- Generated by
1.7.5.1
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C-XSC - A C++ Class Library for Extended Scientific Computing
2.5.4
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00001 /* 00002 ** CXSC is a C++ library for eXtended Scientific Computing (V 2.5.4) 00003 ** 00004 ** Copyright (C) 1990-2000 Institut fuer Angewandte Mathematik, 00005 ** Universitaet Karlsruhe, Germany 00006 ** (C) 2000-2014 Wiss. Rechnen/Softwaretechnologie 00007 ** Universitaet Wuppertal, Germany 00008 ** 00009 ** This library is free software; you can redistribute it and/or 00010 ** modify it under the terms of the GNU Library General Public 00011 ** License as published by the Free Software Foundation; either 00012 ** version 2 of the License, or (at your option) any later version. 00013 ** 00014 ** This library is distributed in the hope that it will be useful, 00015 ** but WITHOUT ANY WARRANTY; without even the implied warranty of 00016 ** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU 00017 ** Library General Public License for more details. 00018 ** 00019 ** You should have received a copy of the GNU Library General Public 00020 ** License along with this library; if not, write to the Free 00021 ** Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA 00022 */ 00023 00024 /* CVS $Id: l_cinterval.inl,v 1.14 2014/01/30 17:23:46 cxsc Exp $ */ 00025 00026 namespace cxsc { 00027 00028 00029 // Inlined functions for l_cinterval. 00030 00031 // ---- implicit constructors ------------------------------ 00032 00033 inline l_cinterval::l_cinterval(const interval & a,const interval & b) throw() 00034 : re(a), im(b) 00035 { 00036 } 00037 00038 inline l_cinterval::l_cinterval(const l_interval & a, 00039 const l_interval & b) throw() 00040 : re(a), im(b) 00041 { 00042 } 00043 00044 inline l_cinterval::l_cinterval(const complex & a, const complex & b) 00045 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00046 : re(Re(a),Re(b)), 00047 im(Im(a),Im(b)) 00048 { 00049 if(Inf(re)>Sup(re) || Inf(im)>Sup(im)) 00050 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("l_cinterval::l_cinterval(const complex & a,const complex & b)")); 00051 } 00052 00053 inline l_cinterval::l_cinterval(const l_complex & a, const l_complex & b) 00054 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00055 : re(Re(a),Re(b)), 00056 im(Im(a),Im(b)) 00057 { 00058 if(Inf(re)>Sup(re) || Inf(im)>Sup(im)) 00059 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("l_cinterval::l_cinterval(const complex & a,const complex & b)")); 00060 } 00061 00062 // ---- explicit constructors ------------------------------ 00063 00064 inline l_cinterval::l_cinterval(const real & a) throw() : re(a,a), im(0,0) {} 00065 inline l_cinterval::l_cinterval(const l_real & a) throw() : re(a,a), im(0,0) {} 00066 00067 00068 inline l_cinterval::l_cinterval(const interval & a) 00069 throw() : re(a), im(0,0) {} 00070 inline l_cinterval::l_cinterval(const l_interval & a) 00071 throw() : re(a), im(0,0) {} 00072 inline l_cinterval::l_cinterval(const complex & a) 00073 throw() : re(Re(a),Re(a)),im(Im(a),Im(a)) {} 00074 inline l_cinterval::l_cinterval(const l_complex & a) 00075 throw() : re(Re(a),Re(a)),im(Im(a),Im(a)) {} 00076 inline l_cinterval::l_cinterval(const cinterval & a) 00077 throw() : re(Inf(Re(a)),Sup(Re(a))),im(Inf(Im(a)),Sup(Im(a))) {} 00078 00079 00080 // ---- assignments ----------------------------------------- 00081 00082 inline l_cinterval & l_cinterval::operator =(const real & a) throw() 00083 { 00084 re=a,im=0.0; 00085 return *this; 00086 } 00087 00088 inline l_cinterval & l_cinterval::operator =(const l_real & a) throw() 00089 { 00090 re=a,im=0.0; 00091 return *this; 00092 } 00093 00094 00095 inline l_cinterval & l_cinterval::operator =(const interval & a) throw() 00096 { 00097 re=a,im=0.0; 00098 return *this; 00099 } 00100 00101 inline l_cinterval & l_cinterval::operator =(const l_interval & a) throw() 00102 { 00103 re=a,im=0.0; 00104 return *this; 00105 } 00106 00107 inline l_cinterval & l_cinterval::operator =(const complex & a) throw() 00108 { 00109 re=Re(a),im=Im(a); 00110 return *this; 00111 } 00112 00113 inline l_cinterval & l_cinterval::operator =(const l_complex & a) throw() 00114 { 00115 re=Re(a),im=Im(a); 00116 return *this; 00117 } 00118 00119 inline l_cinterval & l_cinterval::operator =(const cinterval & a) throw() 00120 { 00121 re = Re(a); 00122 im = Im(a); 00123 return *this; 00124 } 00125 00126 inline l_cinterval & l_cinterval::operator =(const l_cinterval & a) throw() 00127 { 00128 re = a.re; 00129 im = a.im; 00130 return *this; 00131 } 00132 00133 inline l_cinterval & l_cinterval::operator =(const dotprecision & a) throw() 00134 { 00135 return *this = l_cinterval(a); 00136 } 00137 00138 inline l_cinterval & l_cinterval::operator =(const idotprecision & a) throw() 00139 { 00140 return *this = l_cinterval(a); 00141 } 00142 00143 inline l_cinterval & l_cinterval::operator =(const cdotprecision & a) throw() 00144 { 00145 return *this = l_cinterval(a); 00146 } 00147 00148 inline l_cinterval & l_cinterval::operator =(const cidotprecision & a) throw() 00149 { 00150 return *this = l_cinterval(a); 00151 } 00152 00153 00154 // ---- Std.Operators --------------------------------------- 00155 00156 inline l_cinterval operator -(const l_cinterval & a) throw () 00157 { 00158 return l_cinterval(-a.re,-a.im); 00159 } 00160 00161 inline l_cinterval operator +(const l_cinterval & a) throw () 00162 { 00163 return a; 00164 } 00165 00166 inline bool operator! (const l_cinterval & a) throw() 00167 { 00168 return !a.re && !a.im; 00169 } 00170 00171 inline l_cinterval operator +(const l_cinterval & a, 00172 const l_cinterval & b) throw() 00173 { 00174 return l_cinterval(a.re + b.re, a.im + b.im); 00175 } 00176 00177 inline l_cinterval operator -(const l_cinterval & a, 00178 const l_cinterval & b) throw() 00179 { 00180 return l_cinterval(a.re - b.re, a.im - b.im); 00181 } 00182 00183 inline l_cinterval operator &(const l_cinterval & a, const l_cinterval & b) 00184 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00185 { 00186 l_cinterval tmp = a; 00187 l_real x,y; 00188 y = Inf(a.re); x = Inf(b.re); 00189 if (x>y) y = x; // y = max(Inf(a.re), Inf(b.re)) 00190 SetInf(tmp.re, y); 00191 y = Inf(a.im); x = Inf(b.im); 00192 if (x>y) y = x; // y = max(Inf(a.im), Inf(b.im)) 00193 SetInf(tmp.im, y); 00194 y = Sup(a.re); x = Sup(b.re); 00195 if (x<y) y = x; // y = min(Sup(a.re), Sup(b.re)) 00196 SetSup(tmp.re, y); 00197 y = Sup(a.im); x = Sup(b.im); 00198 if (x<y) y = x; // y = min(Sup(a.im), Sup(b.im)) 00199 SetSup(tmp.im, y); 00200 if (Inf(tmp.re) > Sup(tmp.re) || Inf(tmp.im) > Sup(tmp.im)) 00201 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval operator &(const l_cinterval & a,const l_cinterval & b)")); 00202 return tmp; 00203 } 00204 00205 inline l_cinterval operator |(const l_cinterval & a, const l_cinterval & b) 00206 throw() 00207 { 00208 l_cinterval tmp = a; 00209 l_real x,y; 00210 y = Inf(a.re); x = Inf(b.re); 00211 if (x<y) y = x; // y = min(Inf(a.re), Inf(b.re)) 00212 SetInf(tmp.re, y); 00213 y = Inf(a.im); x = Inf(b.im); 00214 if (x<y) y = x; // y = min(Inf(a.im), Inf(b.im)) 00215 SetInf(tmp.im, y); 00216 y = Sup(a.re); x = Sup(b.re); 00217 if (x>y) y = x; // y = max(Sup(a.re), Sup(b.re)) 00218 SetSup(tmp.re, y); 00219 y = Sup(a.im); x = Sup(b.im); 00220 if (x>y) y = x; // y = max(Sup(a.im), Sup(b.im)) 00221 SetSup(tmp.im, y); 00222 return tmp; 00223 } 00224 00225 inline l_cinterval & operator +=(l_cinterval & a, const l_cinterval & b) 00226 throw() { return a = a+b; } 00227 inline l_cinterval & operator -=(l_cinterval & a, const l_cinterval & b) 00228 throw() { return a = a-b; } 00229 inline l_cinterval & operator *=(l_cinterval & a, const l_cinterval & b) 00230 throw() { return a = a*b; } 00231 inline l_cinterval & operator /=(l_cinterval & a, const l_cinterval & b) 00232 throw() { return a = a/b; } 00233 inline l_cinterval & operator |=(l_cinterval & a, const l_cinterval & b) 00234 throw() { return a = a|b; } 00235 inline l_cinterval & operator &=(l_cinterval & a, const l_cinterval & b) 00236 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) { return a = a&b; } 00237 00238 // LCI <--> R 00239 00240 inline l_cinterval operator +(const l_cinterval & a, const real & b) throw() 00241 { return a + l_cinterval(b); } 00242 inline l_cinterval operator +(const real & a, const l_cinterval & b) throw() 00243 { return l_cinterval(a) + b; } 00244 inline l_cinterval operator -(const l_cinterval & a, const real & b) throw() 00245 { return a - l_cinterval(b); } 00246 inline l_cinterval operator -(const real & a, const l_cinterval & b) throw() 00247 { return l_cinterval(a) - b; } 00248 inline l_cinterval operator *(const l_cinterval & a, const real & b) throw() 00249 { return l_cinterval(a.re*b, a.im*b); } 00250 inline l_cinterval operator *(const real & a, const l_cinterval & b) throw() 00251 { return l_cinterval(b.re*a, b.im*a); } 00252 inline l_cinterval operator /(const l_cinterval & a, const real & b) throw() 00253 { return l_cinterval(a.re/b, a.im/b); } 00254 inline l_cinterval operator /(const real & a, const l_cinterval & b) throw() 00255 { return l_cinterval(a) / b; } 00256 inline l_cinterval operator |(const l_cinterval & a, const real & b) throw() 00257 { return a|l_cinterval(b); } 00258 inline l_cinterval operator |(const real & a, const l_cinterval & b) throw() 00259 { return l_cinterval(a)|b; } 00260 inline l_cinterval operator &(const l_cinterval & a, const real & b) throw() 00261 { return a & l_cinterval(b); } 00262 inline l_cinterval operator &(const real & a, const l_cinterval & b) throw() 00263 { return l_cinterval(a) & b; } 00264 00265 inline l_cinterval & operator +=(l_cinterval & a, const real & b) throw() 00266 { return a = a+l_cinterval(b); } 00267 inline l_cinterval & operator -=(l_cinterval & a, const real & b) throw() 00268 { return a = a -l_cinterval(b); } 00269 inline l_cinterval & operator *=(l_cinterval & a, const real & b) throw() 00270 { return a = a * b; } 00271 inline l_cinterval & operator /=(l_cinterval & a, const real & b) throw() 00272 { return a = a / b; } 00273 inline l_cinterval & operator |=(l_cinterval & a, const real & b) throw() 00274 { return a = a|l_cinterval(b); } 00275 inline l_cinterval & operator &=(l_cinterval & a, const real & b) throw() 00276 { return a = a&l_cinterval(b); } 00277 00278 // LCI <--> LR 00279 00280 inline l_cinterval operator +(const l_cinterval & a, const l_real & b) throw() 00281 { return a + l_cinterval(b); } 00282 inline l_cinterval operator +(const l_real & a, const l_cinterval & b) throw() 00283 { return l_cinterval(a) + b; } 00284 inline l_cinterval operator -(const l_cinterval & a, const l_real & b) throw() 00285 { return a - l_cinterval(b); } 00286 inline l_cinterval operator -(const l_real & a, const l_cinterval & b) throw() 00287 { return l_cinterval(a) - b; } 00288 inline l_cinterval operator *(const l_cinterval & a, const l_real & b) throw() 00289 { return l_cinterval(a.re*b, a.im*b); } 00290 inline l_cinterval operator *(const l_real & a, const l_cinterval & b) throw() 00291 { return l_cinterval(b.re*a, b.im*a); } 00292 inline l_cinterval operator /(const l_cinterval & a, const l_real & b) throw() 00293 { return l_cinterval(a.re/b, a.im/b); } 00294 inline l_cinterval operator /(const l_real & a, const l_cinterval & b) throw() 00295 { return l_cinterval(a) / b; } 00296 inline l_cinterval operator |(const l_cinterval & a, const l_real & b) throw() 00297 { return a|l_cinterval(b); } 00298 inline l_cinterval operator |(const l_real & a, const l_cinterval & b) throw() 00299 { return l_cinterval(a)|b; } 00300 inline l_cinterval operator &(const l_cinterval & a, const l_real & b) throw() 00301 { return a & l_cinterval(b); } 00302 inline l_cinterval operator &(const l_real & a, const l_cinterval & b) throw() 00303 { return l_cinterval(a) & b; } 00304 00305 inline l_cinterval & operator +=(l_cinterval & a, const l_real & b) throw() 00306 { return a = a+l_cinterval(b); } 00307 inline l_cinterval & operator -=(l_cinterval & a, const l_real & b) throw() 00308 { return a = a -l_cinterval(b); } 00309 inline l_cinterval & operator *=(l_cinterval & a, const l_real & b) throw() 00310 { return a = a * b; } 00311 inline l_cinterval & operator /=(l_cinterval & a, const l_real & b) throw() 00312 { return a = a / b; } 00313 inline l_cinterval & operator |=(l_cinterval & a, const l_real & b) throw() 00314 { return a = a|l_cinterval(b); } 00315 inline l_cinterval & operator &=(l_cinterval & a, const l_real & b) throw() 00316 { return a = a&l_cinterval(b); } 00317 00318 00319 00320 // LCI <--> C 00321 00322 inline l_cinterval operator +(const l_cinterval & a, const complex & b) 00323 throw() { return a + l_cinterval(b); } 00324 inline l_cinterval operator +(const complex & a, const l_cinterval & b) 00325 throw() { return l_cinterval(a) + b; } 00326 inline l_cinterval operator -(const l_cinterval & a, const complex & b) 00327 throw() { return a - l_cinterval(b); } 00328 inline l_cinterval operator -(const complex & a, const l_cinterval & b) 00329 throw() { return l_cinterval(a) - b; } 00330 inline l_cinterval operator *(const l_cinterval & a, const complex & b) 00331 throw() { return a * l_cinterval(b); } 00332 inline l_cinterval operator *(const complex & a, const l_cinterval & b) 00333 throw() { return l_cinterval(a) * b; } 00334 inline l_cinterval operator /(const l_cinterval & a, const complex & b) 00335 throw() { return a / l_cinterval(b); } 00336 inline l_cinterval operator /(const complex & a, const l_cinterval & b) 00337 throw() { return l_cinterval(a) / b; } 00338 inline l_cinterval operator |(const l_cinterval & a, const complex & b) 00339 throw() { return a | l_cinterval(b); } 00340 inline l_cinterval operator |(const complex & a, const l_cinterval & b) 00341 throw() { return l_cinterval(a) | b; } 00342 inline l_cinterval operator &(const l_cinterval & a, const complex & b) 00343 throw() { return a & l_cinterval(b); } 00344 inline l_cinterval operator &(const complex & a, const l_cinterval & b) 00345 throw() { return l_cinterval(a) & b; } 00346 00347 inline l_cinterval & operator +=(l_cinterval & a, const complex & b) throw() 00348 { return a = a + l_cinterval(b); } 00349 inline l_cinterval & operator -=(l_cinterval & a, const complex & b) throw() 00350 { return a = a - l_cinterval(b); } 00351 inline l_cinterval & operator *=(l_cinterval & a, const complex & b) throw() 00352 { return a = a * l_cinterval(b); } 00353 inline l_cinterval & operator /=(l_cinterval & a, const complex & b) throw() 00354 { return a = a / l_cinterval(b); } 00355 inline l_cinterval & operator |=(l_cinterval & a, const complex & b) throw() 00356 { return a = a | l_cinterval(b); } 00357 inline l_cinterval & operator &=(l_cinterval & a, const complex & b) throw() 00358 { return a = a & l_cinterval(b); } 00359 00360 00361 // LCI <--> LC 00362 00363 inline l_cinterval operator +(const l_cinterval & a, const l_complex & b) 00364 throw() { return a + l_cinterval(b); } 00365 inline l_cinterval operator +(const l_complex & a, const l_cinterval & b) 00366 throw() { return l_cinterval(a) + b; } 00367 inline l_cinterval operator -(const l_cinterval & a, const l_complex & b) 00368 throw() { return a - l_cinterval(b); } 00369 inline l_cinterval operator -(const l_complex & a, const l_cinterval & b) 00370 throw() { return l_cinterval(a) - b; } 00371 inline l_cinterval operator *(const l_cinterval & a, const l_complex & b) 00372 throw() { return a * l_cinterval(b); } 00373 inline l_cinterval operator *(const l_complex & a, const l_cinterval & b) 00374 throw() { return l_cinterval(a) * b; } 00375 inline l_cinterval operator /(const l_cinterval & a, const l_complex & b) 00376 throw() { return a / l_cinterval(b); } 00377 inline l_cinterval operator /(const l_complex & a, const l_cinterval & b) 00378 throw() { return l_cinterval(a) / b; } 00379 inline l_cinterval operator |(const l_cinterval & a, const l_complex & b) 00380 throw() { return a | l_cinterval(b); } 00381 inline l_cinterval operator |(const l_complex & a, const l_cinterval & b) 00382 throw() { return l_cinterval(a) | b; } 00383 inline l_cinterval operator &(const l_cinterval & a, const l_complex & b) 00384 throw() { return a & l_cinterval(b); } 00385 inline l_cinterval operator &(const l_complex & a, const l_cinterval & b) 00386 throw() { return l_cinterval(a) & b; } 00387 00388 inline l_cinterval & operator +=(l_cinterval & a, const l_complex & b) throw() 00389 { return a = a + l_cinterval(b); } 00390 inline l_cinterval & operator -=(l_cinterval & a, const l_complex & b) throw() 00391 { return a = a - l_cinterval(b); } 00392 inline l_cinterval & operator *=(l_cinterval & a, const l_complex & b) throw() 00393 { return a = a * l_cinterval(b); } 00394 inline l_cinterval & operator /=(l_cinterval & a, const l_complex & b) throw() 00395 { return a = a / l_cinterval(b); } 00396 inline l_cinterval & operator |=(l_cinterval & a, const l_complex & b) throw() 00397 { return a = a | l_cinterval(b); } 00398 inline l_cinterval & operator &=(l_cinterval & a, const l_complex & b) throw() 00399 { return a = a & l_cinterval(b); } 00400 00401 00402 00403 // LCI <--> I 00404 00405 inline l_cinterval operator +(const l_cinterval & a, 00406 const interval & b) throw() 00407 { return a + l_cinterval(b); } 00408 inline l_cinterval operator +(const interval & a, 00409 const l_cinterval & b) throw() 00410 { return l_cinterval(a) + b; } 00411 inline l_cinterval operator -(const l_cinterval & a, 00412 const interval & b) throw() 00413 { return a - l_cinterval(b); } 00414 inline l_cinterval operator -(const interval & a, 00415 const l_cinterval & b) throw() 00416 { return l_cinterval(a) - b; } 00417 inline l_cinterval operator *(const l_cinterval & a, 00418 const interval & b) throw() 00419 { return l_cinterval(a.re*b, a.im*b); } 00420 inline l_cinterval operator *(const interval & a, 00421 const l_cinterval & b) throw() 00422 { return l_cinterval(b.re*a, b.im*a); } 00423 inline l_cinterval operator /(const l_cinterval & a, 00424 const interval & b) throw() 00425 { return l_cinterval(a.re/b, a.im/b); } 00426 inline l_cinterval operator /(const interval & a, 00427 const l_cinterval & b) throw() 00428 { return l_cinterval(a) / b; } 00429 inline l_cinterval operator |(const l_cinterval & a, 00430 const interval & b) throw() 00431 { return a | l_cinterval(b); } 00432 inline l_cinterval operator |(const interval & a, 00433 const l_cinterval & b) throw() 00434 { return l_cinterval(a) | b; } 00435 inline l_cinterval operator &(const l_cinterval & a, 00436 const interval & b) throw() 00437 { return a & l_cinterval(b); } 00438 inline l_cinterval operator &(const interval & a, 00439 const l_cinterval & b) throw() 00440 { return l_cinterval(a) & b; } 00441 00442 inline l_cinterval & operator +=(l_cinterval & a, const interval & b) 00443 throw() { return a = a + l_cinterval(b); } 00444 inline l_cinterval & operator -=(l_cinterval & a, const interval & b) 00445 throw() { return a = a - l_cinterval(b); } 00446 inline l_cinterval & operator *=(l_cinterval & a, const interval & b) 00447 throw() { return a = a * l_cinterval(b); } 00448 inline l_cinterval & operator /=(l_cinterval & a, const interval & b) 00449 throw() { return a = a / l_cinterval(b); } 00450 inline l_cinterval & operator |=(l_cinterval & a, const interval & b) 00451 throw() { return a = a | l_cinterval(b); } 00452 inline l_cinterval & operator &=(l_cinterval & a, const interval & b) 00453 throw() { return a = a & l_cinterval(b); } 00454 00455 // LCI <--> LI 00456 00457 inline l_cinterval operator +(const l_cinterval & a, 00458 const l_interval & b) throw() 00459 { return a + l_cinterval(b); } 00460 inline l_cinterval operator +(const l_interval & a, 00461 const l_cinterval & b) throw() 00462 { return l_cinterval(a) + b; } 00463 inline l_cinterval operator -(const l_cinterval & a, 00464 const l_interval & b) throw() 00465 { return a - l_cinterval(b); } 00466 inline l_cinterval operator -(const l_interval & a, 00467 const l_cinterval & b) throw() 00468 { return l_cinterval(a) - b; } 00469 inline l_cinterval operator *(const l_cinterval & a, 00470 const l_interval & b) throw() 00471 { return l_cinterval(a.re*b, a.im*b); } 00472 inline l_cinterval operator *(const l_interval & a, 00473 const l_cinterval & b) throw() 00474 { return l_cinterval(b.re*a, b.im*a); } 00475 inline l_cinterval operator /(const l_cinterval & a, 00476 const l_interval & b) throw() 00477 { return l_cinterval(a.re/b, a.im/b); } 00478 inline l_cinterval operator /(const l_interval & a, 00479 const l_cinterval & b) throw() 00480 { return l_cinterval(a) / b; } 00481 inline l_cinterval operator |(const l_cinterval & a, 00482 const l_interval & b) throw() 00483 { return a | l_cinterval(b); } 00484 inline l_cinterval operator |(const l_interval & a, 00485 const l_cinterval & b) throw() 00486 { return l_cinterval(a) | b; } 00487 inline l_cinterval operator &(const l_cinterval & a, 00488 const l_interval & b) throw() 00489 { return a & l_cinterval(b); } 00490 inline l_cinterval operator &(const l_interval & a, 00491 const l_cinterval & b) throw() 00492 { return l_cinterval(a) & b; } 00493 00494 inline l_cinterval & operator +=(l_cinterval & a, const l_interval & b) 00495 throw() { return a = a + l_cinterval(b); } 00496 inline l_cinterval & operator -=(l_cinterval & a, const l_interval & b) 00497 throw() { return a = a - l_cinterval(b); } 00498 inline l_cinterval & operator *=(l_cinterval & a, const l_interval & b) 00499 throw() { return a = a * l_cinterval(b); } 00500 inline l_cinterval & operator /=(l_cinterval & a, const l_interval & b) 00501 throw() { return a = a / l_cinterval(b); } 00502 inline l_cinterval & operator |=(l_cinterval & a, const l_interval & b) 00503 throw() { return a = a | l_cinterval(b); } 00504 inline l_cinterval & operator &=(l_cinterval & a, const l_interval & b) 00505 throw() { return a = a & l_cinterval(b); } 00506 00507 // LCI <--> CI 00508 00509 inline l_cinterval operator +(const l_cinterval & a, 00510 const cinterval & b) throw() 00511 { return a + l_cinterval(b); } 00512 inline l_cinterval operator +(const cinterval & a, 00513 const l_cinterval & b) throw() 00514 { return l_cinterval(a) + b; } 00515 inline l_cinterval operator -(const l_cinterval & a, 00516 const cinterval & b) throw() 00517 { return a - l_cinterval(b); } 00518 inline l_cinterval operator -(const cinterval & a, 00519 const l_cinterval & b) throw() 00520 { return l_cinterval(a) - b; } 00521 inline l_cinterval operator *(const l_cinterval & a, 00522 const cinterval & b) throw() 00523 { return a * l_cinterval(b); } 00524 inline l_cinterval operator *(const cinterval & a, 00525 const l_cinterval & b) throw() 00526 { return l_cinterval(a) * b; } 00527 inline l_cinterval operator /(const l_cinterval & a, 00528 const cinterval & b) throw() 00529 { return a / l_cinterval(b); } 00530 inline l_cinterval operator /(const cinterval & a, 00531 const l_cinterval & b) throw() 00532 { return l_cinterval(a) / b; } 00533 inline l_cinterval operator |(const l_cinterval & a, 00534 const cinterval & b) throw() 00535 { return a | l_cinterval(b); } 00536 inline l_cinterval operator |(const cinterval & a, 00537 const l_cinterval & b) throw() 00538 { return l_cinterval(a) | b; } 00539 inline l_cinterval operator &(const l_cinterval & a, 00540 const cinterval & b) throw() 00541 { return a & l_cinterval(b); } 00542 inline l_cinterval operator &(const cinterval & a, 00543 const l_cinterval & b) throw() 00544 { return l_cinterval(a) & b; } 00545 00546 inline l_cinterval & operator +=(l_cinterval & a, const cinterval & b) 00547 throw() { return a = a + l_cinterval(b); } 00548 inline l_cinterval & operator -=(l_cinterval & a, const cinterval & b) 00549 throw() { return a = a - l_cinterval(b); } 00550 inline l_cinterval & operator *=(l_cinterval & a, const cinterval & b) 00551 throw() { return a = a * l_cinterval(b); } 00552 inline l_cinterval & operator /=(l_cinterval & a, const cinterval & b) 00553 throw() { return a = a / l_cinterval(b); } 00554 inline l_cinterval & operator |=(l_cinterval & a, const cinterval & b) 00555 throw() { return a = a | l_cinterval(b); } 00556 inline l_cinterval & operator &=(l_cinterval & a, const