- 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: lx_cinterval.inl,v 1.9 2014/01/30 17:23:47 cxsc Exp $ */ 00025 00026 /* 00027 ** F. Blomquist, University of Wuppertal, 19.09.2007; 00028 */ 00029 00030 namespace cxsc { 00031 00032 // -------------------------------------------------------------------------- 00033 // ------ Inline functions and operators related to type lx_cinterval ------- 00034 // -------------------------------------------------------------------------- 00035 00036 // -------------------------------------------------------------------------- 00037 // -------------------------- Constructors ---------------------------------- 00038 // -------------------------------------------------------------------------- 00039 00040 inline lx_cinterval::lx_cinterval(const lx_interval & a, 00041 const lx_interval & b) throw() 00042 : re(a), im(b) { } 00043 00044 inline lx_cinterval::lx_cinterval(const l_interval & a, 00045 const l_interval & b) throw() 00046 : re(a), im(b) { } 00047 00048 inline lx_cinterval::lx_cinterval(const interval & a, 00049 const interval & b) throw() 00050 : re(a), im(b) { } 00051 00052 inline lx_cinterval::lx_cinterval(const l_real & a, 00053 const l_real & b) throw() 00054 : re(a), im(b) { } 00055 00056 inline lx_cinterval::lx_cinterval(const lx_real & a, 00057 const lx_real & b) throw() 00058 : re(a), im(b) { } 00059 00060 inline lx_cinterval::lx_cinterval(const real & a, 00061 const real & b) throw() 00062 : re(a), im(b) { } 00063 00064 inline lx_cinterval::lx_cinterval(const l_cinterval & a) throw() 00065 : re(Re(a)), im(Im(a)) { } 00066 00067 inline lx_cinterval::lx_cinterval(const complex & a) throw() 00068 : re(Re(a)), im(Im(a)) { } 00069 00070 inline lx_cinterval::lx_cinterval(const l_complex & a) throw() 00071 : re(Re(a)), im(Im(a)) { } 00072 00073 inline lx_cinterval::lx_cinterval(const lx_complex & a) throw() 00074 : re(Re(a)), im(Im(a)) { } 00075 00076 inline lx_cinterval::lx_cinterval(const lx_complex & a, const lx_complex & b) 00077 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00078 : re(Re(a),Re(b)), 00079 im(Im(a),Im(b)) 00080 { 00081 if(Inf(re)>Sup(re) || Inf(im)>Sup(im)) 00082 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval::lx_cinterval(const lx_complex & a,const lx_complex & b)")); 00083 } 00084 00085 inline lx_cinterval::lx_cinterval(const l_complex & a, const l_complex & b) 00086 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00087 : re(Re(a),Re(b)), 00088 im(Im(a),Im(b)) 00089 { 00090 if(Inf(re)>Sup(re) || Inf(im)>Sup(im)) 00091 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval::lx_cinterval(const l_complex & a,const l_complex & b)")); 00092 } 00093 00094 inline lx_cinterval::lx_cinterval(const complex & a, const complex & b) 00095 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 00096 : re(Re(a),Re(b)), 00097 im(Im(a),Im(b)) 00098 { 00099 if(Inf(re)>Sup(re) || Inf(im)>Sup(im)) 00100 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval::lx_cinterval(const complex & a,const complex & b)")); 00101 } 00102 00103 inline lx_cinterval::lx_cinterval(const cinterval & a) throw() 00104 : re(Re(a)), im(Im(a)) { } 00105 00106 inline lx_cinterval::lx_cinterval(const real& na, const l_interval &la, 00107 const real& nb, const l_interval &lb) 00108 throw() : re(na,la), im(nb,lb) { } 00109 00110 inline lx_cinterval::lx_cinterval(const real &n, const