- 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.hpp,v 1.20 2014/01/30 17:23:46 cxsc Exp $ */ 00025 00026 #ifndef _CXSC_L_CINTERVAL_HPP_INCLUDED 00027 #define _CXSC_L_CINTERVAL_HPP_INCLUDED 00028 00029 #include <iostream> 00030 #include <string> 00031 00032 // Headerfile for l_cinterval. 00033 00034 #include "except.hpp" 00035 #include "l_real.hpp" 00036 #include "l_complex.hpp" 00037 #include "l_interval.hpp" 00038 #include "cinterval.hpp" 00039 00040 namespace cxsc { 00041 00042 // class civector; 00043 // class cimatrix; 00044 // class civector_slice; 00045 // class cimatrix_slice; 00046 00048 00053 class l_cinterval 00054 { 00055 private: 00056 // ---- private data ---------------------------------------- 00057 l_interval re; 00058 l_interval im; 00059 00060 public: 00061 // ---- implicit constructors ------------------------------ 00063 inline l_cinterval(void) throw () {} 00065 inline l_cinterval(const interval & a,const interval &b) throw(); 00067 inline l_cinterval(const l_interval & a,const l_interval &b) throw(); 00069 inline l_cinterval(const complex & a, const complex & b) 00070 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 00072 inline l_cinterval(const l_complex & a, const l_complex & b) 00073 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 00074 00075 friend cinterval::cinterval(const l_cinterval &) throw(); 00076 00077 // ---- explicit constructors ------------------------------- 00078 00080 explicit inline l_cinterval(const real & a) throw(); 00082 explicit inline l_cinterval(const l_real & a) throw(); 00084 explicit inline l_cinterval(const interval & a) throw(); 00086 explicit inline l_cinterval(const l_interval & a) throw(); 00088 explicit inline l_cinterval(const complex & a) throw(); 00090 explicit inline l_cinterval(const l_complex & a) throw(); 00092 explicit inline l_cinterval(const cinterval & a) throw(); 00093 00095 explicit l_cinterval(const dotprecision &) throw(); 00097 explicit l_cinterval(const cdotprecision &) throw(); 00099 explicit l_cinterval(const idotprecision &) throw(); 00101 explicit l_cinterval(const cidotprecision &) throw(); 00102 00103 // ---- assignments ----------------------------------------- 00104 00106 inline l_cinterval & operator =(const real &) throw(); 00108 inline l_cinterval & operator =(const l_real &) throw(); 00110 inline l_cinterval & operator =(const interval &) throw(); 00112 inline l_cinterval & operator =(const l_interval &) throw(); 00114 inline l_cinterval & operator =(const complex &) throw(); 00116 inline l_cinterval & operator =(const l_complex &) throw(); 00118 inline l_cinterval & operator =(const cinterval &) throw(); 00120 inline l_cinterval & operator =(const l_cinterval &) throw(); 00122 l_cinterval & operator =(const lx_cinterval &) throw(); 00123 00125 inline l_cinterval & operator =(const dotprecision &) throw(); 00127 inline l_cinterval & operator =(const idotprecision &) throw(); 00129 inline l_cinterval & operator =(const cdotprecision &) throw(); 00131 inline l_cinterval & operator =(const cidotprecision &) throw(); 00132 00133 friend cinterval & cinterval::operator = (const l_cinterval &) throw(); 00134 00135 // ---- Input/Output --------------------------------------- 00136 00138 friend std::ostream & operator << (std::ostream &,const l_cinterval &) 00139 throw(); 00141 friend std::string & operator << (std::string &, const l_cinterval &) 00142 throw(); 00144 friend std::string & operator >> (std::string &, l_cinterval &) 00145 throw(EMPTY_INTERVAL); 00147 friend std::istream & operator >>(std::istream &, l_cinterval &) 00148 throw(EMPTY_INTERVAL); 00150 friend void operator >> (const char *, l_cinterval &) 00151 throw(EMPTY_INTERVAL); 00153 friend void operator >> (const std::string &, l_cinterval &) 00154 throw(EMPTY_INTERVAL); 00155 00156 00157 // ----------------------------- Std.Operators ------------------------------ 00158 00160 friend inline l_cinterval operator -(const l_cinterval &) throw (); 00162 friend inline l_cinterval operator +(const l_cinterval &) throw (); 00164 friend inline bool operator! (const l_cinterval & a) throw (); 00165 00166 // LCI <--> LCI 00167 00169 friend inline l_cinterval operator +(const l_cinterval &, 00170 const l_cinterval &) throw(); 00172 friend inline l_cinterval operator -(const l_cinterval &, 00173 const l_cinterval &) throw(); 00175 friend l_cinterval operator *(const l_cinterval &, 00176 const l_cinterval &) throw(); 00178 friend l_cinterval