cinterval & b) 00557 throw() { return a = a & l_cinterval(b); } 00558 00559 // C-R 00560 00561 inline l_cinterval operator |(const l_complex & a, const real & b) throw() 00562 { return l_cinterval(a) | l_cinterval(b); } 00563 inline l_cinterval operator |(const real & a, const l_complex & b) throw() 00564 { return l_cinterval(a) | l_cinterval(b); } 00565 inline l_cinterval operator |(const complex & a, const l_real & b) throw() 00566 { return l_cinterval(a) | l_cinterval(b); } 00567 inline l_cinterval operator |(const l_real & a, const complex & b) throw() 00568 { return l_cinterval(a) | l_cinterval(b); } 00569 inline l_cinterval operator |(const l_complex & a, const l_real & b) throw() 00570 { return l_cinterval(a) | l_cinterval(b); } 00571 inline l_cinterval operator |(const l_real & a, const l_complex & b) throw() 00572 { return l_cinterval(a) | l_cinterval(b); } 00573 inline l_cinterval operator |(const cinterval & a, const l_real & b) throw() 00574 { return l_cinterval(a) | l_cinterval(b); } 00575 inline l_cinterval operator |(const l_real & a, const cinterval & b) throw() 00576 { return l_cinterval(a) | l_cinterval(b); } 00577 inline l_cinterval operator |(const cinterval & a, const l_complex & b) 00578 throw() { return l_cinterval(a) | l_cinterval(b); } 00579 inline l_cinterval operator |(const l_complex & a, const cinterval & b) 00580 throw() { return l_cinterval(a) | l_cinterval(b); } 00581 00582 // LC <--> I 00583 00584 inline l_cinterval operator +(const l_complex & a, const interval & b) throw() 00585 { return l_cinterval(a) + l_cinterval(b); } 00586 inline l_cinterval operator +(const interval & a, const l_complex & b) throw() 00587 { return l_cinterval(a) + l_cinterval(b); } 00588 inline l_cinterval operator -(const l_complex & a, const interval & b) throw() 00589 { return l_cinterval(a) - l_cinterval(b); } 00590 inline l_cinterval operator -(const interval & a, const l_complex & b) throw() 00591 { return l_cinterval(a) - l_cinterval(b); } 00592 inline l_cinterval operator *(const l_complex & a, const interval & b) throw() 00593 { return l_cinterval(a) * b; } 00594 inline l_cinterval operator *(const interval & a, const l_complex & b) throw() 00595 { return l_cinterval(b) * a; } 00596 inline l_cinterval operator /(const l_complex & a, const interval & b) throw() 00597 { return l_cinterval(a) / b; } 00598 inline l_cinterval operator /(const interval & a, const l_complex & b) throw() 00599 { return l_cinterval(a) / l_cinterval(b); } 00600 inline l_cinterval operator |(const l_complex & a, const interval & b) throw() 00601 { return l_cinterval(a) | l_cinterval(b); } 00602 inline l_cinterval operator |(const interval & a, const l_complex & b) throw() 00603 { return l_cinterval(a) | l_cinterval(b); } 00604 inline l_cinterval operator &(const l_complex & a, const interval & b) throw() 00605 { return l_cinterval(a) & l_cinterval(b); } 00606 inline l_cinterval operator &(const interval & a, const l_complex & b) throw() 00607 { return l_cinterval(a) & l_cinterval(b); } 00608 00609 // C <--> LI 00610 00611 inline l_cinterval operator +(const complex & a, const l_interval & b) throw() 00612 { return l_cinterval(a) + l_cinterval(b); } 00613 inline l_cinterval operator +(const l_interval & a, const complex & b) throw() 00614 { return l_cinterval(a) + l_cinterval(b); } 00615 inline l_cinterval operator -(const complex & a, const l_interval & b) throw() 00616 { return l_cinterval(a) - l_cinterval(b); } 00617 inline l_cinterval operator -(const l_interval & a, const complex & b) throw() 00618 { return l_cinterval(a) - l_cinterval(b); } 00619 inline l_cinterval operator *(const complex & a, const l_interval & b) throw() 00620 { return l_cinterval(a) * b; } 00621 inline l_cinterval operator *(const l_interval & a, const complex & b) throw() 00622 { return l_cinterval(b) * a; } 00623 inline l_cinterval operator /(const complex & a, const l_interval & b) throw() 00624 { return l_cinterval(a) / b; } 00625 inline l_cinterval operator /(const l_interval & a, const complex & b) throw() 00626 { return l_cinterval(a) / l_cinterval(b); } 00627 inline l_cinterval operator |(const complex & a, const l_interval & b) throw() 00628 { return l_cinterval(a) | l_cinterval(b); } 00629 inline l_cinterval operator |(const l_interval & a, const complex & b) throw() 00630 { return l_cinterval(a) | l_cinterval(b); } 00631 inline l_cinterval operator &(const complex & a, const l_interval & b) throw() 00632 { return l_cinterval(a) & l_cinterval(b); } 00633 inline l_cinterval operator &(const l_interval & a, const complex & b) throw() 00634 { return l_cinterval(a) & l_cinterval(b); } 00635 00636 // LC <--> LI 00637 00638 inline l_cinterval operator +(const l_complex & a, const l_interval & b) 00639 throw() { return l_cinterval(a) + l_cinterval(b); } 00640 inline l_cinterval operator +(const l_interval & a, const l_complex & b) 00641 throw() { return l_cinterval(a) + l_cinterval(b); } 00642 inline l_cinterval operator -(const l_complex & a, const l_interval & b) 00643 throw() { return l_cinterval(a) - l_cinterval(b); } 00644 inline l_cinterval operator -(const l_interval & a, const l_complex & b) 00645 throw() { return l_cinterval(a) - l_cinterval(b); } 00646 inline l_cinterval operator *(const l_complex & a, const l_interval & b) 00647 throw() { return l_cinterval(a) * b; } 00648 inline l_cinterval operator *(const l_interval & a, const l_complex & b) 00649 throw() { return l_cinterval(b) * a; } 00650 inline l_cinterval operator /(const l_complex & a, const l_interval & b) 00651 throw() { return l_cinterval(a) / b; } 00652 inline l_cinterval operator /(const l_interval & a, const l_complex & b) 00653 throw() { return l_cinterval(a) / l_cinterval(b); } 00654 inline l_cinterval operator |(const l_complex & a, const l_interval & b) 00655 throw() { return l_cinterval(a) | l_cinterval(b); } 00656 inline l_cinterval operator |(const l_interval & a, const l_complex & b) 00657 throw() { return l_cinterval(a) | l_cinterval(b); } 00658 inline l_cinterval operator &(const l_complex & a, const l_interval & b) 00659 throw() { return l_cinterval(a) & l_cinterval(b); } 00660 inline l_cinterval operator &(const l_interval & a, const l_complex & b) 00661 throw() { return l_cinterval(a) & l_cinterval(b); } 00662 00663 00664 // LC <--> C 00665 00666 inline l_cinterval operator |(const l_complex & a, const complex & b) 00667 throw() { return l_cinterval(a) | l_cinterval(b); } 00668 inline l_cinterval operator |(const complex & a, const l_complex & b) 00669 throw() { return l_cinterval(a) | l_cinterval(b); } 00670 inline l_cinterval operator |(const l_complex & a, const l_complex & b) 00671 throw() { return l_cinterval(a) | l_cinterval(b); } 00672 00673 00674 // ---- Comp.Operat. --------------------------------------- 00675 00676 inline bool operator== (const l_cinterval & a, const l_cinterval & b) throw() 00677 { 00678 return a.re==b.re && a.im==b.im; 00679 } 00680 inline bool operator!