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Last change on this file since 7970 was 7784, checked in by tbretz, 18 years ago
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1	/* ======================================================================== *\
2	!
3	! *
4	! * This file is part of MARS, the MAGIC Analysis and Reconstruction
5	! * Software. It is distributed to you in the hope that it can be a useful
6	! * and timesaving tool in analysing Data of imaging Cerenkov telescopes.
7	! * It is distributed WITHOUT ANY WARRANTY.
8	! *
9	! * Permission to use, copy, modify and distribute this software and its
10	! * documentation for any purpose is hereby granted without fee,
11	! * provided that the above copyright notice appear in all copies and
12	! * that both that copyright notice and this permission notice appear
13	! * in supporting documentation. It is provided "as is" without express
14	! * or implied warranty.
15	! *
16	!
17	!
18	! Author(s): Thomas Bretz 04/2002 <mailto:tbretz@astro.uni-wuerzburg.de>
19	!
20	! Copyright: MAGIC Software Development, 2000-2005
21	!
22	!
23	\* ======================================================================== */
24
25	/////////////////////////////////////////////////////////////////////////////
26	//
27	// MDataChain
28	// ==========
29	//
30	// With this chain you can concatenate simple mathematical operations on
31	// members of mars containers.
32	//
33	//
34	// Rules
35	// -----
36	//
37	// In the constructor you can give rule, like
38	// "HillasSource.fDist / MHillas.fLength"
39	// Where MHillas/HillasSource is the name of the parameter container in
40	// the parameter list and fDist/fLength is the name of the data members
41	// in the containers. The result will be fDist divided by fLength.
42	//
43	// In case you want to access a data-member which is a data member object
44	// you can acces it with (Remark: it must derive from MParContainer):
45	// "MCameraLV.fPowerSupplyA.fVoltagePos5V"
46	//
47	// You can also use parantheses:
48	// "HillasDource.fDist / (MHillas.fLength + MHillas.fWidth)"
49	//
50	//
51	// Operators
52	// ---------
53	//
54	// The allowed operations are: +, -, , /, %, ^ and * for ^
55	//
56	// While a%b returns the floating point reminder of a/b.
57	// While a^b returns a to the power of b
58	//
59	// Priority
60	// --------
61	//
62	// The priority of the operators is build in as:
63	// ^ (highest), %, *, /, +, -
64	//
65	// Priorities are evaluated before parsing the rule by inserting
66	// artificial paranthesis. If you find ANY problem with this please
67	// report it immediatly! It is highly recommended to check the result!
68	//
69	// You can also use mathmatical operators, eg:
70	// "5log10(MMcEvt.fEnergyMHillas.fSize)"
71	//
72	// The allowed operators are:
73	// exp(x) e^x
74	// log(x) natural logarithm of x
75	// pow10(x) 10^x
76	// log2(x) logarithm of x to base two
77	// log10(x) logarithm of x to base ten
78	// cos(x) cosine of x
79	// sin(x) sine of x
80	// tan(x) tangent of x
81	// cosh(x) hyperbolic cosine of x
82	// sinh(x) hyperbolic sine of x
83	// tanh(x) hyperbolic tangent of x
84	// acosh(x) arc hyperbolic cosine of x
85	// asinh(x) arc hyperbolic sine of x
86	// atanh(x) arc hyperbolic tangent of x
87	// acos(x) arc cosine (inverse cosine) of x
88	// asin(x) arc sine (inverse sine) of x
89	// atan(x) arc tangent (inverse tangent) of x
90	// sqrt(x) square root of x
91	// sqr(x) square of x
92	// abs(x) absolute value of x, \|x\|
93	// floor(x) round down to the nearest integer (floor(9.9)=9)
94	// ceil(x) round up to the nearest integer (floor(9.1)=10)
95	// round(x) round to the nearest integer
96	// r2d(x) transform radians to degrees
97	// d2r(x) transform degrees to radians
98	// rand(x) returns a uniform deviate on the interval ( 0, x ].
99	// (gRandom->Uniform(x) is returned)
100	// randp(x) returns gRandom->Poisson(x)
101	// rande(x) returns gRandom->Exp(x)
102	// randi(x) returns gRandom->Integer(x)
103	// randg(x) returns gRandom->Gaus(0, x)
104	// randl(x) returns gRandom->Landau(0, x)
105	// isnan(x) return 1 if x is NaN (Not a Number) otherwise 0
106	// finite(x) return 1 if the number is a valid double (not NaN, inf)
107	//
108	// NaN (Not a Number) means normally a number which is to small to be
109	// stored in a floating point variable (eg. 0<x<1e-56 or similar) or
110	// a number which function is not defined (like asin(1.5))
111	//
112	// inf is the symbol for an infinite number.