operator /(const l_cinterval &, 00179 const l_cinterval &) 00180 throw(DIV_BY_ZERO); 00182 friend inline l_cinterval operator |(const l_cinterval &, 00183 const l_cinterval &) throw(); 00185 friend inline l_cinterval operator &(const l_cinterval &, 00186 const l_cinterval &) 00187 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 00188 00190 friend inline l_cinterval & operator +=(l_cinterval &, 00191 const l_cinterval &) throw(); 00193 friend inline l_cinterval & operator -=(l_cinterval &, 00194 const l_cinterval &) throw(); 00196 friend inline l_cinterval & operator *=(l_cinterval &, 00197 const l_cinterval &) throw(); 00199 friend inline l_cinterval & operator /=(l_cinterval &, 00200 const l_cinterval &) throw(); 00202 friend inline l_cinterval & operator |=(l_cinterval &, 00203 const l_cinterval &) throw(); 00205 friend inline l_cinterval & operator &=(l_cinterval &, 00206 const l_cinterval &) 00207 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 00208 00209 // LCI <--> R 00210 00212 friend inline l_cinterval operator +(const l_cinterval &, const real &) 00213 throw(); 00215 friend inline l_cinterval operator +(const real &, const l_cinterval &) 00216 throw(); 00218 friend inline l_cinterval operator -(const l_cinterval &, const real &) 00219 throw(); 00221 friend inline l_cinterval operator -(const real &, const l_cinterval &) 00222 throw(); 00224 friend inline l_cinterval operator *(const l_cinterval &, const real &) 00225 throw(); 00227 friend inline l_cinterval operator *(const real &, const l_cinterval &) 00228 throw(); 00230 friend inline l_cinterval operator /(const l_cinterval &, const real &) 00231 throw(); 00233 friend inline l_cinterval operator /(const real &, const l_cinterval &) 00234 throw(); 00236 friend inline l_cinterval operator |(const l_cinterval &, const real &) 00237 throw(); 00239 friend inline l_cinterval operator |(const real &, const l_cinterval &) 00240 throw(); 00242 friend inline l_cinterval operator &(const l_cinterval &, const real &) 00243 throw(); 00245 friend inline l_cinterval operator &(const real &, const l_cinterval &) 00246 throw(); 00247 00249 friend inline l_cinterval & operator +=(l_cinterval &, const real &) 00250 throw(); 00252 friend inline l_cinterval & operator -=(l_cinterval &, const real &) 00253 throw(); 00255 friend inline l_cinterval & operator *=(l_cinterval &, const real &) 00256 throw(); 00258 friend inline l_cinterval & operator /=(l_cinterval &, const real &) 00259 throw(); 00261 friend inline l_cinterval & operator |=(l_cinterval &, const real &) 00262 throw(); 00264 friend inline l_cinterval & operator &=(l_cinterval &, const real &) 00265 throw(); 00266 00267 // LCI <--> LR 00268 00270 friend inline l_cinterval operator +(const l_cinterval &, const l_real &) 00271 throw(); 00273 friend inline l_cinterval operator +(const l_real &, const l_cinterval &) 00274 throw(); 00276 friend inline l_cinterval operator -(const l_cinterval &, const l_real &) 00277 throw(); 00279 friend inline l_cinterval operator -(const l_real &, const l_cinterval &) 00280 throw(); 00282 friend inline l_cinterval operator *(const l_cinterval &, const l_real &) 00283 throw(); 00285 friend inline l_cinterval operator *(const l_real &, const l_cinterval &) 00286 throw(); 00288 friend inline l_cinterval operator /(const l_cinterval &, const l_real &) 00289 throw(); 00291 friend inline l_cinterval operator /(const l_real &, const l_cinterval &) 00292 throw(); 00294 friend inline l_cinterval operator |(const l_cinterval &, const l_real &) 00295 throw(); 00297 friend inline l_cinterval operator |(const l_real &, const l_cinterval &) 00298 throw(); 00300 friend inline l_cinterval operator &(const l_cinterval &, const l_real &) 00301 throw(); 00303 friend inline l_cinterval operator &(const l_real &, const l_cinterval &) 00304 throw(); 00305 00307 friend inline l_cinterval & operator +=(l_cinterval &, const l_real &) 00308 throw(); 00310 friend inline l_cinterval & operator -=(l_cinterval &, const l_real &) 00311 throw(); 00313 friend inline l_cinterval & operator *=(l_cinterval &, const l_real &) 00314 throw(); 00316 friend inline l_cinterval & operator /=(l_cinterval &, const l_real &) 00317 throw(); 00319 friend inline l_cinterval & operator |=(l_cinterval &, const l_real &) 00320 throw(); 00322 friend inline l_cinterval & operator &=(l_cinterval &, const l_real &) 00323 throw(); 00324 00325 // LCI <--> C 00326 00328 friend inline l_cinterval