= (const l_cinterval & a, const l_cinterval & b) throw() 00681 { 00682 return a.re!=b.re || a.im!=b.im; 00683 } 00684 00685 00686 // LCI-R 00687 00688 inline bool operator== (const l_cinterval & a, const real & b) throw() 00689 { return a == l_cinterval(b); } 00690 inline bool operator== (const real & a, const l_cinterval & b) throw() 00691 { return l_cinterval(a) == b; } 00692 inline bool operator!= (const l_cinterval & a, const real & b) throw() 00693 { return a != l_cinterval(b); } 00694 inline bool operator!= (const real & a, const l_cinterval & b) throw() 00695 { return l_cinterval(a) != b; } 00696 00697 // LCI-LR 00698 00699 inline bool operator== (const l_cinterval & a, const l_real & b) throw() 00700 { return a == l_cinterval(b); } 00701 inline bool operator== (const l_real & a, const l_cinterval & b) throw() 00702 { return l_cinterval(a) == b; } 00703 inline bool operator!= (const l_cinterval & a, const l_real & b) throw() 00704 { return a != l_cinterval(b); } 00705 inline bool operator!= (const l_real & a, const l_cinterval & b) throw() 00706 { return l_cinterval(a) != b; } 00707 00708 // LCI <--> I 00709 00710 inline bool operator== (const l_cinterval & a, const interval & b) throw() 00711 { return a == l_cinterval(b); } 00712 inline bool operator== (const interval & a, const l_cinterval & b) throw() 00713 { return l_cinterval(a) == b; } 00714 inline bool operator!= (const l_cinterval & a, const interval & b) throw() 00715 { return a != l_cinterval(b); } 00716 inline bool operator!= (const interval & a, const l_cinterval & b) throw() 00717 { return l_cinterval(a) != b; } 00718 00719 // LCI <--> LI 00720 00721 inline bool operator== (const l_cinterval & a, const l_interval & b) throw() 00722 { return a == l_cinterval(b); } 00723 inline bool operator== (const l_interval & a, const l_cinterval & b) throw() 00724 { return l_cinterval(a) == b; } 00725 inline bool operator!= (const l_cinterval & a, const l_interval & b) throw() 00726 { return a != l_cinterval(b); } 00727 inline bool operator!= (const l_interval & a, const l_cinterval & b) throw() 00728 { return l_cinterval(a) != b; } 00729 00730 // LCI <--> C 00731 00732 inline bool operator== (const l_cinterval & a, const complex & b) throw() 00733 { return a == l_cinterval(b); } 00734 inline bool operator== (const complex & a, const l_cinterval & b) throw() 00735 { return l_cinterval(a) == b; } 00736 inline bool operator!= (const l_cinterval & a, const complex & b) throw() 00737 { return a != l_cinterval(b); } 00738 inline bool operator!= (const complex & a, const l_cinterval & b) throw() 00739 { return l_cinterval(a) != b; } 00740 00741 // LCI <--> LC 00742 00743 inline bool operator== (const l_cinterval & a, const l_complex & b) throw() 00744 { return a == l_cinterval(b); } 00745 inline bool operator== (const l_complex & a, const l_cinterval & b) throw() 00746 { return l_cinterval(a) == b; } 00747 inline bool operator!= (const l_cinterval & a, const l_complex & b) throw() 00748 { return a != l_cinterval(b); } 00749 inline bool operator!= (const l_complex & a, const l_cinterval & b) throw() 00750 { return l_cinterval(a) != b; } 00751 00752 // LCI <--> CI 00753 00754 inline bool operator== (const l_cinterval & a, const cinterval & b) throw() 00755 { return a == l_cinterval(b); } 00756 inline bool operator== (const cinterval & a, const l_cinterval & b) throw() 00757 { return l_cinterval(a) == b; } 00758 inline bool operator!= (const l_cinterval & a, const cinterval & b) throw() 00759 { return a != l_cinterval(b); } 00760 inline bool operator!= (const cinterval & a, const l_cinterval & b) throw() 00761 { return l_cinterval(a) != b; } 00762 00763 00764 // ---- Set Operators ---- 00765 inline bool operator <(const l_cinterval & a, const l_cinterval & b) throw() 00766 { 00767 if (Inf(a.re) <= Inf(b.re) || Sup(a.re) >= Sup(b.re)) 00768 return false; 00769 if (Inf(a.im) <= Inf(b.im) || Sup(a.im) >= Sup(b.im)) 00770 return false; 00771 00772 return true; 00773 } 00774 00775 inline bool operator >(const l_cinterval & a, const l_cinterval & b) throw() 00776 { return b < a; } 00777 00778 inline bool operator <=(const l_cinterval & a, const l_cinterval & b) throw() 00779 { 00780 if (Inf(a.re) < Inf(b.re) || Sup(a.re) > Sup(b.re)) 00781 return false; 00782 if (Inf(a.im) < Inf(b.im) || Sup(a.im) > Sup(b.im)) 00783 return false; 00784 00785 return true; 00786 } 00787 00788 inline bool operator >= (const l_cinterval & a, const l_cinterval & b) throw() 00789 { return b <= a; } 00790 00791 // lCI <--> R 00792 00793 inline bool operator <(const real & a, const l_cinterval & b) throw() 00794 { return l_cinterval(a) < b; } 00795 inline bool operator >(const real & a, const l_cinterval & b) throw() 00796 { return l_cinterval(a) > b; } 00797 inline bool operator <=(const real & a, const l_cinterval & b) throw() 00798 { return l_cinterval(a) <= b; } 00799 inline bool operator >=(const real & a, const l_cinterval & b) throw() 00800 { return l_cinterval(a) >= b; } 00801 00802 inline bool operator <(const l_cinterval & a, const real & b) throw() 00803 { return a < l_cinterval(b); } 00804 inline bool operator >(const l_cinterval & a, const real & b) throw() 00805 { return a > l_cinterval(b); } 00806 inline bool operator <=(const l_cinterval & a, const real & b) throw() 00807 { return a <= l_cinterval(b); } 00808 inline bool operator >=(const l_cinterval & a, const real & b) throw() 00809 { return a >= l_cinterval(b); } 00810 00811 // lCI <--> LR 00812 00813 inline bool operator <(const l_real & a, const l_cinterval & b) throw() 00814 { return l_cinterval(a) < b; } 00815 inline bool operator >(const l_real & a, const l_cinterval & b) throw() 00816 { return l_cinterval(a) > b; } 00817 inline bool operator <=(const l_real & a, const l_cinterval & b) throw() 00818 { return l_cinterval(a) <= b; } 00819 inline bool operator >=(const l_real & a, const l_cinterval & b) throw() 00820 { return l_cinterval(a) >= b; } 00821 00822 inline bool operator <(const l_cinterval & a, const l_real & b) throw() 00823 { return a < l_cinterval(b); } 00824 inline bool operator >(const l_cinterval & a, const l_real & b) throw() 00825 { return a > l_cinterval(b); } 00826 inline bool operator <=(const l_cinterval & a, const l_real & b) throw() 00827 { return a <= l_cinterval(b); } 00828 inline bool operator >=(const l_cinterval & a, const l_real & b) throw() 00829 { return a >= l_cinterval(b); } 00830 00831 // LCI <--> I 00832 00833 inline bool operator <(const interval & a, const l_cinterval & b) throw() 00834 { return l_cinterval(a) < b; } 00835 inline bool operator >(const interval & a, const l_cinterval & b) throw() 00836 { return l_cinterval(a) > b; } 00837 inline bool operator <=(const interval & a, const l_cinterval & b) throw() 00838 { return l_cinterval(a) <= b; } 00839 inline bool operator >=(const interval & a, const l_cinterval & b) throw() 00840 { return l_cinterval(a) >= b; } 00841 00842 inline bool operator <(const l_cinterval & a, const interval & b) throw() 00843 { return a < l_cinterval(b); } 00844 inline bool operator >(const l_cinterval & a, const interval & b) throw() 00845 { return a > l_cinterval(b); } 00846 inline bool operator <=(const l_cinterval & a, const interval & b) throw() 00847 { return a <= l_cinterval(b); } 00848 inline bool operator >=(const l_cinterval & a, const interval & b) throw() 00849 { return a >= l_cinterval(b); } 00850 00851 // LCI <--> LI 00852 00853 inline bool operator <(const l_interval & a, const l_cinterval & b) throw() 00854 { return l_cinterval(a) < b; } 00855 inline bool operator >(const l_interval & a, const l_cinterval & b) throw() 00856 { return l_cinterval(a) > b; } 00857 inline bool operator <=(const l_interval & a, const l_cinterval & b) throw() 00858 { return l_cinterval(a) <= b; } 00859 inline bool operator >=(const l_interval & a, const l_cinterval & b) throw() 00860 { return l_cinterval(a) >= b; } 00861 00862 inline bool operator <(const l_cinterval & a, const l_interval & b) throw() 00863 { return a < l_cinterval(b); } 00864 inline bool operator >(const l_cinterval & a, const l_interval & b) throw() 00865 { return a > l_cinterval(b); } 00866 inline bool operator <=(const l_cinterval & a, const l_interval & b) throw() 00867 { return a <= l_cinterval(b); } 00868 inline bool operator >=(const l_cinterval & a, const l_interval & b) throw() 00869 { return a >= l_cinterval(b); } 00870 00871 // LCI <--> C 00872 00873 inline bool operator <(const complex & a, const l_cinterval & b) throw() 00874 { return l_cinterval(a) < b; } 00875 inline bool operator >(const complex & a, const l_cinterval & b) throw() 00876 { return l_cinterval(a) > b; } 00877 inline bool operator <=(const complex & a, const l_cinterval & b) throw() 00878 { return l_cinterval(a) <= b; } 00879 inline bool operator >=(const complex & a, const l_cinterval & b) throw() 00880 { return l_cinterval(a) >= b; } 00881 00882 inline bool operator <(const l_cinterval & a, const complex & b) throw() 00883 { return a < l_cinterval(b); } 00884 inline bool operator >(const l_cinterval & a, const complex & b) throw() 00885 { return a > l_cinterval(b); } 00886 inline bool operator <=(const l_cinterval & a, const complex & b) throw() 00887 { return a <= l_cinterval(b); } 00888 inline bool operator >=(const l_cinterval & a, const complex & b) throw() 00889 { return a >= l_cinterval(b); } 00890 00891 // LCI <--> LC 00892 00893 inline bool operator <(const l_complex & a, const l_cinterval & b) throw() 00894 { return l_cinterval(a) < b; } 00895 inline bool operator >(const l_complex & a, const l_cinterval & b) throw() 00896 { return l_cinterval(a) > b; } 00897 inline bool operator <=(const l_complex & a, const l_cinterval & b) throw() 00898 { return l_cinterval(a) <= b; } 00899 inline bool operator >=(const l_complex & a, const l_cinterval & b) throw() 00900 { return l_cinterval(a) >= b; } 00901 00902 inline bool operator <(const l_cinterval & a, const l_complex & b) throw() 00903 { return a < l_cinterval(b); } 00904 inline bool operator >(const l_cinterval & a, const l_complex & b) throw() 00905 { return a > l_cinterval(b); } 00906 inline bool operator <=(const l_cinterval & a, const l_complex & b) throw() 00907 { return a <= l_cinterval(b); } 00908 inline bool operator >=(const l_cinterval & a, const l_complex & b) throw() 00909 { return a >= l_cinterval(b); } 00910 00911 // LCI <--> CI 00912 00913 inline bool operator <(const cinterval & a, const l_cinterval & b) throw() 00914 { return l_cinterval(a) < b; } 00915 inline bool operator >(const cinterval & a, const l_cinterval & b) throw() 00916 { return l_cinterval(a) > b; } 00917 inline bool operator <=(const cinterval & a, const l_cinterval & b) throw() 00918 { return l_cinterval(a) <= b; } 00919 inline bool operator >=(const cinterval & a, const l_cinterval & b) throw() 00920 { return l_cinterval(a) >= b; } 00921 00922 inline bool operator <(const l_cinterval & a, const cinterval & b) throw() 00923 { return a < l_cinterval(b); } 00924 inline bool operator >(const l_cinterval & a, const cinterval & b) throw() 00925 { return a > l_cinterval(b); } 00926 inline bool operator <=(const l_cinterval & a, const cinterval & b) throw() 00927 { return a <= l_cinterval(b); } 00928 