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66 aurelien 1
<?php
2
/*=======================================================================
3
 // File:        JPGRAPH_UTILS.INC
4
 // Description: Collection of non-essential "nice to have" utilities
5
 // Created:     2005-11-20
6
 // Ver:         $Id: jpgraph_utils.inc.php 1777 2009-08-23 17:34:36Z ljp $
7
 //
8
 // Copyright (c) Aditus Consulting. All rights reserved.
9
 //========================================================================
10
 */
11
 
12
//===================================================
13
// CLASS FuncGenerator
14
// Description: Utility class to help generate data for function plots.
15
// The class supports both parametric and regular functions.
16
//===================================================
17
class FuncGenerator {
18
    private $iFunc='',$iXFunc='',$iMin,$iMax,$iStepSize;
19
 
20
    function __construct($aFunc,$aXFunc='') {
21
        $this->iFunc = $aFunc;
22
        $this->iXFunc = $aXFunc;
23
    }
24
 
25
    function E($aXMin,$aXMax,$aSteps=50) {
26
        $this->iMin = $aXMin;
27
        $this->iMax = $aXMax;
28
        $this->iStepSize = ($aXMax-$aXMin)/$aSteps;
29
 
30
        if( $this->iXFunc != '' )
31
        $t = 'for($i='.$aXMin.'; $i<='.$aXMax.'; $i += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]='.$this->iXFunc.';}';
32
        elseif( $this->iFunc != '' )
33
        $t = 'for($x='.$aXMin.'; $x<='.$aXMax.'; $x += '.$this->iStepSize.') {$ya[]='.$this->iFunc.';$xa[]=$x;} $x='.$aXMax.';$ya[]='.$this->iFunc.';$xa[]=$x;';
34
        else
35
        JpGraphError::RaiseL(24001);//('FuncGenerator : No function specified. ');
36
 
37
        @eval($t);
38
 
39
        // If there is an error in the function specifcation this is the only
40
        // way we can discover that.
41
        if( empty($xa) || empty($ya) )
42
        JpGraphError::RaiseL(24002);//('FuncGenerator : Syntax error in function specification ');
43
 
44
        return array($xa,$ya);
45
    }
46
}
47
 
48
 
49
//=============================================================================
50
// CLASS DateScaleUtils
51
// Description: Help to create a manual date scale
52
//=============================================================================
53
define('DSUTILS_MONTH',1); // Major and minor ticks on a monthly basis
54
define('DSUTILS_MONTH1',1); // Major and minor ticks on a monthly basis
55
define('DSUTILS_MONTH2',2); // Major ticks on a bi-monthly basis
56
define('DSUTILS_MONTH3',3); // Major icks on a tri-monthly basis
57
define('DSUTILS_MONTH6',4); // Major on a six-monthly basis
58
define('DSUTILS_WEEK1',5); // Major ticks on a weekly basis
59
define('DSUTILS_WEEK2',6); // Major ticks on a bi-weekly basis
60
define('DSUTILS_WEEK4',7); // Major ticks on a quod-weekly basis
61
define('DSUTILS_DAY1',8); // Major ticks on a daily basis
62
define('DSUTILS_DAY2',9); // Major ticks on a bi-daily basis
63
define('DSUTILS_DAY4',10); // Major ticks on a qoud-daily basis
64
define('DSUTILS_YEAR1',11); // Major ticks on a yearly basis
65
define('DSUTILS_YEAR2',12); // Major ticks on a bi-yearly basis
66
define('DSUTILS_YEAR5',13); // Major ticks on a five-yearly basis
67
 
68
 
69
class DateScaleUtils {
70
    public static $iMin=0, $iMax=0;
71
 
72
    private static $starthour,$startmonth, $startday, $startyear;
73
    private static $endmonth, $endyear, $endday;
74
    private static $tickPositions=array(),$minTickPositions=array();
75
    private static $iUseWeeks = true;
76
 
