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da0e9ce3 | 1 | //-------------------------------------------------------------------------- |
2 | // | |
3 | // Environment: | |
4 | // This software is part of the EvtGen package developed jointly | |
5 | // for the BaBar and CLEO collaborations. If you use all or part | |
6 | // of it, please give an appropriate acknowledgement. | |
7 | // | |
8 | // Copyright Information: See EvtGen/COPYRIGHT | |
9 | // Copyright (C) 1998 Caltech, UCSB | |
10 | // | |
11 | // Module: EvtGen/EvtVector4R.hh | |
12 | // | |
13 | // Description: Class to describe complex numbers | |
14 | // | |
15 | // Modification history: | |
16 | // | |
17 | // RYD December 5, 1998 Created | |
18 | // | |
19 | //------------------------------------------------------------------------ | |
20 | ||
21 | #ifndef EVTCOMPLEX_HH | |
22 | #define EVTCOMPLEX_HH | |
23 | ||
24 | #include <iostream> | |
25 | #include <math.h> | |
26 | #include "EvtGenBase/EvtConst.hh" | |
27 | ||
28 | class EvtComplex { | |
29 | ||
30 | inline friend EvtComplex operator*(double d,const EvtComplex& c); | |
31 | inline friend EvtComplex operator*(const EvtComplex& c,double d); | |
32 | inline friend EvtComplex operator/(const EvtComplex& c,double d); | |
33 | inline friend EvtComplex operator/(double d,const EvtComplex& c); | |
34 | inline friend EvtComplex operator*(const EvtComplex& c1,const EvtComplex& c2); | |
35 | inline friend EvtComplex operator/(const EvtComplex& c1,const EvtComplex& c2); | |
36 | inline friend EvtComplex operator+(const EvtComplex& c1,const EvtComplex& c2); | |
37 | inline friend EvtComplex operator-(const EvtComplex& c1,const EvtComplex& c2); | |
38 | inline friend EvtComplex operator-(const EvtComplex& c); | |
39 | inline friend EvtComplex conj(const EvtComplex& c); | |
40 | inline friend double abs(const EvtComplex& c); | |
41 | inline friend double abs2(const EvtComplex& c); | |
42 | inline friend double arg(const EvtComplex& c); | |
43 | inline friend double real(const EvtComplex& c); | |
44 | inline friend double imag(const EvtComplex& c); | |
45 | inline friend EvtComplex exp(const EvtComplex& c); | |
46 | friend std::ostream& operator<<(std::ostream& s, const EvtComplex& c); | |
47 | ||
48 | public: | |
49 | EvtComplex():_rpart(0.0),_ipart(0.0){} | |
50 | EvtComplex(double rpart,double ipart=0.0):_rpart(rpart),_ipart(ipart){} | |
51 | EvtComplex(const EvtComplex& c):_rpart(c._rpart),_ipart(c._ipart){} | |
52 | inline EvtComplex& operator*=(double d); | |
53 | inline EvtComplex& operator/=(double d); | |
54 | EvtComplex& operator*=(EvtComplex c); | |
55 | EvtComplex& operator/=(EvtComplex c); | |
56 | inline EvtComplex& operator=(const EvtComplex& c); | |
57 | inline EvtComplex& operator+=(const EvtComplex& c); | |
58 | inline EvtComplex& operator-=(const EvtComplex& c); | |
59 | inline EvtComplex& operator+=(double d); | |
60 | inline EvtComplex& operator-=(double d); | |
61 | inline int operator==(const EvtComplex c); | |
62 | inline int operator!=(const EvtComplex c); | |
63 | private: | |
64 | double _rpart,_ipart; | |
65 | }; | |
66 | ||
67 | ||
68 | typedef EvtComplex* EvtComplexPtr; | |
69 | typedef EvtComplexPtr* EvtComplexPtrPtr; | |
70 | typedef EvtComplexPtrPtr* EvtComplexPtrPtrPtr; | |
71 | ||
72 | ||
73 | EvtComplex& EvtComplex::operator=(const EvtComplex& c){ | |
74 | ||
75 | _rpart=c._rpart; | |
76 | _ipart=c._ipart; | |
77 | ||
78 | return *this; | |
79 | } | |
80 | ||
81 | EvtComplex& EvtComplex::operator+=(const EvtComplex& c){ | |
82 | ||
83 | _rpart+=c._rpart; | |
84 | _ipart+=c._ipart; | |
85 | ||
86 | return *this; | |
87 | } | |
88 | ||
89 | EvtComplex& EvtComplex::operator-=(const EvtComplex& c){ | |
90 | ||
91 | _rpart-=c._rpart; | |
92 | _ipart-=c._ipart; | |
93 | ||
94 | return *this; | |
95 | } | |
96 | ||
97 | EvtComplex& EvtComplex::operator+=(double d){ | |
98 | ||
99 | _rpart+=d; | |
100 | ||
