CMS 3D CMS Logo
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Friends Macros Pages
SimplifyRatio.h
Go to the documentation of this file.
1 #ifndef PhysicsTools_Utilities_SimplifyRatio_h
2 #define PhysicsTools_Utilities_SimplifyRatio_h
3 
4 #include "PhysicsTools/Utilities/interface/Ratio.h"
5 #include "PhysicsTools/Utilities/interface/Product.h"
6 #include "PhysicsTools/Utilities/interface/Power.h"
7 #include "PhysicsTools/Utilities/interface/Minus.h"
8 #include "PhysicsTools/Utilities/interface/Fraction.h"
9 #include "PhysicsTools/Utilities/interface/DecomposePower.h"
10 
11 #include "PhysicsTools/Utilities/interface/Simplify_begin.h"
12 
13 namespace funct {
14 
15  // 0 / a = 0
16  RATIO_RULE(TYPT1, NUM(0), A, NUM(0) , num<0>());
17 
18  // a / 1 = a
19  RATIO_RULE(TYPT1, A, NUM(1), A, _1);
20 
21  // ( a * b )/ 1 = a * b
22  RATIO_RULE(TYPT2, PROD_S(A, B), NUM(1), PROD(A, B), _1);
23 
24  // a / ( -n ) = - ( a / n )
25  template <int n, typename A, bool positive = (n>= 0)>
26  struct SimplifyNegativeRatio {
27  typedef RATIO_S(A, NUM(n)) type;
28  COMBINE(A, NUM(n), type(_1, _2));
29  };
30 
31  TEMPL(N1T1)
32  struct SimplifyNegativeRatio<n, A, false> {
33  typedef MINUS(RATIO(A, NUM(-n))) type;
34  COMBINE(A, NUM(n), - (_1 / num<-n>()));
35  };
36 
37  TEMPL(N1T1) struct Ratio<A, NUM(n)> :
38  public SimplifyNegativeRatio<n, A> { };
39 
40  // ( -a ) / b = - ( a / b )
41  RATIO_RULE(TYPT2, MINUS_S(A), B, MINUS(RATIO(A, B)), -(_1._ / _2));
42 
43  // ( -a ) / n = - ( a / n )
44  RATIO_RULE(TYPN1T1, MINUS_S(A), NUM(n), MINUS(RATIO(A, NUM(n))), -(_1._ / _2));
45 
46  //TEMPL( N1T2 struct Ratio<PROD_S( A, B ), NUM( n )> :
47  // public SimplifyNegativeRatio<n, PROD_S( A, B )> { };
48 
49  // n / ( m * a ) = (n/m) * a
50  /* WRONG!!
51  RATIO_RULE(TYPN2T1, NUM(n), PROD_S(NUM(m), A), \
52  PROD(FRACT(n, m), A), (fract<n, m>() * _2._2));
53  */
54  // ( a / b ) / c = a / ( b * c )
55  RATIO_RULE(TYPT3, RATIO_S(A, B), C, \
56  RATIO(A, PROD(B, C)), _1._1 / (_1._2 * _2));
57 
58  // ( a / b ) / n = a / ( n * b )
59  RATIO_RULE(TYPN1T2, RATIO_S(A, B), NUM(n), \
60  RATIO(A, PROD(NUM(n), B)), _1._1 / (_2 * _1._2));
61 
62  // ( a / b ) / ( c * d ) = a / ( b * c * d )
63  RATIO_RULE(TYPT4, RATIO_S(A, B), PROD_S(C, D), \
64  RATIO(A, PROD(PROD(B, C), D)), _1._1 / (_1._2 * _2));
65 
66  // ( a * b ) / ( c / d ) = ( a * b * d ) / c
67  RATIO_RULE(TYPT4, PROD_S(A, B), RATIO_S(C, D), \
68  RATIO(PROD(PROD(A, B), D), C), (_1 * _2._2) / _2._1);
69 
70  // ( n * a ) / ( m * b ) = ( n/m ) ( a / b )
71  RATIO_RULE(TYPN2T2, PROD_S(NUM(n), A), PROD_S(NUM(m), B), \
72  PROD_S(FRACT(n, m), RATIO(A, B)), \
73  (PROD_S(FRACT(n, m), RATIO(A, B))((fract<n, m>()), (_1._2 / _2._2))));
74 
75  // a / ( b / c ) = a * c / b
76  RATIO_RULE(TYPT3, A, RATIO_S(B, C), \
77  RATIO(PROD(A, C), B), (_1 * _2._2) / _2._1);
78 
79  // ( a + b ) / ( c / d ) = ( a + b ) * d / c
80  RATIO_RULE(TYPT4, SUM_S(A, B), RATIO_S(C, D), \
81  RATIO(PROD(SUM(A, B), D), C), (_1 * _2._2) / _2._1);
82 
83  // ( a / b ) / ( c / d )= a * d / ( b * c )
84  RATIO_RULE(TYPT4, RATIO_S(A, B), RATIO_S(C, D), \
85  RATIO(PROD(A, D), PROD(B, C)), \
86  (_1._1 * _2._2) / (_1._2 * _2._1));
87 
88  // ( a + b ) / ( b + a ) = 1
89  template<TYPT2,
90  bool parametric = (Parametric<A>::value == 1) ||
91  (Parametric<B>::value == 1)>
92  struct SimplifyRatioSum {
93  typedef RATIO_S(SUM(A, B), SUM(B, A)) type;