113	//
114	//
115	// Constants
116	// ---------
117	//
118	// Constants are implemented in ParseDataMember, namely:
119	// kPi: TMath::Pi()
120	// kRad2Deg: 180/kPi
121	// kDeg2Rad: kPi/180
122	//
123	// You can also defined constants which are defined in TMath by:
124	// kLn10 for static Double_t TMath::Ln10();
125	// kLogE for static Double_t TMath::LogE();
126	// kRadToDeg for static Double_t TMath::RadToDeg();
127	// kDegToRad for static Double_t TMath::DegToRad();
128	// ...
129	//
130	// Remark:
131	// In older root versions only Pi() and E() are implemented
132	// in TMath.
133	//
134	//
135	// Variable Parameters
136	// ------------------------
137	// If you want to use variables, eg for fits you can use [0], [1], ...
138	// These values are initialized with 0 and set by calling
139	// SetVariables().
140	//
141	//
142	// Multi-argument functions
143	// ------------------------
144	// You can use multi-argument functions, too. The access is implemented
145	// via TFormula, which slows down thing a lot. If you can avoid usage
146	// of such expression you accelerate the access a lot. Example:
147	// "TMath::Hypot(MHillas.fMeanX, MHillas.MeanY)"
148	// "pow(MHillas.fMeanX*MHillas.MeanY, -1.2)"
149	// It should be possible to use all functions which are accessible
150	// via the root-dictionary.
151	//
152	//
153	// REMARK:
154	// - All the random functions are returning 0 if gRandom==0
155	// - You may get better results if you are using a TRandom3
156	//
157	// To Do:
158	// - The possibility to use other objects inheriting from MData
159	// is missing.
160	// - By automatic pre-adding parantheses to the rule it would be possible
161	// to implement priorities for operators.
162	//
163	/////////////////////////////////////////////////////////////////////////////
164
165	#include "MDataChain.h"
166
167	#include <ctype.h> // isalnum, ...
168	#include <stdlib.h> // strtod, ...
169
170	#include <TRegexp.h>
171	#include <TRandom.h>
172	#include <TMethodCall.h>
173
174	#include "MLog.h"
175	#include "MLogManip.h"
176
177	#include "MDataList.h"
178	#include "MDataValue.h"
179	#include "MDataMember.h"
180	#include "MDataFormula.h"
181	#include "MDataElement.h"
182
183	ClassImp(MDataChain);
184
185	using namespace std;
186
187	// --------------------------------------------------------------------------
188	//
189	// Constructor which takes a rule and a surrounding operator as argument
190	//
191	MDataChain::MDataChain(const char *rule, OperatorType_t op)
192	: fOperatorType(op)
193	{
194	fName = "MDataChain";
195	fTitle = rule;
196
197	fMember=ParseString(rule);
198	}
199
200	// --------------------------------------------------------------------------
201	//
202	// Constructor taking a rule as an argument. For more details see
203	// class description
204	//
205	MDataChain::MDataChain(const char rule, const char name, const char *title)
206	: fMember(NULL), fOperatorType(kENoop)
207	{
208	fName = name ? name : "MDataChain";
209	fTitle = title ? title : rule;
210
211	if (TString(rule).IsNull())
212	return;
213
214	*fLog << inf << "Parsing rule... " << flush;
215	if (!(fMember=ParseString(rule)))
216	{
217	*fLog << err << dbginf << "Parsing '" << rule << "' failed." << endl;
218	return;
219	}
220	*fLog << inf << "found: " << GetRule() << endl;
221	}
222
223	// --------------------------------------------------------------------------
224	//
225	// PreProcesses all members in the list
226	//
227	Bool_t MDataChain::PreProcess(const MParList *pList)
228	{
229	return fMember ? fMember->PreProcess(pList) : kFALSE;
230	}
231
232	// --------------------------------------------------------------------------
233	//
234	// Checks whether at least one member has the ready-to-save flag.