77
    static function UseWeekFormat($aFlg) {
78
        self::$iUseWeeks = $aFlg;
79
    }
80
 
81
    static function doYearly($aType,$aMinor=false) {
82
        $i=0; $j=0;
83
        $m = self::$startmonth;
84
        $y = self::$startyear;
85
 
86
        if( self::$startday == 1 ) {
87
            self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
88
        }
89
        ++$m;
90
 
91
 
92
        switch( $aType ) {
93
            case DSUTILS_YEAR1:
94
                for($y=self::$startyear; $y <= self::$endyear; ++$y ) {
95
                    if( $aMinor ) {
96
                        while( $m <= 12 ) {
97
                            if( !($y == self::$endyear && $m > self::$endmonth) ) {
98
                                self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
99
                            }
100
                            ++$m;
101
                        }
102
                        $m=1;
103
                    }
104
                    self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
105
                }
106
                break;
107
            case DSUTILS_YEAR2:
108
                $y=self::$startyear;
109
                while( $y <= self::$endyear ) {
110
                    self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
111
                    for($k=0; $k < 1; ++$k ) {
112
                        ++$y;
113
                        if( $aMinor ) {
114
                            self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y);
115
                        }
116
                    }
117
                    ++$y;
118
                }
119
                break;
120
            case DSUTILS_YEAR5:
121
                $y=self::$startyear;
122
                while( $y <= self::$endyear ) {
123
                    self::$tickPositions[$i++] = mktime(0,0,0,1,1,$y);
124
                    for($k=0; $k < 4; ++$k ) {
125
                        ++$y;
126
                        if( $aMinor ) {
127
                            self::$minTickPositions[$j++] = mktime(0,0,0,1,1,$y);
128
                        }
129
                    }
130
                    ++$y;
131
                }
132
                break;
133
        }
134
    }
135
 
136
    static function doDaily($aType,$aMinor=false) {
137
        $m = self::$startmonth;
138
        $y = self::$startyear;
139
        $d = self::$startday;
140
        $h = self::$starthour;
141
        $i=0;$j=0;
142
 
143
        if( $h == 0 ) {
144
            self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y);
145
        }
146
        $t = mktime(0,0,0,$m,$d,$y);
147
 
148
        switch($aType) {
149
            case DSUTILS_DAY1:
150
                while( $t <= self::$iMax ) {
151
                    $t = strtotime('+1 day',$t);
152
                    self::$tickPositions[$i++] = $t;
153
                    if( $aMinor ) {
154
                        self::$minTickPositions[$j++] = strtotime('+12 hours',$t);
155
                    }
156
                }
157
                break;
158
            case DSUTILS_DAY2:
159
                while( $t <= self::$iMax ) {
160
                    $t = strtotime('+1 day',$t);
161
                    if( $aMinor ) {
162
                        self::$minTickPositions[$j++] = $t;
163
                    }
164
                    $t = strtotime('+1 day',$t);
165
                    self::$tickPositions[$i++] = $t;
166
                }
167
                break;
168
            case DSUTILS_DAY4:
169
                while( $t <= self::$iMax ) {
170
                    for($k=0; $k < 3; ++$k ) {
171
                        $t = strtotime('+1 day',$t);
172
                        if( $aMinor ) {
173
                            self::$minTickPositions[$j++] = $t;
174
                        }
175
                    }
176
                    $t = strtotime('+1 day',$t);
177
                    self::$tickPositions[$i++] = $t;
178
                }
179
                break;
180
        }
181
    }
182
 