101 | return *this; | |
102 | } | |
103 | ||
104 | EvtComplex& EvtComplex::operator-=(double d){ | |
105 | ||
106 | _rpart-=d; | |
107 | ||
108 | return *this; | |
109 | } | |
110 | ||
111 | EvtComplex operator*(double d,const EvtComplex& c){ | |
112 | ||
113 | return EvtComplex(c._rpart*d,c._ipart*d); | |
114 | ||
115 | } | |
116 | ||
117 | EvtComplex operator*(const EvtComplex& c, double d){ | |
118 | ||
119 | return EvtComplex(c._rpart*d,c._ipart*d); | |
120 | ||
121 | } | |
122 | ||
123 | ||
124 | ||
125 | EvtComplex operator/(const EvtComplex& c,double d){ | |
126 | ||
127 | return EvtComplex(c._rpart/d,c._ipart/d); | |
128 | ||
129 | } | |
130 | ||
131 | EvtComplex& EvtComplex::operator*=(double d){ | |
132 | ||
133 | _rpart*=d; | |
134 | _ipart*=d; | |
135 | ||
136 | return *this; | |
137 | ||
138 | } | |
139 | ||
140 | ||
141 | EvtComplex& EvtComplex::operator/=(double d){ | |
142 | ||
143 | _rpart/=d; | |
144 | _ipart/=d; | |
145 | ||
146 | return *this; | |
147 | } | |
148 | ||
149 | EvtComplex operator/(double d,const EvtComplex& c) { | |
150 | ||
151 | double Num=d/(c._rpart*c._rpart+c._ipart*c._ipart); | |
152 | ||
153 | return EvtComplex( Num*c._rpart, -Num*c._ipart ); | |
154 | ||
155 | } | |
156 | ||
157 | ||
158 | ||
159 | EvtComplex operator/(const EvtComplex& c1,const EvtComplex& c2){ | |
160 | ||
161 | double inv=1.0/(c2._rpart*c2._rpart+c2._ipart*c2._ipart); | |
162 | ||
163 | return EvtComplex(inv*(c1._rpart*c2._rpart+c1._ipart*c2._ipart), | |
164 | inv*(c1._ipart*c2._rpart-c1._rpart*c2._ipart)); | |
165 | ||
166 | } | |
167 | ||
168 | EvtComplex operator*(const EvtComplex& c1,const EvtComplex& c2){ | |
169 | ||
170 | return EvtComplex(c1._rpart*c2._rpart-c1._ipart*c2._ipart, | |
171 | c1._rpart*c2._ipart+c1._ipart*c2._rpart); | |
172 | ||
173 | } | |
174 | ||
175 | EvtComplex operator-(const EvtComplex& c1,const EvtComplex& c2){ | |
176 | ||
177 | return EvtComplex(c1._rpart-c2._rpart,c1._ipart-c2._ipart); | |
178 | ||
179 | } | |
180 | ||
181 | EvtComplex operator+(const EvtComplex& c1,const EvtComplex& c2){ | |
182 | ||
183 | return EvtComplex(c1._rpart+c2._rpart,c1._ipart+c2._ipart); | |
184 | ||
185 | } | |
186 | ||
187 | int EvtComplex::operator==(const EvtComplex c){ | |
188 | ||
189 | return _rpart==c._rpart&&_ipart==c._ipart; | |
190 | ||
191 | } | |
192 | ||
193 | int EvtComplex::operator!=(const EvtComplex c){ | |
194 | ||
195 | return _rpart!=c._rpart||_ipart!=c._ipart; | |
196 | ||
197 | } | |
198 | ||
199 | ||
200 | EvtComplex operator-(const EvtComplex& c){ | |
201 | ||
202 | return EvtComplex(-c._rpart,-c._ipart); | |
203 | ||
204 | } | |
205 | ||
206 | EvtComplex conj(const EvtComplex& c){ | |
207 | ||
208 | return EvtComplex(c._rpart,-c._ipart); | |
209 | ||
210 | } | |
211 | ||
212 | double abs(const EvtComplex& c){ | |
213 | ||
214 | double c2=c._rpart*c._rpart+c._ipart*c._ipart; | |
215 | if (c2<=0.0) return 0.0; | |
216 | return sqrt(c2); | |
217 | ||
218 | } | |
219 | ||
220 | ||
221 | double abs2(const EvtComplex& c){ | |
222 | ||
223 | return c._rpart*c._rpart+c._ipart*c._ipart; | |
224 | } | |
225 | ||
226 | ||
227 | double arg(const EvtComplex& c){ | |
228 | if ((c._rpart==0)&&(c._ipart==0)) {return 0.0;} | |
229 | if (c._rpart==0){ | |
230 | if (c._ipart>0){ | |
231 | return EvtConst::pi/2; | |
232 | } else { | |
233 | return -EvtConst::pi/2; | |
234 | } | |
235 | } else { | |
236 | return atan2(c._ipart,c._rpart); | |
237 | } | |
238 | } | |
239 | ||
240 | double real(const EvtComplex& c){ | |
241 | ||
242 | return c._rpart; | |
243 | ||
244 | } | |
245 | ||
246 | double imag(const EvtComplex& c){ | |
247 | ||
248 | return c._ipart; | |
249 | ||
250 | } | |
251 | ||
252 | EvtComplex exp(const EvtComplex& c){ | |
253 | ||
254 | return exp(c._rpart)*EvtComplex(cos(c._ipart),sin(c._ipart)); | |
255 | ||
256 | } | |
257 | ||
258 | ||
259 | ||
260 | #endif | |
261 | ||
262 | ||
263 | ||
264 | ||
265 | ||
266 | ||
267 |