94  COMBINE(SUM(A, B), SUM(B, A), type(_1, _2));
95  };
96 
97  TEMPL(T2) struct SimplifyRatioSum<A, B, false> {
98  typedef NUM(1) type;
99  COMBINE(SUM(A, B), SUM(B, A), num<1>());
100  };
101 
102  TEMPL(T2) struct Ratio<SUM_S(A, B), SUM_S(B, A)> :
103  public SimplifyRatioSum<A, B> { };
104 
105  // a^b / a^c => a^( b - c)
106  template<TYPT3, bool parametric = (Parametric<A>::value == 1)>
107  struct SimplifyPowerRatio {
108  typedef POWER(A, B) arg1;
109  typedef POWER(A, C) arg2;
110  typedef RATIO_S(arg1, arg2) type;
111  COMBINE(arg1, arg2, type(_1, _2));
112  };
113 
114  TEMPL(T3)
115  struct SimplifyPowerRatio<A, B, C, false> {
116  typedef POWER(A, B) arg1;
117  typedef POWER(A, C) arg2;
118  typedef POWER(A, DIFF(B, C)) type;
119  inline static type combine(const arg1& _1, const arg2& _2) {
120  return pow(DecomposePower<A, B>::getBase(_1),
121  (DecomposePower<A, B>::getExp(_1) -
122  DecomposePower<A, C>::getExp(_2))); }
123  };
124 
125  TEMPL(T3) struct Ratio<POWER_S(A, B), POWER_S(A, C)> :
126  public SimplifyPowerRatio<A, B, C> { };
127 
128  TEMPL(T2) struct Ratio<POWER_S(A, B), POWER_S(A, B)> :
129  public SimplifyPowerRatio<A, B, B> { };
130 
131  TEMPL(T2) struct Ratio<A, POWER_S(A, B)> :
132  public SimplifyPowerRatio<A, NUM(1), B> { };
133 
134  TEMPL(N1T1) struct Ratio<A, POWER_S(A, NUM(n))> :
135  public SimplifyPowerRatio<A, NUM(1), NUM(n)> { };
136 
137  TEMPL(T2) struct Ratio<POWER_S(A, B), A> :
138  public SimplifyPowerRatio<A, B, NUM(1)>{ };
139 
140  TEMPL(N1T1) struct Ratio<POWER_S(A, NUM(n)), A> :
141  public SimplifyPowerRatio<A, NUM(n), NUM(1)> { };
142 
143  TEMPL(T1) struct Ratio<A, A> :
144  public SimplifyPowerRatio<A, NUM(1), NUM(1)> { };
145 
146  TEMPL(T2) struct Ratio<PROD_S(A, B), PROD_S(A, B)> :
147  public SimplifyPowerRatio<PROD_S(A, B), NUM(1), NUM(1)> { };
148 
149  TEMPL(N1T1) struct Ratio<PROD_S(NUM(n), A), PROD_S(NUM(n), A)> :
150  public SimplifyPowerRatio<PROD_S(NUM(n), A), NUM(1), NUM(1)> { };
151 
152  RATIO_RULE(TYPN1, NUM(n), NUM(n), NUM(1), num<1>());
153 
154  // simplify ( f * g ) / h
155  // try ( f / h ) * g and ( g / h ) * f, otherwise leave ( f * g ) / h
156 
157  template <typename Prod, bool simplify = Prod::value> struct AuxProductRatio {
158  typedef PROD(typename Prod::AB, typename Prod::C) type;
159  inline static type combine(const typename Prod::A& a,
160  const typename Prod::B& b,
161  const typename Prod::C& c) { return (a / b) * c; }
162  };
163 
164  template<typename Prod> struct AuxProductRatio<Prod, false> {
165  typedef RATIO_S(typename Prod::AB, typename Prod::C) type;
166  inline static type combine(const typename Prod::A& a,
167  const typename Prod::B& b,
168  const typename Prod::C& c) { return type(a * b, c); }
169  };
170 
171  template<typename F, typename G, typename H>
172  struct RatioP1 {
173  struct prod0 {
174  typedef F A; typedef G B; typedef H C;
175  typedef PROD_S(A, B) AB;
176  inline static const A& a(const F& f, const G& g, const H& h) { return f; }
177  inline static const B& b(const F& f, const G& g, const H& h) { return g; }
178  inline static const C& c(const F& f, const G& g, const H& h) { return h; }
179  enum { value = false };
180  };
181  struct prod1 {
182  typedef F A; typedef H B; typedef G C;
183  typedef RATIO_S(A, B) base;
184  typedef RATIO(A, B) AB;