183
    static function doWeekly($aType,$aMinor=false) {
184
        $hpd = 3600*24;
185
        $hpw = 3600*24*7;
186
        // Find out week number of min date
187
        $thursday = self::$iMin + $hpd * (3 - (date('w', self::$iMin) + 6) % 7);
188
        $week = 1 + (date('z', $thursday) - (11 - date('w', mktime(0, 0, 0, 1, 1, date('Y', $thursday)))) % 7) / 7;
189
        $daynumber = date('w',self::$iMin);
190
        if( $daynumber == 0 ) $daynumber = 7;
191
        $m = self::$startmonth;
192
        $y = self::$startyear;
193
        $d = self::$startday;
194
        $i=0;$j=0;
195
        // The assumption is that the weeks start on Monday. If the first day
196
        // is later in the week then the first week tick has to be on the following
197
        // week.
198
        if( $daynumber == 1 ) {
199
            self::$tickPositions[$i++] = mktime(0,0,0,$m,$d,$y);
200
            $t = mktime(0,0,0,$m,$d,$y) + $hpw;
201
        }
202
        else {
203
            $t = mktime(0,0,0,$m,$d,$y) + $hpd*(8-$daynumber);
204
        }
205
 
206
        switch($aType) {
207
            case DSUTILS_WEEK1:
208
                $cnt=0;
209
                break;
210
            case DSUTILS_WEEK2:
211
                $cnt=1;
212
                break;
213
            case DSUTILS_WEEK4:
214
                $cnt=3;
215
                break;
216
        }
217
        while( $t <= self::$iMax ) {
218
            self::$tickPositions[$i++] = $t;
219
            for($k=0; $k < $cnt; ++$k ) {
220
                $t += $hpw;
221
                if( $aMinor ) {
222
                    self::$minTickPositions[$j++] = $t;
223
                }
224
            }
225
            $t += $hpw;
226
        }
227
    }
228
 
229
    static function doMonthly($aType,$aMinor=false) {
230
        $monthcount=0;
231
        $m = self::$startmonth;
232
        $y = self::$startyear;
233
        $i=0; $j=0;
234
 
235
        // Skip the first month label if it is before the startdate
236
        if( self::$startday == 1 ) {
237
            self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
238
            $monthcount=1;
239
        }
240
        if( $aType == 1 ) {
241
            if( self::$startday < 15 ) {
242
                self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y);
243
            }
244
        }
245
        ++$m;
246
 
247
        // Loop through all the years included in the scale
248
        for($y=self::$startyear; $y <= self::$endyear; ++$y ) {
249
            // Loop through all the months. There are three cases to consider:
250
            // 1. We are in the first year and must start with the startmonth
251
            // 2. We are in the end year and we must stop at last month of the scale
252
            // 3. A year in between where we run through all the 12 months
253
            $stopmonth = $y == self::$endyear ? self::$endmonth : 12;
254
            while( $m <= $stopmonth ) {
255
                switch( $aType ) {
256
                    case DSUTILS_MONTH1:
257
                        // Set minor tick at the middle of the month
258
                        if( $aMinor ) {
259
                            if( $m <= $stopmonth ) {
260
                                if( !($y==self::$endyear && $m==$stopmonth && self::$endday < 15) )
261
                                self::$minTickPositions[$j++] = mktime(0,0,0,$m,15,$y);
262
                            }
263
                        }
264
                        // Major at month
265
                        // Get timestamp of first hour of first day in each month
266
                        self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
267
 
268
                        break;
269
                    case DSUTILS_MONTH2:
270
                        if( $aMinor ) {
271
                            // Set minor tick at start of each month
272
                            self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
273
                        }
274
 
