqrt($m2/($n-1)); } // approximate the 90% confidence interval for the mean of an array // function conf_int_90($array, &$lo, &$hi) { $n = count($array); mean_stdev($array, $mean, $stdev); // I'm too lazy to compute the t distribution $t_90 = 1.7; $d = $t_90 * $stdev / sqrt($n); $lo = $mean - $d; $hi = $mean + $d; } function test_stats() { $a = array(1,1,1,1,0,1,1,1,3, 1, 1, 1, 1); mean_stdev($a, $mean, $stdev); echo "mean: $mean stdev: $stdev\n"; conf_int_90($a, $lo, $hi); echo "lo $lo hi $hi\n"; } //////////// graph drawing function compare_bar($title, $n, $width, $lo, $hi) { $x1 = $width*$lo; $x2 = $width*($hi-$lo); $a1 = number_format($lo*100); $a2 = number_format($hi*100); return " $title
($n students)
$a1 $a2
"; } function compare_bar_insuff($title, $width) { return " $title
Insufficient data
"; } function outcome_graph($x, $width) { $n = $x[0]+$x[1]+$x[2]; if (!$n) return empty_cell(); $x0 = $width*$x[1]/$n; $x1 = $width*$x[0]/$n; $x2 = $width*$x[2]/$n; if ($x[1]/$n>0.05) { $t0 = number_format(100*$x[1]/$n)."%"; } else { $t0 = ""; } $s = " "; if ($x0) { $s .= " "; } if ($x1) { $s .= " "; } if ($x2) { $s .= " "; } $s .= "
$t0

"; return $s; } function time_graph($t, $w) { if ($t == 0) return "---"; $x = (log10($t)+2)*$w/4; $t = number_format($t, 1); return "
$t sec
"; } function score_graph($t, $w) { if ($t == 0) return "---"; $x = $t*$w; $y = (1-$t)*$w; $t = number_format($t*100); $s = " "; if ($x) { $s .= " "; } if ($y) { $s .= " "; } $s .= "
$t%
"; return $s; } function empty_cell() { return "
"; } function empty_row() { return "
"; } //////////// show refresh schedule ////////////// function show_refresh($r) { echo " $r->name ".time_str($r->due_time)." course_id&refresh_id=$r->id&action=start>Start | course_id&refresh_id=$r->id&action=resume>Resume "; } function show_refreshes() { global $user; global $course; $refreshes = BoltRefreshRec::enum("user_id=$user->id and course_id=$course->id"); if (!count($refreshes)) return; start_table(); echo "Refresh schedule\n"; foreach ($refreshes as $r) { show_refresh($r); } end_table(); } function bolt_style() { echo " "; } ?>