235	//
236	Bool_t MDataChain::IsReadyToSave() const
237	{
238	*fLog << all << "fM=" << fMember << "/" << (int)fMember->IsReadyToSave() << " " << endl;
239	return fMember ? fMember->IsReadyToSave() : kFALSE;
240	}
241
242	// --------------------------------------------------------------------------
243	//
244	// Destructor. Delete filters.
245	//
246	MDataChain::~MDataChain()
247	{
248	if (fMember)
249	delete fMember;
250	}
251
252	// --------------------------------------------------------------------------
253	//
254	// Returns the number of alphanumeric characters (including '.' and ';')
255	// in the given string
256	//
257	Int_t MDataChain::IsAlNum(TString txt)
258	{
259	int l = txt.Length();
260	for (int i=0; i<l; i++)
261	{
262	if (!isalnum(txt[i]) && txt[i]!='.' && txt[i]!=':' && txt[i]!=';' &&
263	/txt[i]!='['&&txt[i]!=']'&&/
264	((txt[i]!='-' && txt[i]!='+') \|\| i!=0))
265	return i;
266	}
267
268	return l;
269	}
270
271	Int_t MDataChain::GetBracket(TString txt, char open, char close)
272	{
273	Int_t first=1;
274	for (int cnt=0; first<txt.Length(); first++)
275	{
276	if (txt[first]==open)
277	cnt++;
278	if (txt[first]==close)
279	cnt--;
280	if (cnt==-1)
281	break;
282	}
283	return first;
284	}
285
286	// --------------------------------------------------------------------------
287	//
288	// Compare a given text with the known operators. If no operator match
289	// kENoop is retunred, otherwise the corresponding OperatorType_t
290	//
291	MDataChain::OperatorType_t MDataChain::ParseOperator(TString txt) const
292	{
293	txt.ToLower();
294
295	if (txt=="abs") return kEAbs;
296	if (txt=="fabs") return kEAbs;
297	if (txt=="log") return kELog;
298	if (txt=="log2") return kELog2;
299	if (txt=="log10") return kELog10;
300	if (txt=="sin") return kESin;
301	if (txt=="cos") return kECos;
302	if (txt=="tan") return kETan;
303	if (txt=="sinh") return kESinH;
304	if (txt=="cosh") return kECosH;
305	if (txt=="tanh") return kETanH;
306	if (txt=="asin") return kEASin;
307	if (txt=="acos") return kEACos;
308	if (txt=="atan") return kEATan;
309	if (txt=="asinh") return kEASinH;
310	if (txt=="acosh") return kEACosH;
311	if (txt=="atanh") return kEATanH;
312	if (txt=="sqrt") return kESqrt;
313	if (txt=="sqr") return kESqr;
314	if (txt=="exp") return kEExp;
315	if (txt=="pow10") return kEPow10;
316	if (txt=="sgn") return kESgn;
317	if (txt=="floor") return kEFloor;
318	if (txt=="r2d") return kERad2Deg;
319	if (txt=="d2r") return kEDeg2Rad;
320	if (txt=="rand") return kERandom;
321	if (txt=="randp") return kERandomP;
322	if (txt=="rande") return kERandomE;
323	if (txt=="randi") return kERandomI;
324	if (txt=="randg") return kERandomG;
325	if (txt=="randl") return kERandomL;
326	if (txt=="isnan") return kEIsNaN;
327	if (txt=="finite") return kEFinite;
328	if (txt[0]=='-') return kENegative;
329	if (txt[0]=='+') return kEPositive;
330
331	return kENoop;
332	}
333
334	// --------------------------------------------------------------------------
335	//
336	// Here the names of data members are interpreted. This can be used to
337	// check for constants.