185  inline static const A& a(const F& f, const G& g, const H& h) { return f; }
186  inline static const B& b(const F& f, const G& g, const H& h) { return h; }
187  inline static const C& c(const F& f, const G& g, const H& h) { return g; }
188  enum { value = ::boost::type_traits::ice_not<
189  ::boost::is_same<AB, base>::value>::value };
190  };
191  struct prod2 {
192  typedef G A; typedef H B; typedef F C;
193  typedef RATIO_S(A, B) base;
194  typedef RATIO(A, B) AB;
195  inline static const A& a(const F& f, const G& g, const H& h) { return g; }
196  inline static const B& b(const F& f, const G& g, const H& h) { return h; }
197  inline static const C& c(const F& f, const G& g, const H& h) { return f; }
198  enum { value = ::boost::type_traits::ice_not<
199  ::boost::is_same<AB, base>::value>::value };
200  };
201 
202  typedef typename
203  ::boost::mpl::if_<prod1,
204  prod1,
205  typename ::boost::mpl::if_<prod2,
206  prod2,
207  prod0
208  >::type
209  >::type prod;
210  typedef typename AuxProductRatio<prod>::type type;
211  inline static type combine(const PROD_S(F, G)& fg, const H& h) {
212  const F& f = fg._1;
213  const G& g = fg._2;
214  const typename prod::A & a = prod::a(f, g, h);
215  const typename prod::B & b = prod::b(f, g, h);
216  const typename prod::C & c = prod::c(f, g, h);
217  return AuxProductRatio<prod>::combine(a, b, c);
218  }
219  };
220 
221  // simplify c / ( a * b )
222  // try ( c / a ) / b and ( c / b ) / a, otherwise leave c / ( a * b )
223 
224  template <typename Prod, bool simplify = Prod::value>
225  struct AuxProductRatio2 {
226  typedef RATIO(typename Prod::AB, typename Prod::C) type;
227  inline static type combine(const typename Prod::A& a,
228  const typename Prod::B& b,
229  const typename Prod::C& c) { return (b / a) / c; }
230  };
231 
232  template<typename Prod>
233  struct AuxProductRatio2<Prod, false> {
234  typedef RATIO_S(typename Prod::C, typename Prod::AB) type;
235  inline static type combine(const typename Prod::A& a,
236  const typename Prod::B& b,
237  const typename Prod::C& c) { return type(c, a * b); }
238  };
239 
240  template<typename F, typename G, typename H>
241  struct RatioP2 {
242  struct prod0 {
243  typedef F A; typedef G B; typedef H C;
244  typedef PROD_S(A, B) AB;
245  inline static const A& a(const F& f, const G& g, const H& h) { return f; }
246  inline static const B& b(const F& f, const G& g, const H& h) { return g; }
247  inline static const C& c(const F& f, const G& g, const H& h) { return h; }
248  enum { value = false };
249  };
250  struct prod1 {
251  typedef F A; typedef H B; typedef G C;
252  typedef RATIO_S(B, A) base;
253  typedef RATIO(B, A) AB;
254  inline static const A& a(const F& f, const G& g, const H& h) { return f; }
255  inline static const B& b(const F& f, const G& g, const H& h) { return h; }
256  inline static const C& c(const F& f, const G& g, const H& h) { return g; }
257  enum { value = ::boost::type_traits::ice_not<
258  ::boost::is_same<AB, base>::value>::value };
259  };
260  struct prod2 {
261  typedef G A; typedef H B; typedef F C;
262  typedef RATIO_S(B, A) base;
263  typedef RATIO(B, A) AB;
264  inline static const A& a(const F& f, const G& g, const H& h) { return g; }
265  inline static const B& b(const F& f, const G& g, const H& h) { return h; }
266  inline static const C& c(const F& f, const G& g, const H& h) { return f; }