operator +(const l_cinterval &, 00329 const complex &) throw(); 00331 friend inline l_cinterval operator +(const complex &, 00332 const l_cinterval &) throw(); 00334 friend inline l_cinterval operator -(const l_cinterval &, 00335 const complex &) throw(); 00337 friend inline l_cinterval operator -(const complex &, 00338 const l_cinterval &) throw(); 00340 friend inline l_cinterval operator *(const l_cinterval &, 00341 const complex &) throw(); 00343 friend inline l_cinterval operator *(const complex &, 00344 const l_cinterval &) throw(); 00346 friend inline l_cinterval operator /(const l_cinterval &, 00347 const complex &) throw(); 00349 friend inline l_cinterval operator /(const complex &, 00350 const l_cinterval &) throw(); 00352 friend inline l_cinterval operator |(const l_cinterval &, 00353 const complex &) throw(); 00355 friend inline l_cinterval operator |(const complex &, 00356 const l_cinterval &) throw(); 00358 friend inline l_cinterval operator &(const l_cinterval &, 00359 const complex &) throw(); 00361 friend inline l_cinterval operator &(const complex &, 00362 const l_cinterval &) throw(); 00363 00365 friend inline l_cinterval & operator +=(l_cinterval &, const complex &) 00366 throw(); 00368 friend inline l_cinterval & operator -=(l_cinterval &, const complex &) 00369 throw(); 00371 friend inline l_cinterval & operator *=(l_cinterval &, const complex &) 00372 throw(); 00374 friend inline l_cinterval & operator /=(l_cinterval &, const complex &) 00375 throw(); 00377 friend inline l_cinterval & operator |=(l_cinterval &, const complex &) 00378 throw(); 00380 friend inline l_cinterval & operator &=(l_cinterval &, const complex &) 00381 throw(); 00382 00383 // LCI <--> LC 00384 00386 friend inline l_cinterval operator +(const l_cinterval &, 00387 const l_complex &) throw(); 00389 friend inline l_cinterval operator +(const l_complex &, 00390 const l_cinterval &) throw(); 00392 friend inline l_cinterval operator -(const l_cinterval &, 00393 const l_complex &) throw(); 00395 friend inline l_cinterval operator -(const l_complex &, 00396 const l_cinterval &) throw(); 00398 friend inline l_cinterval operator *(const l_cinterval &, 00399 const l_complex &) throw(); 00401 friend inline l_cinterval operator *(const l_complex &, 00402 const l_cinterval &) throw(); 00404 friend inline l_cinterval operator /(const l_cinterval &, 00405 const l_complex &) throw(); 00407 friend inline l_cinterval operator /(const l_complex &, 00408 const l_cinterval &) throw(); 00410 friend inline l_cinterval operator |(const l_cinterval &, 00411 const l_complex &) throw(); 00413 friend inline l_cinterval operator |(const l_complex &, 00414 const l_cinterval &) throw(); 00416 friend inline l_cinterval operator &(const l_cinterval &, 00417 const l_complex &) throw(); 00419 friend inline l_cinterval operator &(const l_complex &, 00420 const l_cinterval &) throw(); 00421 00423 friend inline l_cinterval & operator +=(l_cinterval &, const l_complex &) 00424 throw(); 00426 friend inline l_cinterval & operator -=(l_cinterval &, const l_complex &) 00427 throw(); 00429 friend inline l_cinterval & operator *=(l_cinterval &, const l_complex &) 00430 throw(); 00432 friend inline l_cinterval & operator /=(l_cinterval &, const l_complex &) 00433 throw(); 00435 friend inline l_cinterval & operator |=(l_cinterval &, const l_complex &) 00436 throw(); 00438 friend inline l_cinterval & operator &=(l_cinterval &, const l_complex &) 00439 throw(); 00440 00441 // LCI <--> I 00442 00444 friend inline l_cinterval operator +(const l_cinterval &, 00445 const interval &) throw(); 00447 friend inline l_cinterval operator +(const interval &, 00448 const l_cinterval &) throw(); 00450 friend inline l_cinterval operator -(const l_cinterval &, 00451 const interval &) throw(); 00453 friend inline l_cinterval operator -(const interval &, 00454 const l_cinterval &) throw(); 00456 friend inline l_cinterval operator *(const l_cinterval &, 00457 const interval &) throw(); 00459 friend inline l_cinterval operator *(const interval &, 00460 const l_cinterval &) throw(); 00462 friend inline l_cinterval operator /(const l_cinterval &, 00463 const interval &) throw(); 00465 friend inline l_cinterval operator /(const interval &, 00466 const l_cinterval &) throw(); 00468 friend inline l_cinterval operator |(const l_cinterval &, 00469 const interval &) throw(); 00471 friend inline l_cinterval operator |(const interval &, 00472 const l_cinterval &) throw(); 