inline bool operator >=(const l_cinterval & a, const cinterval & b) throw() 00929 { return a >= l_cinterval(b); } 00930 00931 00932 // ---- Others ------------------------------------------- 00933 00934 inline l_complex Inf(const l_cinterval & a) throw() 00935 { return l_complex(Inf(a.re),Inf(a.im)); } 00936 inline l_complex Sup(const l_cinterval & a) throw() 00937 { return l_complex(Sup(a.re),Sup(a.im)); } 00938 00939 inline l_cinterval & SetInf(l_cinterval & a, const complex & b) 00940 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00941 { 00942 Inf(a.re) = Re(b); 00943 Inf(a.im) = Im(b); 00944 00945 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 00946 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetInf(l_cinterval & a, const complex & b)")); 00947 00948 return a; 00949 } 00950 00951 inline l_cinterval & SetSup(l_cinterval & a, const complex & b) 00952 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00953 { 00954 Sup(a.re)=Re(b); 00955 Sup(a.im)=Im(b); 00956 00957 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 00958 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const complex & b)")); 00959 00960 return a; 00961 } 00962 00963 inline l_cinterval & SetInf(l_cinterval & a, const l_complex & b) 00964 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00965 { 00966 Inf(a.re) = Re(b); 00967 Inf(a.im) = Im(b); 00968 00969 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 00970 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetInf(l_cinterval & a, const l_complex & b)")); 00971 00972 return a; 00973 } 00974 00975 inline l_cinterval & SetSup(l_cinterval & a, const l_complex & b) 00976 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00977 { 00978 Sup(a.re)=Re(b); 00979 Sup(a.im)=Im(b); 00980 00981 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 00982 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const l_complex & b)")); 00983 00984 return a; 00985 } 00986 00987 inline l_cinterval & SetInf(l_cinterval & a, const real & b) 00988 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00989 { 00990 Inf(a.re)=b; 00991 Inf(a.im)=0.0; 00992 00993 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 00994 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const real & b)")); 00995 00996 return a; 00997 } 00998 00999 inline l_cinterval & SetSup(l_cinterval & a, const real & b) 01000 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01001 { 01002 Sup(a.re)=b; 01003 Sup(a.im)=0.0; 01004 01005 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01006 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const real & b)")); 01007 01008 return a; 01009 } 01010 01011 inline l_cinterval & SetInf(l_cinterval & a, const l_real & b) 01012 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01013 { 01014 Inf(a.re)=b; 01015 Inf(a.im)=0.0; 01016 01017 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01018 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const l_real & b)")); 01019 01020 return a; 01021 } 01022 01023 inline l_cinterval & SetSup(l_cinterval & a, const l_real & b) 01024 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01025 { 01026 Sup(a.re)=b; 01027 Sup(a.im)=0.0; 01028 01029 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01030 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline l_cinterval & SetSup(l_cinterval & a, const l_real & b)")); 01031 01032 return a; 01033 } 01034 01035 01036 inline l_cinterval & UncheckedSetInf(l_cinterval & a, const complex & b) 01037 throw() 01038 { 01039 Inf(a.re)=Re(b); 01040 Inf(a.im)=Im(b); 01041 return a; 01042 } 01043 01044 inline l_cinterval & UncheckedSetInf(l_cinterval & a, const real & b) 01045 throw() 01046 { 01047 Inf(a.re)=b; 01048 Inf(a.im)=0.0; 01049 return a; 01050 } 01051 01052 inline l_cinterval & UncheckedSetSup(l_cinterval & a, const complex & b) 01053 throw() 01054 { 01055 Sup(a.re)=Re(b); 01056 Sup(a.im)=Im(b); 01057 return a; 01058 } 01059 01060 inline l_cinterval & UncheckedSetSup(l_cinterval & a, const real & b) 01061 throw() 01062 { 01063 Sup(a.re)=b; 01064 Sup(a.im)=0.0; 01065 return a; 01066 } 01067 01068 inline l_cinterval & UncheckedSetInf(l_cinterval & a, const l_complex & b) 01069 throw() 01070 { 01071 Inf(a.re)=Re(b); 01072 Inf(a.im)=Im(b); 01073 return a; 01074 } 01075 01076 inline l_cinterval & UncheckedSetInf(l_cinterval & a, const l_real & b) 01077 throw() 01078 { 01079 Inf(a.re)=b; 01080 Inf(a.im)=0.0; 01081 return a; 01082 } 01083 01084 inline l_cinterval & UncheckedSetSup(l_cinterval & a, const l_complex & b) 01085 throw() 01086 { 01087 Sup(a.re)=Re(b); 01088 Sup(a.im)=Im(b); 01089 return a; 01090 } 01091 01092 inline l_cinterval & UncheckedSetSup(l_cinterval & a, const l_real & b) 01093 throw() 01094 { 01095 Sup(a.re)=b; 01096 Sup(a.im)=0.0; 01097 return a; 01098 } 01099 01100 01101 inline l_cinterval conj(const l_cinterval & a) throw() 01102 { return l_cinterval(a.re,-a.im); } 01103 01104 inline l_complex mid(const l_cinterval &a) throw() 01105 { return l_complex(mid(a.re), mid(a.im)); } 01106 01107 inline l_complex diam(const l_cinterval &a) throw() 01108 { return l_complex(diam(a.re),diam(a.im)); } 01109 01110 inline l_cinterval adjust(const l_cinterval & a) throw() 01111 { 01112 return l_cinterval(adjust(Re(a)),adjust(Im(a))); 01113 01114 // return l_cinterval(a.re,-a.im); 01115 } 01116 01117 inline void times2pown(l_cinterval& x, const int& n) throw() 01118 // Blomquist, 08.03.07; 01119 { 01120 if ( n<-1074 || n>1023 ) 01121 { std::cerr << "Error in: " 01122 << "times2pown(l_cinterval& x, const int& n): " << std::endl 01123 << " -1074 <= n <= +1023 not fulfilled" << std::endl; exit(0); 01124 } 01125 l_interval u(Re(x)),v(Im(x)); 01126 times2pown(u,n); 01127 times2pown(v,n); 01128 x = l_cinterval(u,v); 01129 } 01130 01131 inline void Times2pown(l_cinterval& x, const int& n) throw() 01132 // Blomquist, 28.03.07; 01133 { 01134 01135 l_interval u(Re(x)),v(Im(x)); 01136 Times2pown(u,n); 01137 Times2pown(v,n); 01138 x = l_cinterval(u,v); 01139 } 01140 01141 01142 } // namespace cxsc 01143 01144 01145 01146
1.7.5.1