267  enum { value = ::boost::type_traits::ice_not<
268  ::boost::is_same<AB, base>::value>::value };
269  };
270 
271  typedef typename
272  ::boost::mpl::if_<prod1,
273  prod1,
274  typename ::boost::mpl::if_<prod2,
275  prod2,
276  prod0
277  >::type
278  >::type prod;
279  typedef typename AuxProductRatio2<prod>::type type;
280  inline static type combine(const H& h, const PROD_S(F, G)& fg) {
281  const F& f = fg._1;
282  const G& g = fg._2;
283  const typename prod::A & a = prod::a(f, g, h);
284  const typename prod::B & b = prod::b(f, g, h);
285  const typename prod::C & c = prod::c(f, g, h);
286  return AuxProductRatio2<prod>::combine(a, b, c);
287  }
288  };
289 
290  TEMPL(T3) struct Ratio<PROD_S(A, B), C> :
291  public RatioP1<A, B, C> { };
292 
293  TEMPL(N1T2) struct Ratio<PROD_S(A, B), NUM(n)> :
294  public RatioP1<A, B, NUM(n)> { };
295 
296  TEMPL(T3) struct Ratio<C, PROD_S(A, B)> :
297  public RatioP2<A, B, C> { };
298 
299  TEMPL(T4) struct Ratio<PROD_S(C, D), PROD_S(A, B)> :
300  public RatioP2<A, B, PROD_S(C, D)> { };
301 
302  // simplify ( a + b ) / c trying to simplify ( a / c ) and ( b / c )
303  template <TYPT3, bool simplify = false> struct AuxSumRatio {
304  typedef RATIO_S(SUM_S(A, B), C) type;
305  COMBINE(SUM_S(A, B), C, type(_1, _2));
306  };
307 
308  TEMPL(T3) struct AuxSumRatio<A, B, C, true> {
309  typedef SUM(RATIO(A, C), RATIO(B, C)) type;
310  COMBINE(SUM_S(A, B), C, (_1._1 / _2) + (_1._2 / _2));
311  };
312 
313  TEMPL(T3) struct RatioSimpl {
314  struct ratio1 {
315  typedef RATIO_S(A, C) base;
316  typedef RATIO(A, C) type;
317  enum { value = ::boost::type_traits::ice_not<
318  ::boost::is_same<type, base>::value>::value };
319  };
320  struct ratio2 {
321  typedef RATIO_S(B, C) base;
322  typedef RATIO(B, C) type;
323  enum { value = ::boost::type_traits::ice_not<
324  ::boost::is_same<type, base>::value>::value };
325  };
326  typedef AuxSumRatio<A, B, C,
327  ::boost::type_traits::ice_or<ratio1::value, ratio2::value>::value> aux;
328  typedef typename aux::type type;
329  COMBINE(SUM_S(A, B), C, aux::combine(_1, _2));
330  };
331 
332  TEMPL(T3) struct Ratio<SUM_S(A, B), C> :
333  public RatioSimpl<A, B, C> { };
334 
335  TEMPL(T4) struct Ratio<SUM_S(A, B), PROD_S(C, D)> :
336  public RatioSimpl<A, B, PROD_S(C, D)> { };
337 
338  TEMPL(N1T2) struct Ratio<SUM_S(A, B), NUM(n)> :
339  public RatioSimpl<A, B, NUM(n)> { };
340 
341 }
342 
343 #include "PhysicsTools/Utilities/interface/Simplify_end.h"
344 
345 #endif
funct::value
static const bool value
Definition: Factorize.h:107
TYPN1
#define TYPN1
Definition: Simplify_begin.h:11
newFWLiteAna.base
tuple base
Main Program
Definition: newFWLiteAna.py:92
type
type
Definition: HCALResponse.h:21
funct::num
const Numerical< n > & num()
Definition: Numerical.h:16
funct::RatioP2::prod1::RATIO
typedef RATIO(B, A) AB
funct::POWER
typedef POWER(A, NUM(n)) arg
funct::RatioP1::prod1::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:186
funct::COMBINE
COMBINE(A, NUM(n), num< 1 >()/pow(_1, num<-n >()))
TYPT2
#define TYPT2
Definition: Simplify_begin.h:7
funct::MINUS_S
MINUS_S(B)>
Definition: Factorize.h:99
funct::RatioP1::prod2::RATIO
typedef RATIO(A, B) AB
funct::AuxProductRatio::PROD
typedef PROD(typename Prod::AB, typename Prod::C) type
MINUS
#define MINUS(A)
Definition: Simplify_begin.h:54
B
double_binary B
Definition: DDStreamer.cc:234
funct::AuxProductRatio2::RATIO