00474 friend inline l_cinterval operator &(const l_cinterval &, 00475 const interval &) throw(); 00477 friend inline l_cinterval operator &(const interval &, 00478 const l_cinterval &) throw(); 00479 00481 friend inline l_cinterval & operator +=(l_cinterval &, 00482 const interval &) throw(); 00484 friend inline l_cinterval & operator -=(l_cinterval &, 00485 const interval &) throw(); 00487 friend inline l_cinterval & operator *=(l_cinterval &, 00488 const interval &) throw(); 00490 friend inline l_cinterval & operator /=(l_cinterval &, 00491 const interval &) throw(); 00493 friend inline l_cinterval & operator |=(l_cinterval &, 00494 const interval &) throw(); 00496 friend inline l_cinterval & operator &=(l_cinterval &, 00497 const interval &) throw(); 00498 00499 // LCI <--> LI 00500 00502 friend inline l_cinterval operator +(const l_cinterval &, 00503 const l_interval &) throw(); 00505 friend inline l_cinterval operator +(const l_interval &, 00506 const l_cinterval &) throw(); 00508 friend inline l_cinterval operator -(const l_cinterval &, 00509 const l_interval &) throw(); 00511 friend inline l_cinterval operator -(const l_interval &, 00512 const l_cinterval &) throw(); 00514 friend inline l_cinterval operator *(const l_cinterval &, 00515 const l_interval &) throw(); 00517 friend inline l_cinterval operator *(const l_interval &, 00518 const l_cinterval &) throw(); 00520 friend inline l_cinterval operator /(const l_cinterval &, 00521 const l_interval &) throw(); 00523 friend inline l_cinterval operator /(const l_interval &, 00524 const l_cinterval &) throw(); 00526 friend inline l_cinterval operator |(const l_cinterval &, 00527 const l_interval &) throw(); 00529 friend inline l_cinterval operator |(const l_interval &, 00530 const l_cinterval &) throw(); 00532 friend inline l_cinterval operator &(const l_cinterval &, 00533 const l_interval &) throw(); 00535 friend inline l_cinterval operator &(const l_interval &, 00536 const l_cinterval &) throw(); 00537 00539 friend inline l_cinterval & operator +=(l_cinterval &, 00540 const l_interval &) throw(); 00542 friend inline l_cinterval & operator -=(l_cinterval &, 00543 const l_interval &) throw(); 00545 friend inline l_cinterval & operator *=(l_cinterval &, 00546 const l_interval &) throw(); 00548 friend inline l_cinterval & operator /=(l_cinterval &, 00549 const l_interval &) throw(); 00551 friend inline l_cinterval & operator |=(l_cinterval &, 00552 const l_interval &) throw(); 00554 friend inline l_cinterval & operator &=(l_cinterval &, 00555 const l_interval &) throw(); 00556 00557 // LCI <--> CI 00558 00560 friend inline l_cinterval operator +(const l_cinterval &, 00561 const cinterval &) throw(); 00563 friend inline l_cinterval operator +(const cinterval &, 00564 const l_cinterval &) throw(); 00566 friend inline l_cinterval operator -(const l_cinterval &, 00567 const cinterval &) throw(); 00569 friend inline l_cinterval operator -(const cinterval &, 00570 const l_cinterval &) throw(); 00572 friend inline l_cinterval operator *(const l_cinterval &, 00573 const cinterval &) throw(); 00575 friend inline l_cinterval operator *(const cinterval &, 00576 const l_cinterval &) throw(); 00578 friend inline l_cinterval operator /(const l_cinterval &, 00579 const cinterval &) throw(); 00581 friend inline l_cinterval operator /(const cinterval &, 00582 const l_cinterval &) throw(); 00584 friend inline l_cinterval operator |(const l_cinterval &, 00585 const cinterval &) throw(); 00587 friend inline l_cinterval operator |(const cinterval &, 00588 const l_cinterval &) throw(); 00590 friend inline l_cinterval operator &(const l_cinterval &, 00591 const cinterval &) throw(); 00593 friend inline l_cinterval operator &(const cinterval &, 00594 const l_cinterval &) throw(); 00595 00597 friend inline l_cinterval & operator +=(l_cinterval &, 00598 const cinterval &) throw(); 00600 friend inline l_cinterval & operator -=(l_cinterval &, 00601 const cinterval &) throw(); 00603 friend inline l_cinterval & operator *=(l_cinterval &, 00604 const cinterval &) throw(); 00606 friend inline l_cinterval & operator /=(l_cinterval &, 00607 const cinterval &) throw(); 00609 friend inline l_cinterval & operator |=(l_cinterval &, 00610 const cinterval &) throw(); 00612 friend inline l_cinterval & operator &=(l_cinterval &, 00613 const cinterval &) throw(); 00614 00615 00616 00617 // Convex Hull: LC <--> R; C <--> LR; LC <--> LR; CI <--> LR; CI <--> LC; 00618 00620 friend