ROOT  6.06/09
Reference Guide
TVectorT.h
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1 // @(#)root/matrix:$Id$
2 // Authors: Fons Rademakers, Eddy Offermann Nov 2003
3 
4 /*************************************************************************
5  * Copyright (C) 1995-2000, Rene Brun and Fons Rademakers. *
6  * All rights reserved. *
7  * *
8  * For the licensing terms see $ROOTSYS/LICENSE. *
9  * For the list of contributors see $ROOTSYS/README/CREDITS. *
10  *************************************************************************/
11 
12 #ifndef ROOT_TVectorT
13 #define ROOT_TVectorT
14 
15 //////////////////////////////////////////////////////////////////////////
16 // //
17 // TVectorT //
18 // //
19 // Template class of Vectors in the linear algebra package //
20 // //
21 //////////////////////////////////////////////////////////////////////////
22 
23 #ifndef ROOT_TMatrixT
24 #include "TMatrixT.h"
25 #endif
26 #ifndef ROOT_TMatrixTSym
27 #include "TMatrixTSym.h"
28 #endif
29 #ifndef ROOT_TMatrixTSparse
30 #include "TMatrixTSparse.h"
31 #endif
32 
33 template<class Element> class TVectorT : public TObject {
34 
35 protected:
36  Int_t fNrows; // number of rows
37  Int_t fRowLwb; // lower bound of the row index
38  Element *fElements; //[fNrows] elements themselves
39 
40  enum {kSizeMax = 5}; // size data container on stack, see New_m(),Delete_m()
41  enum {kWorkMax = 100}; // size of work array's in several routines
42 
43  Element fDataStack[kSizeMax]; //! data container
44  Bool_t fIsOwner; //!default kTRUE, when Use array kFALSE
45 
46  Element* New_m (Int_t size);
47  void Delete_m(Int_t size,Element*&);
48  Int_t Memcpy_m(Element *newp,const Element *oldp,Int_t copySize,
49  Int_t newSize,Int_t oldSize);
50 
51  void Allocate(Int_t nrows,Int_t row_lwb = 0,Int_t init = 0);
52 
53  enum EVectorStatusBits {
54  kStatus = BIT(14) // set if vector object is valid
55  };
56 
57 public:
58 
59  TVectorT() : fNrows(0), fRowLwb(0), fElements(0), fDataStack (), fIsOwner(kTRUE) { }
60  explicit TVectorT(Int_t n);
61  TVectorT(Int_t lwb,Int_t upb);
62  TVectorT(Int_t n,const Element *elements);
63  TVectorT(Int_t lwb,Int_t upb,const Element *elements);
64  TVectorT(const TVectorT <Element> &another);
65  TVectorT(const TMatrixTRow_const <Element> &mr);
66  TVectorT(const TMatrixTColumn_const<Element> &mc);
67  TVectorT(const TMatrixTDiag_const <Element> &md);
68  template <class Element2> TVectorT(const TVectorT<Element2> &another)
69  {
70  R__ASSERT(another.IsValid());
71  Allocate(another.GetUpb()-another.GetLwb()+1,another.GetLwb());
72  *this = another;
73  }
74 #ifndef __CINT__
75  TVectorT(Int_t lwb,Int_t upb,Element iv1, ...);
76 #endif
77  virtual ~TVectorT() { Clear(); }
78 
79  inline Int_t GetLwb () const { return fRowLwb; }
80  inline Int_t GetUpb () const { return fNrows+fRowLwb-1; }
81  inline Int_t GetNrows () const { return fNrows; }
82  inline Int_t GetNoElements() const { return fNrows; }
83 
84  inline Element *GetMatrixArray () { return fElements; }
85  inline const Element *GetMatrixArray () const { return fElements; }
86 