338	//
339	MData *MDataChain::ParseDataMember(TString txt)
340	{
341	//txt.ToLower();
342
343	if (txt=="kRad2Deg") return new MDataValue(kRad2Deg);
344	if (txt=="kDeg2Rad") return new MDataValue(1./kRad2Deg);
345
346	if (!txt.BeginsWith("k"))
347	return new MDataMember(txt.Data());
348
349	const TString name = txt(1, txt.Length());
350	#if ROOT_VERSION_CODE < ROOT_VERSION(4,01,00)
351	TMethodCall call(TMath::Class(), name, "");
352	#else
353	static TClass *const tmath = TClass::GetClass("TMath");
354	TMethodCall call(tmath, name, "");
355	#endif
356
357	switch (call.ReturnType())
358	{
359	case TMethodCall::kLong:
360	Long_t l;
361	call.Execute(l);
362	return new MDataValue(l);
363	case TMethodCall::kDouble:
364	Double_t d;
365	call.Execute(d);
366	return new MDataValue(d);
367	default:
368	break;
369	}
370
371	return new MDataMember(txt.Data());
372	}
373
374	// --------------------------------------------------------------------------
375	//
376	// Remove all whitespaces
377	// Replace all kind of double +/- by a single + or -
378	//
379	void MDataChain::SimplifyString(TString &txt) const
380	{
381	txt.ReplaceAll(" ", "");
382	txt.ReplaceAll("**", "^");
383
384	while (txt.Contains("--") \|\| txt.Contains("++") \|\|
385	txt.Contains("+-") \|\| txt.Contains("-+"))
386	{
387	txt.ReplaceAll("--", "+");
388	txt.ReplaceAll("++", "+");
389	txt.ReplaceAll("-+", "-");
390	txt.ReplaceAll("+-", "-");
391	}
392	}
393
394	// --------------------------------------------------------------------------
395	//
396	// Add Parenthesis depending on the priority of the operators. The
397	// priorities are defined by the default of the second argument.
398	//
399	void MDataChain::AddParenthesis(TString &test, const TString op) const
400	{
401	// Signiture of an exponential number 1e12
402	static const TRegexp rexp("[.0123456789]e[+-][0123456789]");
403
404	const TString low = op(1, op.Length());
405	if (low.Length()==0)
406	return;
407
408	int offset = 0;
409	while (1)
410	{
411	const TString check = test(offset, test.Length());
412	if (check.IsNull())
413	break;
414
415	const Ssiz_t pos = check.First(op[0]);
416	if (pos<0)
417	break;
418
419	int cnt=0;
420
421	int i;
422	for (i=pos-1; i>=0; i--)
423	{
424	if (check[i]==')')
425	cnt++;
426	if (check[i]=='(')
427	cnt--;
428	if (cnt>0 \|\| low.First(check[i])<0)
429	continue;
430
431	// Check if operator belongs to an exponential number
432	const TString sub(check(i-2, 4));
433	if (!sub(rexp).IsNull())
434	continue;
435	break;
436	}
437
438	cnt=0;
439	int j;
440	for (j=pos; j<check.Length(); j++)
441	{
442	if (check[j]=='(')
443	cnt++;
444	if (check[j]==')')
445	cnt--;
446	if (cnt>0 \|\| low.First(check[j])<0)
447	continue;
448
449	// Check if operator belongs to an exponential number
450	const TString sub(check(j-2, 4));
451	if (!sub(rexp).IsNull())
452	continue;
453	break;
454	}
455
456	const TString sub = test(offset+i+1, j-i-1);
457
458	// Check if it contains operators,
459	// otherwise we can simply skip it
460	if (sub.First("%^/*+-")>=0)
461	{
462	test.Insert(offset+j, ")");
463	test.Insert(offset+i+1, "(");
464	offset += 2;
465	}
466	offset += j+1;
467	}
468
469	AddParenthesis(test, low);
470	}
471
472	// --------------------------------------------------------------------------
473	//
474	// Core of the data chain. Here the chain is constructed out of the rule.