275
                        // Major at every second month
276
                        // Get timestamp of first hour of first day in each month
277
                        if( $monthcount % 2 == 0 ) {
278
                            self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
279
                        }
280
                        break;
281
                    case DSUTILS_MONTH3:
282
                        if( $aMinor ) {
283
                            // Set minor tick at start of each month
284
                            self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
285
                        }
286
                        // Major at every third month
287
                        // Get timestamp of first hour of first day in each month
288
                        if( $monthcount % 3 == 0 ) {
289
                            self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
290
                        }
291
                        break;
292
                    case DSUTILS_MONTH6:
293
                        if( $aMinor ) {
294
                            // Set minor tick at start of each month
295
                            self::$minTickPositions[$j++] = mktime(0,0,0,$m,1,$y);
296
                        }
297
                        // Major at every third month
298
                        // Get timestamp of first hour of first day in each month
299
                        if( $monthcount % 6 == 0 ) {
300
                            self::$tickPositions[$i++] = mktime(0,0,0,$m,1,$y);
301
                        }
302
                        break;
303
                }
304
                ++$m;
305
                ++$monthcount;
306
            }
307
            $m=1;
308
        }
309
 
310
        // For the case where all dates are within the same month
311
        // we want to make sure we have at least two ticks on the scale
312
        // since the scale want work properly otherwise
313
        if(self::$startmonth == self::$endmonth && self::$startyear == self::$endyear && $aType==1 ) {
314
            self::$tickPositions[$i++] = mktime(0 ,0 ,0, self::$startmonth + 1, 1, self::$startyear);
315
        }
316
 
317
        return array(self::$tickPositions,self::$minTickPositions);
318
    }
319
 
320
    static function GetTicks($aData,$aType=1,$aMinor=false,$aEndPoints=false) {
321
        $n = count($aData);
322
        return self::GetTicksFromMinMax($aData[0],$aData[$n-1],$aType,$aMinor,$aEndPoints);
323
    }
324
 
325
    static function GetAutoTicks($aMin,$aMax,$aMaxTicks=10,$aMinor=false) {
326
        $diff = $aMax - $aMin;
327
        $spd = 3600*24;
328
        $spw = $spd*7;
329
        $spm = $spd*30;
330
        $spy = $spd*352;
331
 
332
        if( self::$iUseWeeks )
333
        $w = 'W';
334
        else
335
        $w = 'd M';
336
 
337
        // Decision table for suitable scales
338
        // First value: Main decision point
339
        // Second value: Array of formatting depending on divisor for wanted max number of ticks. <divisor><formatting><format-string>,..
340
        $tt = array(
341
            array($spw, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',-1,DSUTILS_DAY4,'d M')),
342
            array($spm, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,-1,DSUTILS_WEEK2,$w)),
343
            array($spy, array(1,DSUTILS_DAY1,'d M',2,DSUTILS_DAY2,'d M',4,DSUTILS_DAY4,'d M',7,DSUTILS_WEEK1,$w,14,DSUTILS_WEEK2,$w,30,DSUTILS_MONTH1,'M',60,DSUTILS_MONTH2,'M',-1,DSUTILS_MONTH3,'M')),
344
            array(-1, array(30,DSUTILS_MONTH1,'M-Y',60,DSUTILS_MONTH2,'M-Y',90,DSUTILS_MONTH3,'M-Y',180,DSUTILS_MONTH6,'M-Y',352,DSUTILS_YEAR1,'Y',704,DSUTILS_YEAR2,'Y',-1,DSUTILS_YEAR5,'Y')));
345
 
346
        $ntt = count($tt);
347
        $nd = floor($diff/$spd);
348
        for($i=0; $i < $ntt; ++$i ) {
349
            if( $diff <= $tt[$i][0] || $i==$ntt-1) {
350
                $t = $tt[$i][1];
351
                $n = count($t)/3;
352
                for( $j=0; $j < $n; ++$j ) {
353
                    if( $nd/$t[3*$j] <= $aMaxTicks || $j==$n-1) {
354
                        $type = $t[3*$j+1];
355
                        $fs = $t[3*$j+2];
356
                        list($tickPositions,$minTickPositions) = self::GetTicksFromMinMax($aMin,$aMax,$type,$aMinor);
357
                        return array($fs,$tickPositions,$minTickPositions,$type);
358
                    }
359
                }
360
            }
361
        }
362
    }
363
 