87  inline void Invalidate () { SetBit(kStatus); }
88  inline void MakeValid () { ResetBit(kStatus); }
89  inline Bool_t IsValid () const { return !TestBit(kStatus); }
90  inline Bool_t IsOwner () const { return fIsOwner; }
91  inline void SetElements(const Element *elements) { R__ASSERT(IsValid());
92  memcpy(fElements,elements,fNrows*sizeof(Element)); }
93  inline TVectorT<Element> &Shift (Int_t row_shift) { fRowLwb += row_shift; return *this; }
94  TVectorT<Element> &ResizeTo (Int_t lwb,Int_t upb);
95  inline TVectorT<Element> &ResizeTo (Int_t n) { return ResizeTo(0,n-1); }
96  inline TVectorT<Element> &ResizeTo (const TVectorT<Element> &v) { return ResizeTo(v.GetLwb(),v.GetUpb()); }
97 
98  TVectorT<Element> &Use (Int_t lwb,Int_t upb,Element *data);
99  const TVectorT<Element> &Use (Int_t lwb,Int_t upb,const Element *data) const
100  { return (const TVectorT<Element>&)(const_cast<TVectorT<Element> *>(this))->Use(lwb,upb,const_cast<Element *>(data)); }
101  TVectorT<Element> &Use (Int_t n,Element *data);
102  const TVectorT<Element> &Use (Int_t n,const Element *data) const ;
103  TVectorT<Element> &Use (TVectorT<Element> &v);
104  const TVectorT<Element> &Use (const TVectorT<Element> &v) const ;
105 
106  TVectorT<Element> &GetSub (Int_t row_lwb,Int_t row_upb,TVectorT<Element> &target,Option_t *option="S") const;
107  TVectorT<Element> GetSub (Int_t row_lwb,Int_t row_upb,Option_t *option="S") const;
108  TVectorT<Element> &SetSub (Int_t row_lwb,const TVectorT<Element> &source);
109 
110  TVectorT<Element> &Zero();
111  TVectorT<Element> &Abs ();
112  TVectorT<Element> &Sqr ();
113  TVectorT<Element> &Sqrt();
114  TVectorT<Element> &Invert();
115  TVectorT<Element> &SelectNonZeros(const TVectorT<Element> &select);
116 
117  Element Norm1 () const;
118  Element Norm2Sqr() const;
119  Element NormInf () const;
120  Int_t NonZeros() const;
121  Element Sum () const;
122  Element Min () const;
123  Element Max () const;
124 
125  inline const Element &operator()(Int_t index) const;
126  inline Element &operator()(Int_t index);
127  inline const Element &operator[](Int_t index) const { return (*this)(index); }
128  inline Element &operator[](Int_t index) { return (*this)(index); }
129 
130  TVectorT<Element> &operator= (const TVectorT <Element> &source);
131  TVectorT<Element> &operator= (const TMatrixTRow_const <Element> &mr);
132  TVectorT<Element> &operator= (const TMatrixTColumn_const <Element> &mc);
133  TVectorT<Element> &operator= (const TMatrixTDiag_const <Element> &md);
134  TVectorT<Element> &operator= (const TMatrixTSparseRow_const <Element> &md);
135  TVectorT<Element> &operator= (const TMatrixTSparseDiag_const<Element> &md);
136  template <class Element2> TVectorT<Element> &operator= (const TVectorT<Element2> &source)
137  {
138  if (!AreCompatible(*this,source)) {
139  Error("operator=(const TVectorT2 &)","vectors not compatible");
140  return *this;
141  }
142 
143  TObject::operator=(source);
144  const Element2 * const ps = source.GetMatrixArray();
145  Element * const pt = GetMatrixArray();
146  for (Int_t i = 0; i < this->fNrows; i++)
147  pt[i] = ps[i];
148  return *this;
149  }
150 