475	//
476	MData *MDataChain::ParseString(TString txt, Int_t level)
477	{
478	if (level==0)
479	{
480	SimplifyString(txt);
481	AddParenthesis(txt);
482	}
483
484	MData *member0=NULL;
485
486	char type=0;
487	int nlist = 0;
488
489	while (!txt.IsNull())
490	{
491	MData *newmember = NULL;
492
493	txt = txt.Strip(TString::kBoth);
494
495	switch (txt[0])
496	{
497	case '(':
498	{
499	//
500	// Search for the corresponding parantheses
501	//
502	const Int_t first=GetBracket(txt, '(', ')');
503	if (first==txt.Length())
504	{
505	*fLog << err << dbginf << "Syntax Error: ')' missing." << endl;
506	if (member0)
507	delete member0;
508	return NULL;
509	}
510
511	//
512	// Make a copy of the 'interieur' and delete the substring
513	// including the brackets
514	//
515	TString sub = txt(1, first-1);
516	txt.Remove(0, first+1);
517
518	//
519	// Parse the substring
520	//
521	newmember = ParseString(sub, level+1);
522	if (!newmember)
523	{
524	*fLog << err << dbginf << "Parsing '" << sub << "' failed." << endl;
525	if (member0)
526	delete member0;
527	return NULL;
528	}
529	}
530	break;
531
532	case ')':
533	*fLog << err << dbginf << "Syntax Error: Too many ')'" << endl;
534	if (member0)
535	delete member0;
536	return NULL;
537
538	case '+':
539	case '-':
540	case '*':
541	case '/':
542	case '%':
543	case '^':
544	if (member0)
545	{
546	//
547	// Check for the type of the symbol
548	//
549	char is = txt[0];
550	txt.Remove(0, 1);
551
552	//
553	// If no filter is available or the available filter
554	// is of a different symbols we have to create a new
555	// data list with the new symbol
556	//
557	if (/!member0->InheritsFrom(MDataMember::Class()) \|\|/ type!=is)
558	{
559	MDataList *list = new MDataList(is);
560	list->SetName(Form("List_%c_%d", is, 10*level+nlist++));
561
562	list->SetOwner();
563	list->AddToList(member0);
564
565	member0 = list;
566
567	type = is;
568	}
569	continue;
570	}
571
572	if (txt[0]!='-' && txt[0]!='+')
573	{
574	*fLog << err << dbginf << "Syntax Error: First argument of '";
575	*fLog << txt[0] << "' opartor missing." << endl;
576	if (member0)
577	delete member0;
578	return NULL;
579	}
580
581	// FALLTHROU
582
583	case '0':
584	case '1':
585	case '2':
586	case '3':
587	case '4':
588	case '5':
589	case '6':
590	case '7':
591	case '8':
592	case '9':
593	case '[':
594	case ']':
595	if ((txt[0]!='-' && txt[0]!='+') \|\| isdigit(txt[1]) \|\| txt[1]=='.')
596	{
597	if (!txt.IsNull() && txt[0]=='[')
598	{
599	Int_t first = GetBracket(txt, '[', ']');
600	TString op = txt(1, first-1);
601	txt.Remove(0, first+1);
602
603	newmember = new MDataValue(0, atoi(op));
604	break;
605	}
606
607	char *end;
608	Double_t num = strtod(txt.Data(), &end);
609	if (!end \|\| txt.Data()==end)
610	{
611	*fLog << err << dbginf << "Error trying to convert '" << txt << "' to value." << endl;
612	if (member0)
613	delete member0;
614	return NULL;
615	}
616
617	txt.Remove(0, end-txt.Data());
618
619	newmember = new MDataValue(num);
620	break;
621	}
622
623	// FALLTHROUH
624
625	default:
626	int i = IsAlNum(txt);
627
628	if (i==0)
629	{
630	*fLog << err << dbginf << "Syntax Error: Name of data member missing in '" << txt << "'" << endl;
631	if (member0)
632	delete member0;
633	return NULL;
634	}
635
636	TString text = txt(0, i);
637
638	txt.Remove(0, i);
639	txt = txt.Strip(TString::kBoth);
640
641	if (!txt.IsNull() && txt[0]=='[')
642	{
643	Int_t first = GetBracket(txt, '[', ']');
644	TString op = txt(1, first-1);
645	txt.Remove(0, first+1);
646
647	newmember = new MDataElement(text, atoi(op));
648	break;
649	}
650	if ((txt.IsNull() \|\| txt[0]!='(') && text[0]!='-' && text[0]!='+')
651	{
652	newmember = ParseDataMember(text.Data());
653	break;
654	}
655
656	OperatorType_t op = ParseOperator(text);
657
658	Int_t first = GetBracket(txt, '(', ')');
659	TString sub = op==kENegative \|\| op==kEPositive ? text.Remove(0,1) + txt : txt(1, first-1);
660	txt.Remove(0, first+1);
661
662	if (op==kENoop)
663	{
664	newmember = new MDataFormula(Form("%s(%s)", (const char)text, (const char)sub));
665	if (newmember->IsValid())
666	break;
667
668	*fLog << err << dbginf << "Syntax Error: Operator '" << text << "' unknown." << endl;
669	if (member0)
670	delete member0;
671	return NULL;
672	}
673
674	newmember = new MDataChain(sub, op);
675	if (!newmember->IsValid())
676	{
677	*fLog << err << dbginf << "Syntax Error: Error parsing contents '" << sub << "' of operator " << text << endl;
678	delete newmember;
679	if (member0)
680	delete member0;
681	return NULL;
682	}
683	}
684
685	if (!member0)
686	{
687	member0 = newmember;
688	continue;