364
    static function GetTicksFromMinMax($aMin,$aMax,$aType,$aMinor=false,$aEndPoints=false) {
365
        self::$starthour = date('G',$aMin);
366
        self::$startmonth = date('n',$aMin);
367
        self::$startday = date('j',$aMin);
368
        self::$startyear = date('Y',$aMin);
369
        self::$endmonth = date('n',$aMax);
370
        self::$endyear = date('Y',$aMax);
371
        self::$endday = date('j',$aMax);
372
        self::$iMin = $aMin;
373
        self::$iMax = $aMax;
374
 
375
        if( $aType <= DSUTILS_MONTH6 ) {
376
            self::doMonthly($aType,$aMinor);
377
        }
378
        elseif( $aType <= DSUTILS_WEEK4 ) {
379
            self::doWeekly($aType,$aMinor);
380
        }
381
        elseif( $aType <= DSUTILS_DAY4 ) {
382
            self::doDaily($aType,$aMinor);
383
        }
384
        elseif( $aType <= DSUTILS_YEAR5 ) {
385
            self::doYearly($aType,$aMinor);
386
        }
387
        else {
388
            JpGraphError::RaiseL(24003);
389
        }
390
        // put a label at the very left data pos
391
        if( $aEndPoints ) {
392
            $tickPositions[$i++] = $aData[0];
393
        }
394
 
395
        // put a label at the very right data pos
396
        if( $aEndPoints ) {
397
            $tickPositions[$i] = $aData[$n-1];
398
        }
399
 
400
        return array(self::$tickPositions,self::$minTickPositions);
401
    }
402
}
403
 
404
//=============================================================================
405
// Class ReadFileData
406
//=============================================================================
407
Class ReadFileData {
408
    //----------------------------------------------------------------------------
409
    // Desciption:
410
    // Read numeric data from a file.
411
    // Each value should be separated by either a new line or by a specified
412
    // separator character (default is ',').
413
    // Before returning the data each value is converted to a proper float
414
    // value. The routine is robust in the sense that non numeric data in the
415
    // file will be discarded.
416
    //
417
    // Returns:
418
    // The number of data values read on success, FALSE on failure
419
    //----------------------------------------------------------------------------
420
    static function FromCSV($aFile,&$aData,$aSepChar=',',$aMaxLineLength=1024) {
421
        $rh = @fopen($aFile,'r');
422
        if( $rh === false ) {
423
                return false;
424
        }
425
        $tmp = array();
426
        $lineofdata = fgetcsv($rh, 1000, ',');
427
        while ( $lineofdata !== FALSE) {
428
            $tmp = array_merge($tmp,$lineofdata);
429
            $lineofdata = fgetcsv($rh, $aMaxLineLength, $aSepChar);
430
        }
431
        fclose($rh);
432
 
433
        // Now make sure that all data is numeric. By default
434
        // all data is read as strings
435
        $n = count($tmp);
436
        $aData = array();
437
        $cnt=0;
438
        for($i=0; $i < $n; ++$i) {
439
            if( $tmp[$i] !== "" ) {
440
                $aData[$cnt++] = floatval($tmp[$i]);
441
            }
442
        }
443
        return $cnt;
444
    }
445
 
446
    //----------------------------------------------------------------------------
447
    // Desciption:
448
    // Read numeric data from a file.
449
    // Each value should be separated by either a new line or by a specified
450
    // separator character (default is ',').
451
    // Before returning the data each value is converted to a proper float
452
    // value. The routine is robust in the sense that non numeric data in the
453
    // file will be discarded.
454
    //
455
    // Options:
456
    // 'separator'     => ',',
457
    // 'enclosure'     => '"',
458
    // 'readlength'    => 1024,
459
    // 'ignore_first'  => false,
460
    // 'first_as_key'  => false
461
    // 'escape'        => '\',   # PHP >= 5.3 only
462
    //
463
    // Returns:
464
    // The number of lines read on success, FALSE on failure
465
    //----------------------------------------------------------------------------
466
    static function FromCSV2($aFile, &$aData, $aOptions = array()) {
467
        $aDefaults = array(
468
            'separator'     => ',',
469
            'enclosure'     => chr(34),
470
            'escape'        => chr(92),
471
            'readlength'    => 1024,
472
            'ignore_first'  => false,
473
            'first_as_key'  => false
474
            );
475
 