151  TVectorT<Element> &operator= (Element val);
152  TVectorT<Element> &operator+=(Element val);
153  TVectorT<Element> &operator-=(Element val);
154  TVectorT<Element> &operator*=(Element val);
155 
156  TVectorT<Element> &operator+=(const TVectorT <Element> &source);
157  TVectorT<Element> &operator-=(const TVectorT <Element> &source);
158  TVectorT<Element> &operator*=(const TMatrixT <Element> &a);
159  TVectorT<Element> &operator*=(const TMatrixTSym <Element> &a);
160  TVectorT<Element> &operator*=(const TMatrixTSparse<Element> &a);
161 
162  Bool_t operator==(Element val) const;
163  Bool_t operator!=(Element val) const;
164  Bool_t operator< (Element val) const;
165  Bool_t operator<=(Element val) const;
166  Bool_t operator> (Element val) const;
167  Bool_t operator>=(Element val) const;
168 
169  Bool_t MatchesNonZeroPattern(const TVectorT<Element> &select);
170  Bool_t SomePositive (const TVectorT<Element> &select);
171  void AddSomeConstant (Element val,const TVectorT<Element> &select);
172 
173  void Randomize (Element alpha,Element beta,Double_t &seed);
174 
175  TVectorT<Element> &Apply(const TElementActionT <Element> &action);
176  TVectorT<Element> &Apply(const TElementPosActionT<Element> &action);
177 
178  void Add(const TVectorT<Element> &v);
179  void Add(const TVectorT<Element> &v1, const TVectorT<Element> &v2);
180  void Clear(Option_t * /*option*/ ="") { if (fIsOwner) Delete_m(fNrows,fElements);
181  else fElements = 0;
182  fNrows = 0; }
183  void Draw (Option_t *option=""); // *MENU*
184  void Print(Option_t *option="") const; // *MENU*
185 
186  ClassDef(TVectorT,4) // Template of Vector class
187 };
188 
189 template<class Element> inline TVectorT<Element> &TVectorT<Element>::Use (Int_t n,Element *data) { return Use(0,n-1,data); }
190 template<class Element> inline const TVectorT<Element> &TVectorT<Element>::Use (Int_t n,const Element *data) const { return Use(0,n-1,data); }
191 template<class Element> inline TVectorT<Element> &TVectorT<Element>::Use (TVectorT &v)
192  {
193  R__ASSERT(v.IsValid());
194  return Use(v.GetLwb(),v.GetUpb(),v.GetMatrixArray());
195  }
196 template<class Element> inline const TVectorT<Element> &TVectorT<Element>::Use (const TVectorT &v) const
197  {
198  R__ASSERT(v.IsValid());
199  return Use(v.GetLwb(),v.GetUpb(),v.GetMatrixArray());
200  }
201 template<class Element> inline TVectorT<Element> TVectorT<Element>::GetSub (Int_t row_lwb,Int_t row_upb,Option_t *option) const
202  {
203  TVectorT tmp;
204  this->GetSub(row_lwb,row_upb,tmp,option);
205  return tmp;
206  }
207 
208 template<class Element> inline const Element &TVectorT<Element>::operator()(Int_t ind) const
209 {
210  // Access a vector element.
211 
212  R__ASSERT(IsValid());
213  const Int_t aind = ind-fRowLwb;
214  if (aind >= fNrows || aind < 0) {
215  Error("operator()","Request index(%d) outside vector range of %d - %d",ind,fRowLwb,fRowLwb+fNrows);
216  return TMatrixTBase<Element>::NaNValue();
217  }
218 
219  return fElements[aind];
220 }
221 template<class Element> inline Element &TVectorT<Element>::operator()(Int_t ind)
222 {
223  // Access a vector element.