689	}
690
691	if (!member0->InheritsFrom(MDataList::Class()))
692	continue;
693
694	((MDataList*)member0)->AddToList(newmember);
695	}
696
697	return member0;
698	}
699
700	// --------------------------------------------------------------------------
701	//
702	// Returns the value described by the rule
703	//
704	Double_t MDataChain::GetValue() const
705	{
706	if (!fMember)
707	{
708	//*fLog << warn << "MDataChain not valid." << endl;
709	return 0;
710	}
711
712	const Double_t val = fMember->GetValue();
713
714	switch (fOperatorType)
715	{
716	case kEAbs: return TMath::Abs(val);
717	case kELog: return TMath::Log(val);
718	case kELog2: return TMath::Log2(val);
719	case kELog10: return TMath::Log10(val);
720	case kESin: return TMath::Sin(val);
721	case kECos: return TMath::Cos(val);
722	case kETan: return TMath::Tan(val);
723	case kESinH: return TMath::SinH(val);
724	case kECosH: return TMath::CosH(val);
725	case kETanH: return TMath::TanH(val);
726	case kEASin: return TMath::ASin(val);
727	case kEACos: return TMath::ACos(val);
728	case kEATan: return TMath::ATan(val);
729	case kEASinH: return TMath::ASinH(val);
730	case kEACosH: return TMath::ACosH(val);
731	case kEATanH: return TMath::ATanH(val);
732	case kESqrt: return TMath::Sqrt(val);
733	case kESqr: return val*val;
734	case kEExp: return TMath::Exp(val);
735	case kEPow10: return TMath::Power(10, val);
736	case kESgn: return val<0 ? -1 : 1;
737	case kENegative: return -val;
738	case kEPositive: return val;
739	case kEFloor: return TMath::Floor(val);
740	case kECeil: return TMath::Ceil(val);
741	case kERound: return TMath::Nint(val);
742	case kERad2Deg: return val*180/TMath::Pi();
743	case kEDeg2Rad: return val*TMath::Pi()/180;
744	case kERandom: return gRandom ? gRandom->Uniform(val) : 0;
745	case kERandomP: return gRandom ? gRandom->Poisson(val) : 0;
746	case kERandomE: return gRandom ? gRandom->Exp(val) : 0;
747	case kERandomI: return gRandom ? gRandom->Integer((int)val) : 0;
748	case kERandomG: return gRandom ? gRandom->Gaus(0, val) : 0;
749	case kERandomL: return gRandom ? gRandom->Landau(0, val) : 0;
750	case kEIsNaN: return TMath::IsNaN(val);
751	case kEFinite: return TMath::Finite(val);
752	case kENoop: return val;
753	}
754
755	*fLog << warn << "No Case for " << fOperatorType << " available." << endl;
756
757	return 0;
758	}
759
760	// --------------------------------------------------------------------------
761	//
762	// Builds a rule from all the chain members. This is a rule which could
763	// be used to rebuild the chain.
764	//
765	TString MDataChain::GetRule() const
766	{
767	if (!fMember)
768	return "<n/a>";
769
770	TString str;
771
772	Bool_t bracket = fOperatorType!=kENoop && !fMember->InheritsFrom(MDataList::Class());
773
774	switch (fOperatorType)
775	{
776	case kEAbs: str += "abs" ; break;
777	case kELog: str += "log" ; break;
778	case kELog2: str += "log2" ; break;
779	case kELog10: str += "log10" ; break;
780	case kESin: str += "sin" ; break;
781	case kECos: str += "cos" ; break;
782	case kETan: str += "tan" ; break;
783	case kESinH: str += "sinh" ; break;
784	case kECosH: str += "cosh" ; break;
785	case kETanH: str += "tanh" ; break;
786	case kEASin: str += "asin" ; break;
787	case kEACos: str += "acos" ; break;
788	case kEATan: str += "atan" ; break;
789	case kEASinH: str += "asinh" ; break;
790	case kEACosH: str += "acosh" ; break;
791	case kEATanH: str += "atanh" ; break;
792	case kESqrt: str += "sqrt" ; break;
793	case kESqr: str += "sqr" ; break;
794	case kEExp: str += "exp" ; break;
795	case kEPow10: str += "pow10" ; break;
796	case kESgn: str += "sgn" ; break;
797	case kENegative: str += "-" ; break;
798	case kEPositive: str += "+" ; break;
799	case kEFloor: str += "floor" ; break;
800	case kECeil: str += "ceil" ; break;
801	case kERound: str += "round" ; break;
802	case kERad2Deg: str += "r2d" ; break;
803	case kEDeg2Rad: str += "d2r" ; break;
804	case kERandom: str += "rand" ; break;
805	case kERandomP: str += "randp" ; break;
806	case kERandomE: str += "rande" ; break;
807	case kERandomI: str += "randi" ; break;
808	case kERandomG: str += "randg" ; break;
809	case kERandomL: str += "randl" ; break;
810	case kEIsNaN: str += "isnan" ; break;
811	case kEFinite: str += "finite"; break;
812	case kENoop:
813	break;
814	}
815
816	if (bracket)
817	str += "(";
818
819	str += fMember->GetRule();
820
821	if (bracket)
822	str += ")";
823
824	return str;
825	}
826
827	// --------------------------------------------------------------------------
828	//
829	// Return a comma seperated list of all data members used in the chain.