inline l_cinterval operator |(const l_complex &, const real &) 00621 throw(); 00623 friend inline l_cinterval operator |(const real &, const l_complex &) 00624 throw(); 00626 friend inline l_cinterval operator |(const complex &, const l_real &) 00627 throw(); 00629 friend inline l_cinterval operator |(const l_real &, const complex &) 00630 throw(); 00632 friend inline l_cinterval operator |(const l_complex &, const l_real &) 00633 throw(); 00635 friend inline l_cinterval operator |(const l_real &, const l_complex &) 00636 throw(); 00638 friend inline l_cinterval operator |(const cinterval &, const l_real &) 00639 throw(); 00641 friend inline l_cinterval operator |(const l_real &, const cinterval &) 00642 throw(); 00644 friend inline l_cinterval operator |(const cinterval &, 00645 const l_complex &) throw(); 00647 friend inline l_cinterval operator |(const l_complex &, 00648 const cinterval &) throw(); 00649 00650 // LC <--> I 00651 00653 friend inline l_cinterval operator +(const l_complex &, const interval &) 00654 throw(); 00656 friend inline l_cinterval operator +(const interval &, const l_complex &) 00657 throw(); 00659 friend inline l_cinterval operator -(const l_complex &, const interval &) 00660 throw(); 00662 friend inline l_cinterval operator -(const interval &, const l_complex &) 00663 throw(); 00665 friend inline l_cinterval operator *(const l_complex &, const interval &) 00666 throw(); 00668 friend inline l_cinterval operator *(const interval &, const l_complex &) 00669 throw(); 00671 friend inline l_cinterval operator /(const l_complex &, const interval &) 00672 throw(); 00674 friend inline l_cinterval operator /(const interval &, const l_complex &) 00675 throw(); 00677 friend inline l_cinterval operator |(const l_complex &, const interval &) 00678 throw(); 00680 friend inline l_cinterval operator |(const interval &, const l_complex &) 00681 throw(); 00683 friend inline l_cinterval operator &(const l_complex &, const interval &) 00684 throw(); 00686 friend inline l_cinterval operator &(const interval &, const l_complex &) 00687 throw(); 00688 00689 // C <--> LI 00690 00692 friend inline l_cinterval operator +(const complex &, const l_interval &) 00693 throw(); 00695 friend inline l_cinterval operator +(const l_interval &, const complex &) 00696 throw(); 00698 friend inline l_cinterval operator -(const complex &, const l_interval &) 00699 throw(); 00701 friend inline l_cinterval operator -(const l_interval &, const complex &) 00702 throw(); 00704 friend inline l_cinterval operator *(const complex &, const l_interval &) 00705 throw(); 00707 friend inline l_cinterval operator *(const l_interval &, const complex &) 00708 throw(); 00710 friend inline l_cinterval operator /(const complex &, const l_interval &) 00711 throw(); 00713 friend inline l_cinterval operator /(const l_interval &, const complex &) 00714 throw(); 00716 friend inline l_cinterval operator |(const complex &, const l_interval &) 00717 throw(); 00719 friend inline l_cinterval operator |(const l_interval &, const complex &) 00720 throw(); 00722 friend inline l_cinterval operator &(const complex &, const l_interval &) 00723 throw(); 00725 friend inline l_cinterval operator &(const l_interval &, const complex &) 00726 throw(); 00727 00728 // LC <--> LI 00729 00731 friend inline l_cinterval operator +(const l_complex &, 00732 const l_interval &) throw(); 00734 friend inline l_cinterval operator +(const l_interval &, 00735 const l_complex &) throw(); 00737 friend inline l_cinterval operator -(const l_complex &, 00738 const l_interval &) throw(); 00740 friend inline l_cinterval operator -(const l_interval &, 00741 const l_complex &) throw(); 00743 friend inline l_cinterval operator *(const l_complex &, 00744 const l_interval &) throw(); 00746 friend inline l_cinterval operator *(const l_interval &, 00747 const l_complex &) throw(); 00749 friend inline l_cinterval operator /(const l_complex &, 00750 const l_interval &) throw(); 00752 friend inline l_cinterval operator /(const l_interval &, 00753 const l_complex &) throw(); 00755 friend inline l_cinterval operator |(const l_complex &, 00756 const l_interval &) throw(); 00758 friend inline l_cinterval operator |(const l_interval &, 00759 const l_complex &) throw(); 00761 friend inline l_cinterval operator &(const l_complex &, 00762 const l_interval &) throw(); 00764 friend inline l_cinterval operator &(const l_interval &, 00765 const l_complex &) throw(); 00766 00767 00768 // LC <--> C; LC <--> LC; 00769 00771 friend inline l_cinterval operator |(const l_complex &, const complex &) 00772 throw(); 00774 friend inline l_cinterval operator |(const complex &, const l_complex &) 00775 throw(); 00777 friend inline l_cinterval operator |(const l_complex &, 00778 const l_complex &) throw(); 00779 00780 // --------------------- Comp.Operat. --------------------------------------- 00781 // LCI <--> LCI 00783 friend inline bool operator== (const l_cinterval & a, 00784 const l_cinterval & b) throw(); 00786 friend inline bool operator!