224 
225  R__ASSERT(IsValid());
226  const Int_t aind = ind-fRowLwb;
227  if (aind >= fNrows || aind < 0) {
228  Error("operator()","Request index(%d) outside vector range of %d - %d",ind,fRowLwb,fRowLwb+fNrows);
229  return TMatrixTBase<Element>::NaNValue();
230  }
231 
232  return fElements[aind];
233 }
234 
235 template<class Element> Bool_t operator== (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
236 template<class Element> TVectorT<Element> operator+ (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
237 template<class Element> TVectorT<Element> operator- (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
238 template<class Element> Element operator* (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
239 template<class Element> TVectorT<Element> operator* (const TMatrixT <Element> &a, const TVectorT <Element> &source);
240 template<class Element> TVectorT<Element> operator* (const TMatrixTSym <Element> &a, const TVectorT <Element> &source);
241 template<class Element> TVectorT<Element> operator* (const TMatrixTSparse<Element> &a, const TVectorT <Element> &source);
242 template<class Element> TVectorT<Element> operator* ( Element val, const TVectorT <Element> &source);
243 template<class Element>
244 inline
245 TVectorT<Element> operator* (const TVectorT <Element> &source, Element val) { return val * source; }
246 
247 template<class Element> Element Dot (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
248 template <class Element1,class Element2>
249  TMatrixT<Element1> OuterProduct(const TVectorT <Element1> &v1, const TVectorT <Element2> &v2);
250 template <class Element1,class Element2,class Element3>
251  TMatrixT<Element1> &OuterProduct( TMatrixT <Element1> &target, const TVectorT <Element2> &v1, const TVectorT <Element3> &v2);
252 template <class Element1,class Element2,class Element3>
253  Element1 Mult (const TVectorT <Element1> &v1, const TMatrixT <Element2> &m, const TVectorT <Element3> &v2);
254 
255 template<class Element> TVectorT<Element> &Add ( TVectorT <Element> &target, Element scalar, const TVectorT <Element> &source);
256 template<class Element> TVectorT<Element> &Add ( TVectorT <Element> &target, Element scalar, const TMatrixT <Element> &a,
257  const TVectorT<Element> &source);
258 template<class Element> TVectorT<Element> &Add ( TVectorT <Element> &target, Element scalar, const TMatrixTSym <Element> &a,
259  const TVectorT<Element> &source);
260 template<class Element> TVectorT<Element> &Add ( TVectorT <Element> &target, Element scalar, const TMatrixTSparse<Element> &a,
261  const TVectorT<Element> &source);
262 template<class Element> TVectorT<Element> &AddElemMult ( TVectorT <Element> &target, Element scalar, const TVectorT <Element> &source1,
263  const TVectorT <Element> &source2);
264 template<class Element> TVectorT<Element> &AddElemMult ( TVectorT <Element> &target, Element scalar, const TVectorT <Element> &source1,
265  const TVectorT <Element> &source2,const TVectorT <Element> &select);
266 template<class Element> TVectorT<Element> &AddElemDiv ( TVectorT <Element> &target, Element scalar, const TVectorT <Element> &source1,
267  const TVectorT <Element> &source2);
268 template<class Element> TVectorT<Element> &AddElemDiv ( TVectorT <Element> &target, Element scalar, const TVectorT <Element> &source1,
269  const TVectorT <Element> &source2,const TVectorT <Element> &select);
270 template<class Element> TVectorT<Element> &ElementMult ( TVectorT <Element> &target, const TVectorT <Element> &source);
271 template<class Element> TVectorT<Element> &ElementMult ( TVectorT <Element> &target, const TVectorT <Element> &source, const TVectorT <Element> &select);
272 template<class Element> TVectorT<Element> &ElementDiv ( TVectorT <Element> &target, const TVectorT <Element> &source);
273 template<class Element> TVectorT<Element> &ElementDiv ( TVectorT <Element> &target, const TVectorT <Element> &source, const TVectorT <Element> &select);
274 
275 template<class Element1,class Element2> Bool_t AreCompatible(const TVectorT<Element1> &v1,const TVectorT<Element2> &v2,Int_t verbose=0);