830	// This is mainly used in MTask::AddToBranchList
831	//
832	TString MDataChain::GetDataMember() const
833	{
834	return fMember ? fMember->GetDataMember() : TString();
835	}
836
837	void MDataChain::SetVariables(const TArrayD &arr)
838	{
839	if (fMember)
840	fMember->SetVariables(arr);
841	}
842
843	// --------------------------------------------------------------------------
844	//
845	// Check for corresponding entries in resource file and setup data chain.
846	//
847	// Assuming your MDataChain is called (Set/GetName): MyData
848	//
849	// Now setup the condition, eg:
850	// MyData.Rule: log10(MHillas.fSize)
851	// or
852	// MyData.Rule: log10(MHillas.fSize) - 4.1
853	//
854	// If you want to use more difficult rules you can split the
855	// condition into subrules. Subrules are identified
856	// by {}-brackets. Avoid trailing 0's! For example:
857	//
858	// MyData.Rule: log10(MHillas.fSize) + {0} - {1}
859	// MyData.0: 5.5*MHillas.fSize
860	// MyData.1: 2.3*log10(MHillas.fSize)
861	//
862	// The numbering must be continous and start with 0. You can use
863	// a subrules more than once. All {}-brackets are simply replaced
864	// by the corresponding conditions. The rules how conditions can
865	// be written can be found in the class description of MDataChain.
866	//
867	Int_t MDataChain::ReadEnv(const TEnv &env, TString prefix, Bool_t print)
868	{
869	Bool_t rc = kFALSE;
870	if (!IsEnvDefined(env, prefix, "Rule", print))
871	return rc;
872
873	TString rule = GetEnvValue(env, prefix, "Rule", "");
874	rule.ReplaceAll(" ", "");
875
876	Int_t idx=0;
877	while (1)
878	{
879	TString cond;
880	if (IsEnvDefined(env, prefix, Form("%d", idx), print))
881	{
882	cond += "(";
883	cond += GetEnvValue(env, prefix, Form("%d", idx), "");
884	cond += ")";
885	}
886
887	if (cond.IsNull())
888	break;
889
890	rule.ReplaceAll(Form("{%d}", idx), cond);
891	idx++;
892	}
893
894	if (fMember)
895	{
896	delete fMember;
897	fMember = 0;
898	}
899
900	if (rule.IsNull())
901	{
902	*fLog << warn << "MDataChain::ReadEnv - ERROR: Empty rule found." << endl;
903	return kERROR;
904	}
905
906	if (!(fMember=ParseString(rule)))
907	{
908	*fLog << err << "MDataChain::ReadEnv - ERROR: Parsing '" << rule << "' failed." << endl;
909	return kERROR;
910	}
911
912	if (print)
913	{
914	*fLog << inf << "found: ";
915	fMember->Print();
916	*fLog << endl;
917	}
918
919	return kTRUE;
920	}
921	/*
922	void MDataChain::ReconstructElements()
923	{
924	if (!fMember)
925	return;
926
927	if (fMember->InheritsFrom(MDataElement::Class()))
928	{
929	MData data = ((MDataElement)fMember)->CloneColumn();
930	delete fMember;
931	fMember = data;
932	}
933
934	fMember->ReconstructElements();
935	}
936	*/

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