= (const l_cinterval & a, 00787 const l_cinterval & b) throw(); 00788 00789 // LCI <--> R 00790 00792 friend inline bool operator== (const l_cinterval & a, const real & b) 00793 throw(); 00795 friend inline bool operator== (const real & a, const l_cinterval & b) 00796 throw(); 00798 friend inline bool operator!= (const l_cinterval & a, const real & b) 00799 throw(); 00801 friend inline bool operator!= (const real & a, const l_cinterval & b) 00802 throw(); 00803 00804 // LCI <--> LR 00805 00807 friend inline bool operator== (const l_cinterval & a, const l_real & b) 00808 throw(); 00810 friend inline bool operator== (const l_real & a, const l_cinterval & b) 00811 throw(); 00813 friend inline bool operator!= (const l_cinterval & a, const l_real & b) 00814 throw(); 00816 friend inline bool operator!= (const l_real & a, const l_cinterval & b) 00817 throw(); 00818 00819 // LCI <--> I 00820 00822 friend inline bool operator== (const l_cinterval & a, 00823 const interval & b) throw(); 00825 friend inline bool operator== (const interval & a, 00826 const l_cinterval & b) throw(); 00828 friend inline bool operator!= (const l_cinterval & a, 00829 const interval & b) throw(); 00831 friend inline bool operator!= (const interval & a, 00832 const l_cinterval & b) throw(); 00833 00834 // LCI <--> LI 00835 00837 friend inline bool operator== (const l_cinterval & a, 00838 const l_interval & b) throw(); 00840 friend inline bool operator== (const l_interval & a, 00841 const l_cinterval & b) throw(); 00843 friend inline bool operator!= (const l_cinterval & a, 00844 const l_interval & b) throw(); 00846 friend inline bool operator!= (const l_interval & a, 00847 const l_cinterval & b) throw(); 00848 00849 // LCI <--> C 00850 00852 friend inline bool operator== (const l_cinterval & a, const complex & b) 00853 throw(); 00855 friend inline bool operator== (const complex & a, const l_cinterval & b) 00856 throw(); 00858 friend inline bool operator!= (const l_cinterval & a, const complex & b) 00859 throw(); 00861 friend inline bool operator!= (const complex & a, const l_cinterval & b) 00862 throw(); 00863 00864 // LCI <--> LC 00865 00867 friend inline bool operator== (const l_cinterval & a, 00868 const l_complex & b) throw(); 00870 friend inline bool operator== (const l_complex & a, 00871 const l_cinterval & b) throw(); 00873 friend inline bool operator!= (const l_cinterval & a, 00874 const l_complex & b) throw(); 00876 friend inline bool operator!= (const l_complex & a, 00877 const l_cinterval & b) throw(); 00878 00879 // LCI <--> CI 00880 00882 friend inline bool operator== (const l_cinterval & a, 00883 const cinterval & b) throw(); 00885 friend inline bool operator== (const cinterval & a, 00886 const l_cinterval & b) throw(); 00888 friend inline bool operator!= (const l_cinterval & a, 00889 const cinterval & b) throw(); 00891 friend inline bool operator!= (const cinterval & a, 00892 const l_cinterval & b) throw(); 00893 00894 // ---- Set Operators ---- 00895 00897 friend inline bool operator <(const l_cinterval &, const l_cinterval &) 00898 throw(); 00900 friend inline bool operator >(const l_cinterval &, const l_cinterval &) 00901 throw(); 00903 friend inline bool operator <=(const l_cinterval &, const l_cinterval &) 00904 throw(); 00906 friend inline bool operator >=(const l_cinterval &, const l_cinterval &) 00907 throw(); 00908 // LCI <--> R 00909 00911 friend inline bool operator <(const real &, const l_cinterval &) 00912 throw(); 00914 friend inline bool operator >(const real &, const l_cinterval &) 00915 throw(); 00917 friend inline bool operator <=(const real &, const l_cinterval &) 00918 throw(); 00920 friend inline bool operator >=(const real &, const l_cinterval &) 00921 throw(); 00922 00924 friend inline bool operator <(const l_cinterval &, const real &) 00925 throw(); 00927 friend inline bool operator >(const l_cinterval &, const real &) 00928 throw(); 00930 