276 // Check matrix and vector for compatibility in multiply: M * v and v * M
277 template<class Element1,class Element2> Bool_t AreCompatible(const TMatrixT<Element1> &m, const TVectorT<Element2> &v, Int_t verbose=0);
278 template<class Element1,class Element2> Bool_t AreCompatible(const TVectorT<Element1> &v, const TMatrixT<Element2> &m, Int_t verbose=0);
279 
280 template<class Element> void Compare (const TVectorT <Element> &source1,const TVectorT <Element> &source2);
281 template<class Element> Bool_t VerifyVectorValue (const TVectorT <Element> &m, Element val,Int_t verbose, Element maxDevAllow);
282 template<class Element> Bool_t VerifyVectorValue (const TVectorT <Element> &m, Element val,Int_t verbose)
283  { return VerifyVectorValue(m,val,verbose,Element(0.0)); }
284 template<class Element> Bool_t VerifyVectorValue (const TVectorT <Element> &m, Element val)
285  { return VerifyVectorValue(m,val,1,Element(0.0)); }
286 template<class Element> Bool_t VerifyVectorIdentity (const TVectorT <Element> &m1,const TVectorT <Element> &m2, Int_t verbose, Element maxDevAllow);
287 template<class Element> Bool_t VerifyVectorIdentity (const TVectorT <Element> &m1,const TVectorT <Element> &m2, Int_t verbose)
288  { return VerifyVectorIdentity(m1,m2,verbose,Element(0.0)); }
289 template<class Element> Bool_t VerifyVectorIdentity (const TVectorT <Element> &m1,const TVectorT <Element> &m2)
290  { return VerifyVectorIdentity(m1,m2,1,Element(0.0)); }
291 
292 #endif
TVectorT::Sum
Element Sum() const
Compute sum of elements.
Definition: TVectorT.cxx:634
TVectorT::SetElements
void SetElements(const Element *elements)
Definition: TVectorT.h:91
Compare
void Compare(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Compare two vectors and print out the result of the comparison.
Definition: TVectorT.cxx:2206
TVectorT::ResizeTo
TVectorT< Element > & ResizeTo(Int_t lwb, Int_t upb)
Resize the vector to [lwb:upb] .
Definition: TVectorT.cxx:291
TVectorT::GetUpb
Int_t GetUpb() const
Definition: TVectorT.h:80
TVectorT::Invalidate
void Invalidate()
Definition: TVectorT.h:87
v1
const Double_t * v1
Definition: TArcBall.cxx:33
TVectorT::operator-=
TVectorT< Element > & operator-=(Element val)
Subtract val from every element of the vector.
Definition: TVectorT.cxx:876
OuterProduct
TMatrixT< Element1 > OuterProduct(const TVectorT< Element1 > &v1, const TVectorT< Element2 > &v2)
Return the matrix M = v1 * v2'.
Definition: TVectorT.cxx:1492
TVectorT::Max
Element Max() const
return maximum vector element value
Definition: TVectorT.cxx:663
TVectorT::IsValid
Bool_t IsValid() const
Definition: TVectorT.h:89
TVectorT::operator()
const Element & operator()(Int_t index) const
Definition: TVectorT.h:208
TVectorT::Add
void Add(const TVectorT< Element > &v)
Add vector v to this vector.
Definition: TVectorT.cxx:81
Option_t
const char Option_t
Definition: RtypesCore.h:62
TMatrixTColumn_const
Definition: TMatrixDUtilsfwd.h:38
TVectorT::Draw
void Draw(Option_t *option="")
Draw this vector The histogram is named "TVectorT" by default and no title.
Definition: TVectorT.cxx:1350
operator+
TVectorT< Element > operator+(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Return source1+source2.
Definition: TVectorT.cxx:1409
TVectorT::GetNrows
Int_t GetNrows() const
Definition: TVectorT.h:81
BIT
#define BIT(n)
Definition: Rtypes.h:120
TVectorT::GetMatrixArray
const Element * GetMatrixArray() const
Definition: TVectorT.h:85
TVectorT::fIsOwner
Bool_t fIsOwner
data container
Definition: TVectorT.h:44
operator*
Element operator*(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Compute the scalar product.
Definition: TVectorT.cxx:1393
R__ASSERT
#define R__ASSERT(e)
Definition: TError.h:98
TVectorT::Invert
TVectorT< Element > & Invert()
v[i] = 1/v[i]
Definition: TVectorT.cxx:519
TVectorT::GetSub
TVectorT< Element > & GetSub(Int_t row_lwb, Int_t row_upb, TVectorT< Element > &target, Option_t *option="S") const
Get subvector [row_lwb..row_upb]; The indexing range of the returned vector depends on the argument o...