476
        $aOptions = array_merge(
477
            $aDefaults, is_array($aOptions) ? $aOptions : array());
478
 
479
        if( $aOptions['first_as_key'] ) {
480
            $aOptions['ignore_first'] =  true;
481
        }
482
 
483
        $rh = @fopen($aFile, 'r');
484
 
485
        if( $rh === false ) {
486
            return false;
487
        }
488
 
489
        $aData  = array();
490
        $aLine  = fgetcsv($rh,
491
                          $aOptions['readlength'],
492
                          $aOptions['separator'],
493
                          $aOptions['enclosure']
494
                          /*, $aOptions['escape']     # PHP >= 5.3 only */
495
                          );
496
 
497
        // Use numeric array keys for the columns by default
498
        // If specified use first lines values as assoc keys instead
499
        $keys = array_keys($aLine);
500
        if( $aOptions['first_as_key'] ) {
501
            $keys = array_values($aLine);
502
        }
503
 
504
        $num_lines = 0;
505
        $num_cols  = count($aLine);
506
 
507
        while ($aLine !== false) {
508
            if( is_array($aLine) && count($aLine) != $num_cols ) {
509
                JpGraphError::RaiseL(24004);
510
                // 'ReadCSV2: Column count mismatch in %s line %d'
511
            }
512
 
513
            // fgetcsv returns NULL for empty lines
514
            if( !is_null($aLine) ) {
515
                $num_lines++;
516
 
517
                if( !($aOptions['ignore_first'] && $num_lines == 1) && is_numeric($aLine[0]) ) {
518
                    for( $i = 0; $i < $num_cols; $i++ ) {
519
                        $aData[ $keys[$i] ][] = floatval($aLine[$i]);
520
                    }
521
                }
522
            }
523
 
524
            $aLine = fgetcsv($rh,
525
                             $aOptions['readlength'],
526
                             $aOptions['separator'],
527
                             $aOptions['enclosure']
528
                             /*, $aOptions['escape']     # PHP >= 5.3 only*/
529
                );
530
        }
531
 
532
        fclose($rh);
533
 
534
        if( $aOptions['ignore_first'] ) {
535
            $num_lines--;
536
        }
537
 
538
        return $num_lines;
539
    }
540
 
541
    // Read data from two columns in a plain text file
542
    static function From2Col($aFile, $aCol1, $aCol2, $aSepChar=' ') {
543
        $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
544
        if( $lines === false ) {
545
                return false;
546
        }
547
        $s = '/[\s]+/';
548
        if( $aSepChar == ',' ) {
549
                        $s = '/[\s]*,[\s]*/';
550
        }
551
        elseif( $aSepChar == ';' ) {
552
                        $s = '/[\s]*;[\s]*/';
553
        }
554
        foreach( $lines as $line => $datarow ) {
555
                $split = preg_split($s,$datarow);
556
                $aCol1[] = floatval(trim($split[0]));
557
                $aCol2[] = floatval(trim($split[1]));
558
        }
559
 
560
        return count($lines);
561
    }
562
 
563
    // Read data from one columns in a plain text file
564
    static function From1Col($aFile, $aCol1) {
565
        $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
566
        if( $lines === false ) {
567
                return false;
568
        }
569
        foreach( $lines as $line => $datarow ) {
570
                $aCol1[] = floatval(trim($datarow));
571
        }
572
 