friend inline bool operator <=(const l_cinterval &, const real &) 00931 throw(); 00933 friend inline bool operator >=(const l_cinterval &, const real &) 00934 throw(); 00935 00936 // LCI <--> LR 00937 00939 friend inline bool operator <(const l_real &, const l_cinterval &) 00940 throw(); 00942 friend inline bool operator >(const l_real &, const l_cinterval &) 00943 throw(); 00945 friend inline bool operator <=(const l_real &, const l_cinterval &) 00946 throw(); 00948 friend inline bool operator >=(const l_real &, const l_cinterval &) 00949 throw(); 00950 00952 friend inline bool operator <(const l_cinterval &, const l_real &) 00953 throw(); 00955 friend inline bool operator >(const l_cinterval &, const l_real &) 00956 throw(); 00958 friend inline bool operator <=(const l_cinterval &, const l_real &) 00959 throw(); 00961 friend inline bool operator >=(const l_cinterval &, const l_real &) 00962 throw(); 00963 00964 // LCI <--> I 00965 00967 friend inline bool operator <(const interval &, const l_cinterval &) 00968 throw(); 00970 friend inline bool operator >(const interval &, const l_cinterval &) 00971 throw(); 00973 friend inline bool operator <=(const interval &, const l_cinterval &) 00974 throw(); 00976 friend inline bool operator >=(const interval &, const l_cinterval &) 00977 throw(); 00978 00980 friend inline bool operator <(const l_cinterval &, const interval &) 00981 throw(); 00983 friend inline bool operator >(const l_cinterval &, const interval &) 00984 throw(); 00986 friend inline bool operator <=(const l_cinterval &, const interval &) 00987 throw(); 00989 friend inline bool operator >=(const l_cinterval &, const interval &) 00990 throw(); 00991 00992 // LCI <--> LI 00993 00995 friend inline bool operator <(const l_interval &, const l_cinterval &) 00996 throw(); 00998 friend inline bool operator >(const l_interval &, const l_cinterval &) 00999 throw(); 01001 friend inline bool operator <=(const l_interval &, const l_cinterval &) 01002 throw(); 01004 friend inline bool operator >=(const l_interval &, const l_cinterval &) 01005 throw(); 01006 01008 friend inline bool operator <(const l_cinterval &, const l_interval &) 01009 throw(); 01011 friend inline bool operator >(const l_cinterval &, const l_interval &) 01012 throw(); 01014 friend inline bool operator <=(const l_cinterval &, const l_interval &) 01015 throw(); 01017 friend inline bool operator >=(const l_cinterval &, const l_interval &) 01018 throw(); 01019 01020 // LCI <--> C 01021 01023 friend inline bool operator <(const complex &, const l_cinterval &) 01024 throw(); 01026 friend inline bool operator >(const complex &, const l_cinterval &) 01027 throw(); 01029 friend inline bool operator <=(const complex &, const l_cinterval &) 01030 throw(); 01032 friend inline bool operator >=(const complex &, const l_cinterval &) 01033 throw(); 01034 01036 friend inline bool operator <(const l_cinterval &, const complex &) 01037 throw(); 01039 friend inline bool operator >(const l_cinterval &, const complex &) 01040 throw(); 01042 friend inline bool operator <=(const l_cinterval &, const complex &) 01043 throw(); 01045 friend inline bool operator >=(const l_cinterval &, const complex &) 01046 throw(); 01047 01048 // LCI <--> LC 01049 01051 friend inline bool operator <(const l_complex &, const l_cinterval &) 01052 throw(); 01054 friend inline bool operator >(const l_complex &, const l_cinterval &) 01055 throw(); 01057 friend inline bool operator <=(const l_complex &, const l_cinterval &) 01058 throw(); 01060 friend inline bool operator >=(const l_complex &, const l_cinterval &) 01061 throw(); 01062 01064 friend inline bool operator <(const l_cinterval &, const l_complex &) 01065 throw(); 01067 friend inline bool operator >(const l_cinterval &, const l_complex &) 01068 throw(); 01070 friend inline bool operator <=(const l_cinterval &, const l_complex &) 01071 throw(); 01073 friend inline bool operator >=(const l_cinterval &, const l_complex &) 01074 throw(); 01075 01076 // LCI <--> CI 01077 01079 friend inline bool operator <(const cinterval &, const l_cinterval &) 01080 throw(); 01082 friend inline bool operator >(const cinterval &, const l_cinterval &) 01083 throw(); 01085 friend inline bool operator <=(const cinterval &, const l_cinterval &) 01086 throw(); 01088 friend inline bool operator >=(const cinterval &, const l_cinterval &) 01089 throw(); 01090 01092 friend inline bool operator <(const l_cinterval &, const cinterval &) 01093 