Definition: TVectorT.cxx:370
Int_t
int Int_t
Definition: RtypesCore.h:41
TVectorT::fDataStack
Element fDataStack[kSizeMax]
Definition: TVectorT.h:43
Bool_t
bool Bool_t
Definition: RtypesCore.h:59
a
TArc * a
Definition: textangle.C:12
AreCompatible
Bool_t AreCompatible(const TVectorT< Element1 > &v1, const TVectorT< Element2 > &v2, Int_t verbose=0)
Check if v1 and v2 are both valid and have the same shape.
Definition: TVectorT.cxx:2128
AddElemDiv
TVectorT< Element > & AddElemDiv(TVectorT< Element > &target, Element scalar, const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Modify addition: target += scalar * ElementDiv(source1,source2) .
Definition: TVectorT.cxx:1914
TVectorT::operator>
Bool_t operator>(Element val) const
Are all vector elements > val?
Definition: TVectorT.cxx:1201
TVectorT::Sqr
TVectorT< Element > & Sqr()
Square each element of the vector.
Definition: TVectorT.cxx:479
TObject::SetBit
void SetBit(UInt_t f, Bool_t set)
Set or unset the user status bits as specified in f.
Definition: TObject.cxx:732
ROOT::Math::beta
double beta(double x, double y)
Calculates the beta function.
Definition: SpecFuncMathCore.cxx:111
TVectorT::~TVectorT
virtual ~TVectorT()
Definition: TVectorT.h:77
TVectorT::Randomize
void Randomize(Element alpha, Element beta, Double_t &seed)
randomize vector elements value
Definition: TVectorT.cxx:1302
TVectorT::Use
TVectorT< Element > & Use(Int_t lwb, Int_t upb, Element *data)
Use the array data to fill the vector lwb..upb].
Definition: TVectorT.cxx:346
ClassDef
#define ClassDef(name, id)
Definition: Rtypes.h:254
ElementDiv
TVectorT< Element > & ElementDiv(TVectorT< Element > &target, const TVectorT< Element > &source)
Divide target by the source, element-by-element.
Definition: TVectorT.cxx:2072
TVectorT::SetSub
TVectorT< Element > & SetSub(Int_t row_lwb, const TVectorT< Element > &source)
Insert vector source starting at [row_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source];.
Definition: TVectorT.cxx:419
TMatrixTSparseRow_const
Definition: TMatrixDUtilsfwd.h:42
TObject::operator=
TObject & operator=(const TObject &rhs)
TObject assignment operator.
Definition: TObject.cxx:102
Mult
Element1 Mult(const TVectorT< Element1 > &v1, const TMatrixT< Element2 > &m, const TVectorT< Element3 > &v2)
Perform v1 * M * v2, a scalar result.
Definition: TVectorT.cxx:1539
TVectorT::Delete_m
void Delete_m(Int_t size, Element *&)
TObject::Error
virtual void Error(const char *method, const char *msgfmt,...) const
Issue error message.
Definition: TObject.cxx:918
TVectorT::Clear
void Clear(Option_t *="")
Definition: TVectorT.h:180
TVectorT::Use
const TVectorT< Element > & Use(Int_t lwb, Int_t upb, const Element *data) const
Definition: TVectorT.h:99
TVectorT::Sqrt
TVectorT< Element > & Sqrt()
Take square root of all elements.
Definition: TVectorT.cxx:497
Error
void Error(const char *location, const char *msgfmt,...)
TVectorT::operator[]
const Element & operator[](Int_t index) const
Definition: TVectorT.h:127
TVectorT::Allocate
void Allocate(Int_t nrows, Int_t row_lwb=0, Int_t init=0)
Allocate new vector.