typedef RATIO(typename Prod::AB, typename Prod::C) type
funct::RatioP2::prod2::RATIO_S
typedef RATIO_S(B, A) base
funct::PROD_S
PROD_S(A, B)>
Definition: Factorize.h:44
funct::RatioP2::prod2::RATIO
typedef RATIO(B, A) AB
funct::POWER_S
POWER_S(A, NUM(n))>
Definition: Factorize.h:48
funct::RatioP2::prod1::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:255
funct::SUM
typedef SUM(SUM(PROD(NUM(n-p), SIN2(A)), PROD(NUM(m-p), COS2(A))), NUM(p)) type
funct::SimplifyRatioSum::RATIO_S
typedef RATIO_S(SUM(A, B), SUM(B, A)) type
funct::RatioP1::prod2::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:196
funct::SUM_S
SUM_S(B, A)>
Definition: SimplifyRatio.h:102
RATIO_S
#define RATIO_S(A, B)
Definition: Simplify_begin.h:40
funct::RatioP2::prod0::PROD_S
typedef PROD_S(A, B) AB
g
The Signals That Services Can Subscribe To This is based on ActivityRegistry and is current per Services can connect to the signals distributed by the ActivityRegistry in order to monitor the activity of the application Each possible callback has some defined which we here list in angle e g
Definition: Activities.doc:4
funct::RatioP2::prod
::boost::mpl::if_< prod1, prod1, typename::boost::mpl::if_< prod2, prod2, prod0 >::type >::type prod
Definition: SimplifyRatio.h:278
funct::RatioP1::prod2::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:195
TYPN1T1
#define TYPN1T1
Definition: Simplify_begin.h:16
double_binary
Definition: DDStreamer.cc:227
funct::RatioP1::prod2::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:197
FRACT
#define FRACT(N, M)
Definition: Simplify_begin.h:36
funct::AuxSumRatio::COMBINE
COMBINE(SUM_S(A, B), C, type(_1, _2))
funct::RatioP1::prod1::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:185
funct::RatioP1::type
AuxProductRatio< prod >::type type
Definition: SimplifyRatio.h:210
funct::RatioP2::prod2::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:265
funct::RatioP2::prod1::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:256
funct::RatioP2::prod0::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:246
funct::SimplifyPowerRatio< A, B, C, false >::combine
static type combine(const arg1 &_1, const arg2 &_2)
Definition: SimplifyRatio.h:119
funct::AuxProductRatio< Prod, false >::combine
static type combine(const typename Prod::A &a, const typename Prod::B &b, const typename Prod::C &c)
Definition: SimplifyRatio.h:166
funct::combine
static type combine(const A &_1, const B &_2)
Definition: Factorize.h:186
RATIO
#define RATIO(A, B)
Definition: Simplify_begin.h:56
funct::AuxProductRatio2::combine
static type combine(const typename Prod::A &a, const typename Prod::B &b, const typename Prod::C &c)
Definition: SimplifyRatio.h:227
TYPN1T2
#define TYPN1T2
Definition: Simplify_begin.h:17
f
double f[11][100]
Definition: MuScleFitUtils.cc:79
TYPT4
#define TYPT4
Definition: Simplify_begin.h:9
funct::AuxProductRatio::combine
static type combine(const typename Prod::A &a, const typename Prod::B &b, const typename Prod::C &c)
Definition: SimplifyRatio.h:159
Simplify_begin.h
funct::RatioP1::prod1::RATIO_S
typedef RATIO_S(A, B) base
funct::RatioP1::combine
static type combine(const PROD_S(F, G)&fg, const H &h)
Definition: SimplifyRatio.h:211
funct::RatioP2::prod1::RATIO_S
typedef RATIO_S(B, A) base
h
The Signals That Services Can Subscribe To This is based on ActivityRegistry h
Helper function to determine trigger accepts.