throw(); 01095 friend inline bool operator >(const l_cinterval &, const cinterval &) 01096 throw(); 01098 friend inline bool operator <=(const l_cinterval &, const cinterval &) 01099 throw(); 01101 friend inline bool operator >=(const l_cinterval &, const cinterval &) 01102 throw(); 01103 01104 // ---- Others ------------------------------------------- 01105 01107 friend inline l_complex Inf(const l_cinterval &) throw(); 01109 friend inline l_complex Sup(const l_cinterval &) throw(); 01110 01112 friend inline l_cinterval & SetInf(l_cinterval &, const complex &) 01113 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01115 friend inline l_cinterval & SetSup(l_cinterval &, const complex &) 01116 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01118 friend inline l_cinterval & SetInf(l_cinterval &, const l_complex &) 01119 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01121 friend inline l_cinterval & SetSup(l_cinterval &, const l_complex &) 01122 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01123 01125 friend inline l_cinterval & SetInf(l_cinterval &, const real &) 01126 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01127 01129 friend inline l_cinterval & SetSup(l_cinterval &, const real &) 01130 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01132 friend inline l_cinterval & SetInf(l_cinterval &, const l_real &) 01133 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01134 01136 friend inline l_cinterval & SetSup(l_cinterval &, const l_real &) 01137 throw(ERROR_CINTERVAL_EMPTY_INTERVAL); 01138 01140 friend inline l_cinterval & UncheckedSetInf(l_cinterval &, 01141 const complex &) throw(); 01143 friend inline l_cinterval & UncheckedSetInf(l_cinterval &, 01144 const real &) throw(); 01146 friend inline l_cinterval & UncheckedSetSup(l_cinterval &, 01147 const complex &) throw(); 01149 friend inline l_cinterval & UncheckedSetSup(l_cinterval &, 01150 const real &) throw(); 01151 01153 friend inline l_cinterval & UncheckedSetInf(l_cinterval &, 01154 const l_complex &) throw(); 01156 friend inline l_cinterval & UncheckedSetInf(l_cinterval &, 01157 const l_real &) throw(); 01159 friend inline l_cinterval & UncheckedSetSup(l_cinterval &, 01160 const l_complex &) throw(); 01162 friend inline l_cinterval & UncheckedSetSup(l_cinterval &, 01163 const l_real &) throw(); 01164 01166 friend l_interval & Re(l_cinterval & a) throw() { return a.re; } 01168 friend l_interval Re(const l_cinterval & a) throw() { return a.re; } 01170 friend l_interval & Im(l_cinterval & a) throw() { return a.im; } 01172 friend l_interval Im(const l_cinterval & a) throw() { return a.im; } 01173 01175 friend l_cinterval & SetRe(l_cinterval & a, const interval & b) 01176 { a.re=b; return a; } 01178 friend l_cinterval & SetIm(l_cinterval & a, const interval & b) 01179 { a.im=b; return a; } 01181 friend l_cinterval & SetRe(l_cinterval & a, const real & b) 01182 { a.re=b; return a; } 01184 friend l_cinterval & SetIm(l_cinterval & a, const real & b) 01185 { a.im=b; return a; } 01186 01188 friend l_cinterval & SetRe(l_cinterval & a, const l_interval & b) 01189 { a.re=b; return a; } 01191 friend l_cinterval & SetIm(l_cinterval & a, const l_interval & b) 01192 { a.im=b; return a; } 01194 friend l_cinterval & SetRe(l_cinterval & a, const l_real & b) 01195 { a.re=b; return a; } 01197 friend l_cinterval & SetIm(l_cinterval & a, const l_real & b) 01198 { a.im=b; return a; } 01199 01201 friend inline l_real InfRe(const l_cinterval &a) throw() 01202 { return Inf(a.re); } 01204 friend inline l_real InfIm(const l_cinterval &a) throw() 01205 { return Inf(a.im); } 01207 friend inline l_real SupRe(const l_cinterval &a) throw() 01208 { return Sup(a.re); } 01210 friend inline l_real SupIm(const l_cinterval &a) throw() 01211 { return Sup(a.im); } 01213 friend inline void times2pown(l_cinterval& x, 01214 const int& n) throw(); 01216 friend inline void Times2pown(l_cinterval& x, 01217 const int& n) throw(); 01218 01219 01221 friend l_interval abs (const l_cinterval &) throw(); 01223 friend inline l_cinterval conj(const l_cinterval &) throw(); 01225 friend inline l_complex mid (const l_cinterval &) throw(); 01227 friend inline l_complex diam(const l_cinterval &) throw(); 01228 01230 friend inline l_cinterval adjust(const l_cinterval &) throw(); 01231 01232 }; 01233 01234 } // namespace cxsc 01235 01236 #include "l_cinterval.inl" 01237 #include "l_cimath.hpp" 01238 01239 #endif // _CXSC_L_CINTERVAL_HPP_INCLUDED
1.7.5.1