Definition: TVectorT.cxx:148
TVectorT::Shift
TVectorT< Element > & Shift(Int_t row_shift)
Definition: TVectorT.h:93
TVectorT::GetMatrixArray
Element * GetMatrixArray()
Definition: TVectorT.h:84
operator==
Bool_t operator==(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Check to see if two vectors are identical.
Definition: TVectorT.cxx:1383
TVectorT::Print
void Print(Option_t *option="") const
Print the vector as a list of elements.
Definition: TVectorT.cxx:1360
TVectorT::operator==
Bool_t operator==(Element val) const
Are all vector elements equal to val?
Definition: TVectorT.cxx:1133
TVectorT::operator>=
Bool_t operator>=(Element val) const
Are all vector elements >= val?
Definition: TVectorT.cxx:1218
TVectorT::NonZeros
Int_t NonZeros() const
Compute the number of elements != 0.0.
Definition: TVectorT.cxx:617
pt
TPaveText * pt
Definition: entrylist_figure1.C:9
TVectorT::Min
Element Min() const
return minimum vector element value
Definition: TVectorT.cxx:651
v
SVector< double, 2 > v
Definition: Dict.h:5
TVectorT::NormInf
Element NormInf() const
Compute the infinity-norm of the vector MAX{ |v[i]| }.
Definition: TVectorT.cxx:600
TVectorT::operator!=
Bool_t operator!=(Element val) const
Are all vector elements not equal to val?
Definition: TVectorT.cxx:1150
TVectorT::operator=
TVectorT< Element > & operator=(const TVectorT< Element > &source)
Notice that this assignment does NOT change the ownership : if the storage space was adopted...
Definition: TVectorT.cxx:677
TVectorT::operator*=
TVectorT< Element > & operator*=(Element val)
Multiply every element of the vector with val.
Definition: TVectorT.cxx:892
TVectorT::Zero
TVectorT< Element > & Zero()
Set vector elements to zero.
Definition: TVectorT.cxx:450
TObject::TestBit
Bool_t TestBit(UInt_t f) const
Definition: TObject.h:173
ElementMult
TVectorT< Element > & ElementMult(TVectorT< Element > &target, const TVectorT< Element > &source)
Multiply target by the source, element-by-element.
Definition: TVectorT.cxx:2029
m
TMarker * m
Definition: textangle.C:8
verbose
bool verbose
Definition: binarySearchTime.cxx:27
TMatrixTDiag_const
Definition: TMatrixDUtilsfwd.h:39
TVectorT::MakeValid
void MakeValid()
Definition: TVectorT.h:88
TVectorT::Norm2Sqr
Element Norm2Sqr() const
Compute the square of the 2-norm SUM{ v[i]^2 }.
Definition: TVectorT.cxx:581
TVectorT::TVectorT
TVectorT()
Definition: TVectorT.h:59
TVectorT::SelectNonZeros
TVectorT< Element > & SelectNonZeros(const TVectorT< Element > &select)
Keep only element as selected through array select non-zero.
Definition: TVectorT.cxx:541
TVectorT::IsOwner
Bool_t IsOwner() const
Definition: TVectorT.h:90
TVectorT::GetLwb
Int_t GetLwb() const
Definition: TVectorT.h:79
init
static Int_t init()
Definition: RooClassFactory.cxx:53
Double_t
double Double_t
Definition: RtypesCore.h:55
Dot
Element Dot(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
return inner-produvt v1 . v2
Definition: TVectorT.cxx:1475
TVectorT::Norm1
Element Norm1() const
Compute the 1-norm of the vector SUM{ |v[i]| }.
Definition: TVectorT.cxx:564
TVectorT::ResizeTo
TVectorT< Element > & ResizeTo(const TVectorT< Element > &v)
Definition: TVectorT.h:96
TVectorT::operator<=
Bool_t operator<=(Element val) const
Are all vector elements <= val?
Definition: TVectorT.cxx:1184
TObject
Mother of all ROOT objects.