573
        return count($lines);
574
    }
575
 
576
    static function FromMatrix($aFile,$aSepChar=' ') {
577
        $lines = @file($aFile,FILE_IGNORE_NEW_LINES|FILE_SKIP_EMPTY_LINES);
578
        if( $lines === false ) {
579
                return false;
580
        }
581
        $mat = array();
582
        $reg = '/'.$aSepChar.'/';
583
        foreach( $lines as $line => $datarow ) {
584
                $row = preg_split($reg,trim($datarow));
585
                foreach ($row as $key => $cell ) {
586
                        $row[$key] = floatval(trim($cell));
587
                }
588
                $mat[] = $row;
589
        }
590
        return $mat;
591
    }
592
 
593
 
594
}
595
 
596
define('__LR_EPSILON', 1.0e-8);
597
//=============================================================================
598
// Class LinearRegression
599
//=============================================================================
600
class LinearRegression {
601
        private $ix=array(),$iy=array();
602
        private $ib=0, $ia=0;
603
        private $icalculated=false;
604
        public $iDet=0, $iCorr=0, $iStdErr=0;
605
 
606
        public function __construct($aDataX,$aDataY) {
607
                if( count($aDataX) !== count($aDataY) ) {
608
                        JpGraph::Raise('LinearRegression: X and Y data array must be of equal length.');
609
                }
610
                $this->ix = $aDataX;
611
                $this->iy = $aDataY;
612
        }
613
 
614
        public function Calc() {
615
 
616
                $this->icalculated = true;
617
 
618
                $n = count($this->ix);
619
                $sx2 = 0 ;
620
                $sy2 = 0 ;
621
                $sxy = 0 ;
622
                $sx = 0 ;
623
                $sy = 0 ;
624
 
625
                for( $i=0; $i < $n; ++$i ) {
626
                        $sx2 += $this->ix[$i] * $this->ix[$i];
627
                        $sy2 += $this->iy[$i] * $this->iy[$i];
628
                        $sxy += $this->ix[$i] * $this->iy[$i];
629
                        $sx += $this->ix[$i];
630
                        $sy += $this->iy[$i];
631
                }
632
 
633
                if( $n*$sx2 - $sx*$sx > __LR_EPSILON ) {
634
                        $this->ib = ($n*$sxy - $sx*$sy) / ( $n*$sx2 - $sx*$sx );
635
                        $this->ia = ( $sy - $this->ib*$sx ) / $n;
636
 
637
                        $sx = $this->ib * ( $sxy - $sx*$sy/$n );
638
                        $sy2 = $sy2 - $sy*$sy/$n;
639
                        $sy = $sy2 - $sx;
640
 
641
                        $this->iDet = $sx / $sy2;
642
                        $this->iCorr = sqrt($this->iDet);
643
                        if( $n > 2 ) {
644
                                $this->iStdErr = sqrt( $sy / ($n-2) );
645
                        }
646
                        else {
647
                                $this->iStdErr = NAN ;
648
                        }
649
                }
650
                else {
651
                        $this->ib = 0;
652
                        $this->ia = 0;
653
                }
654
 
655
        }
656
 
657
        public function GetAB() {
658
                if( $this->icalculated == false )
659
                        $this->Calc();
660
                return array($this->ia, $this->ib);
661
        }
662
 
663
        public function GetStat() {
664
                if( $this->icalculated == false )
665
                        $this->Calc();
666
                return array($this->iStdErr, $this->iCorr, $this->iDet);
667
        }
668
 
669
        public function GetY($aMinX, $aMaxX, $aStep=1) {
670
                if( $this->icalculated == false )
671
                        $this->Calc();
672
 
673
                $yy = array();
674
                $i = 0;
675
                for( $x=$aMinX; $x <= $aMaxX; $x += $aStep ) {
676
                        $xx[$i  ] = $x;
677
                        $yy[$i++] = $this->ia + $this->ib * $x;
678
                }
679
 
680
                return array($xx,$yy);
681
        }
682
 
683
}
684
 
685
?>