Definition: Activities.doc:4
funct::AuxProductRatio2< Prod, false >::combine
static type combine(const typename Prod::A &a, const typename Prod::B &b, const typename Prod::C &c)
Definition: SimplifyRatio.h:235
funct::RATIO_RULE
RATIO_RULE(TYPT1, NUM(0), A, NUM(0), num< 0 >())
funct::RatioP2::combine
static type combine(const H &h, const PROD_S(F, G)&fg)
Definition: SimplifyRatio.h:280
b
double b
Definition: hdecay.h:120
compareJSON.const
string const
Definition: compareJSON.py:14
funct::RatioP1::prod0::b
static const B & b(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:177
funct::RatioP1::prod0::PROD_S
typedef PROD_S(A, B) AB
funct::RatioP2::type
AuxProductRatio2< prod >::type type
Definition: SimplifyRatio.h:279
funct::type
arg type
Definition: Factorize.h:37
funct::RatioP2::prod0::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:247
funct::RatioP2::prod2::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:266
funct::PROD
typedef PROD(F, SUM(RATIO(A, F), RATIO(B, F))) type
TYPN2T2
#define TYPN2T2
Definition: Simplify_begin.h:19
a
double a
Definition: hdecay.h:121
Simplify_end.h
funct::RatioP2::prod0::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:245
funct::TEMPL
TEMPL(XT1) DERIV(X
Definition: Derivative.h:22
TYPT3
#define TYPT3
Definition: Simplify_begin.h:8
funct::RatioP1::prod2::RATIO_S
typedef RATIO_S(A, B) base
funct::DIFF
typedef DIFF(PROD(A, B1), PRIMIT(X, PROD(A1, B1))) type
funct::NUM
NUM(n))
Definition: Factorize.h:92
F
static uInt32 F(BLOWFISH_CTX *ctx, uInt32 x)
Definition: blowfish.cc:281
funct::RatioP1::prod1::RATIO
typedef RATIO(A, B) AB
funct::AuxSumRatio::RATIO_S
typedef RATIO_S(SUM_S(A, B), C) type
funct::RatioP1::prod0::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:176
funct::RatioP1::prod1::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:187
funct::RatioP2::prod1::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:254
funct::D
DecomposeProduct< arg, typename Div::arg > D
Definition: Factorize.h:150
funct::RatioP1::prod0::c
static const C & c(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:178
funct::pow
Power< A, B >::type pow(const A &a, const B &b)
Definition: Power.h:40
TYPT1
#define TYPT1
Definition: Simplify_begin.h:6
funct::RatioP2::prod2::a
static const A & a(const F &f, const G &g, const H &h)
Definition: SimplifyRatio.h:264
funct::RatioP1::prod
::boost::mpl::if_< prod1, prod1, typename::boost::mpl::if_< prod2, prod2, prod0 >::type >::type prod
Definition: SimplifyRatio.h:209
funct::SimplifyRatioSum::COMBINE
COMBINE(SUM(A, B), SUM(B, A), type(_1, _2))
Generated for CMSSW Reference Manual by doxygen 1.8.5