Definition: TObject.h:58
TVectorT::GetNoElements
Int_t GetNoElements() const
Definition: TVectorT.h:82
TVectorT::fRowLwb
Int_t fRowLwb
Definition: TVectorT.h:37
TVectorT::Memcpy_m
Int_t Memcpy_m(Element *newp, const Element *oldp, Int_t copySize, Int_t newSize, Int_t oldSize)
Copy copySize doubles from *oldp to *newp .
Definition: TVectorT.cxx:121
Add
TVectorT< Element > & Add(TVectorT< Element > &target, Element scalar, const TVectorT< Element > &source)
Modify addition: target += scalar * source.
Definition: TVectorT.cxx:1584
AddElemMult
TVectorT< Element > & AddElemMult(TVectorT< Element > &target, Element scalar, const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Modify addition: target += scalar * ElementMult(source1,source2) .
Definition: TVectorT.cxx:1841
TVectorT::fNrows
Int_t fNrows
Definition: TVectorT.h:36
TVectorT::Abs
TVectorT< Element > & Abs()
Take an absolute value of a vector, i.e. apply Abs() to each element.
Definition: TVectorT.cxx:461
TVectorT::operator[]
Element & operator[](Int_t index)
Definition: TVectorT.h:128
TVectorT::fElements
Element * fElements
Definition: TVectorT.h:38
TVectorT::MatchesNonZeroPattern
Bool_t MatchesNonZeroPattern(const TVectorT< Element > &select)
Check if vector elements as selected through array select are non-zero.
Definition: TVectorT.cxx:1235
TMatrixTBase::NaNValue
static Element & NaNValue()
Definition: TMatrixTBase.cxx:1265
VerifyVectorIdentity
Bool_t VerifyVectorIdentity(const TVectorT< Element > &m1, const TVectorT< Element > &m2, Int_t verbose, Element maxDevAllow)
Verify that elements of the two vectors are equal within maxDevAllow .
Definition: TVectorT.cxx:2294
TVectorT::ResizeTo
TVectorT< Element > & ResizeTo(Int_t n)
Definition: TVectorT.h:95
TObject::ResetBit
void ResetBit(UInt_t f)
Definition: TObject.h:172
TMatrixTRow_const
Definition: TMatrixDUtilsfwd.h:37
TMatrixTSparseDiag_const
Definition: TMatrixDUtilsfwd.h:43
VerifyVectorValue
Bool_t VerifyVectorValue(const TVectorT< Element > &m, Element val, Int_t verbose, Element maxDevAllow)
Validate that all elements of vector have value val within maxDevAllow .
Definition: TVectorT.cxx:2259
operator-
TVectorT< Element > operator-(const TVectorT< Element > &source1, const TVectorT< Element > &source2)
Return source1-source2.
Definition: TVectorT.cxx:1420
kTRUE
const Bool_t kTRUE
Definition: Rtypes.h:91
TVectorT::New_m
Element * New_m(Int_t size)
default kTRUE, when Use array kFALSE
Definition: TVectorT.cxx:64
TVectorT::AddSomeConstant
void AddSomeConstant(Element val, const TVectorT< Element > &select)
Add to vector elements as selected through array select the value val.
Definition: TVectorT.cxx:1281
n
const Int_t n
Definition: legend1.C:16
TVectorT::operator<
Bool_t operator<(Element val) const
Are all vector elements < val?
Definition: TVectorT.cxx:1167
TVectorT::SomePositive
Bool_t SomePositive(const TVectorT< Element > &select)
Check if vector elements as selected through array select are all positive.
Definition: TVectorT.cxx:1258
TVectorT::TVectorT
TVectorT(const TVectorT< Element2 > &another)
Definition: TVectorT.h:68
TVectorT::operator+=
TVectorT< Element > & operator+=(Element val)
Add val to every element of the vector.
Definition: TVectorT.cxx:860
TVectorT::Apply
TVectorT< Element > & Apply(const TElementActionT< Element > &action)
Apply action to each element of the vector.
Definition: TVectorT.cxx:1319