l_interval &a, 00111 const lx_interval &b) 00112 throw() : re(n,a), im(b) { } 00113 00114 inline lx_cinterval::lx_cinterval(const lx_interval &a, 00115 const real &n, const l_interval &b) 00116 throw() : re(a), im(n,b) { } 00117 00118 inline lx_cinterval::lx_cinterval(const real &nr, const string &sr, 00119 const real &ni, const string &si) 00120 throw() : re(lx_interval(nr,sr)), im(lx_interval(ni,si)) { } 00121 00122 inline lx_cinterval::lx_cinterval(const lx_interval & a) throw() 00123 : re(a), im(0) { } 00124 00125 inline lx_cinterval::lx_cinterval(const l_interval & a) throw() 00126 : re(a), im(0) { } 00127 00128 inline lx_cinterval::lx_cinterval(const interval & a) throw() 00129 : re(a), im(0) { } 00130 00131 inline lx_cinterval::lx_cinterval(const lx_real & a) throw() 00132 : re(a), im(0) { } 00133 00134 inline lx_cinterval::lx_cinterval(const l_real & a) throw() 00135 : re(a), im(0) { } 00136 00137 inline lx_cinterval::lx_cinterval(const real & a) throw() 00138 : re(a), im(0) { } 00139 00140 inline lx_cinterval::lx_cinterval(const real& n, const l_interval &a) throw() 00141 : re(n,a), im(0) { } 00142 00143 00144 00145 // ----------------------------------------------------------------------- 00146 // ------------------------------ Assignments ---------------------------- 00147 // ----------------------------------------------------------------------- 00148 00149 inline lx_cinterval & lx_cinterval::operator = (const lx_cinterval & a) throw() 00150 { 00151 re = a.re; 00152 im = a.im; 00153 return *this; 00154 } 00155 00156 inline lx_cinterval & lx_cinterval::operator = (const l_cinterval & a) throw() 00157 { 00158 re = Re(a); 00159 im = Im(a); 00160 return *this; 00161 } 00162 00163 inline lx_cinterval & lx_cinterval::operator = (const cinterval & a) throw() 00164 { 00165 re = Re(a); 00166 im = Im(a); 00167 return *this; 00168 } 00169 00170 inline lx_cinterval & lx_cinterval::operator = (const lx_interval & a) throw() 00171 { 00172 re = a; 00173 im = 0.0; 00174 return *this; 00175 } 00176 00177 inline lx_cinterval & lx_cinterval::operator = (const l_interval & a) throw() 00178 { 00179 re = a; 00180 im = 0.0; 00181 return *this; 00182 } 00183 00184 inline lx_cinterval & lx_cinterval::operator = (const interval & a) throw() 00185 { 00186 re = a; 00187 im = 0.0; 00188 return *this; 00189 } 00190 00191 inline lx_cinterval & lx_cinterval::operator = (const lx_real & a) throw() 00192 { 00193 re = a; 00194 im = 0.0; 00195 return *this; 00196 } 00197 00198 inline lx_cinterval & lx_cinterval::operator = (const l_real & a) throw() 00199 { 00200 re = a; 00201 im = 0.0; 00202 return *this; 00203 } 00204 00205 inline lx_cinterval & lx_cinterval::operator = (const real & a) throw() 00206 { 00207 re = a; 00208 im = 0.0; 00209 return *this; 00210 } 00211 00212 inline lx_cinterval & lx_cinterval::operator = (const lx_complex & a ) throw() 00213 { 00214 re = Re(a); 00215 im = Im(a); 00216 return *this; 00217 } 00218 00219 inline lx_cinterval & lx_cinterval::operator = (const l_complex & a ) throw() 00220 { 00221 re = Re(a); 00222 im = Im(a); 00223 return *this; 00224 } 00225 00226 inline lx_cinterval & lx_cinterval::operator = (const complex & a ) throw() 00227 { 00228 re = Re(a); 00229 im = Im(a); 00230 return *this; 00231 } 00232 00233 00234 00235 // ----------------------------------------------------------------------- 00236 // ---------------------------- Functions -------------------------------- 00237 // ----------------------------------------------------------------------- 00238 00239 inline lx_complex Inf(const lx_cinterval &a) throw() 00240 { return lx_complex(Inf(a.re),Inf(a.im)); } 00241 00242 inline lx_complex Sup(const lx_cinterval &a) throw() 00243 { return lx_complex(Sup(a.re),Sup(a.im)); } 00244 00245 inline lx_interval Re(const lx_cinterval &a) throw() 00246 { return a.re; } 00247 00248 inline lx_interval Im(const lx_cinterval &a) throw() 00249 { return a.im; } 00250 00251 00252 inline lx_cinterval & SetRe(lx_cinterval &a, const lx_interval &b) 00253 { a.re=b; return a; } 00254 inline lx_cinterval & SetRe(lx_cinterval &a, const l_interval &b) 00255 { a.re=b; return a; } 00256 inline lx_cinterval & SetRe(lx_cinterval &a, const interval &b) 00257 { a.re=b; return a; } 00258 inline lx_cinterval & SetRe(lx_cinterval &a, const lx_real &b) 00259 { a.re=b; return a; } 00260 inline lx_cinterval & SetRe(lx_cinterval &a, const l_real &b) 00261 { a.re=b; return a; } 00262 inline lx_cinterval & SetRe(lx_cinterval &a, const real &b) 00263 { a.re=b; return a; } 00264 00265 inline lx_cinterval & SetIm(lx_cinterval &a, const lx_interval &b) 00266 { a.im=b; return a; } 00267 inline lx_cinterval & SetIm(lx_cinterval &a, const l_interval &b) 00268 { a.im=b; return a; } 00269 inline lx_cinterval & SetIm(lx_cinterval &a, const interval &b) 00270 { a.im=b; return a; } 00271 inline lx_cinterval & SetIm(lx_cinterval &a, const lx_real &b) 00272 { a.im=b; return a; } 00273 inline lx_cinterval & SetIm(lx_cinterval &a, const l_real &b) 00274 { a.im=b; return a; } 00275 inline lx_cinterval & SetIm(lx_cinterval &a, const real &b) 00276 { a.im=b; return a; } 00277 00278 00279 inline lx_real InfRe(const lx_cinterval &a) throw() 00280 { return Inf(a.re); } 00281 inline lx_real InfIm(const lx_cinterval &a) throw() 00282 { return Inf(a.im); } 00283 inline lx_real SupRe(const lx_cinterval &a) throw() 00284 { return Sup(a.re); } 00285 inline lx_real SupIm(const lx_cinterval &a) throw() 00286 { return Sup(a.im); } 00287 00288 inline lx_complex mid(const lx_cinterval &a) throw() 00289 { return lx_complex(mid(a.re),mid(a.im)); } 00290 00291 inline lx_complex diam(const lx_cinterval &a) throw() 00292 { return lx_complex(diam(a.re),diam(a.im)); } 00293 00294 inline real expo_Re(const lx_cinterval &a) throw() 00295 { return expo(a.re); } 00296 00297 inline real expo_Im(const lx_cinterval &a) throw() 00298 { return expo(a.im); } 00299 00300 inline l_interval li_part_Re(const lx_cinterval &a) throw() 00301 { return li_part(a.re); } 00302 00303 inline l_interval li_part_Im(const lx_cinterval &a) throw() 00304 { return li_part(a.im); } 00305 00306 inline lx_cinterval adjust(const lx_cinterval &a) throw() 00307 { return lx_cinterval(adjust(a.re),adjust(a.im)); } 00308 00309 inline lx_cinterval conj(const lx_cinterval &a) throw() 00310 { return lx_cinterval(a.re,-a.im); } 00311 00312 inline void times2pown(lx_cinterval& x, const real &n) throw() 00313 { 00314 lx_interval a(x.re),b(x.im); 00315 times2pown(a,n); 00316 times2pown(b,n); 00317 x = lx_cinterval(a,b); 00318 } 00319 00320 inline lx_interval abs(const lx_cinterval &a) throw() 00321 { 00322 return sqrtx2y2(a.re,a.im); 00323 } 00324 00325 // ----------------------------------------------------------------------- 00326 // ------------------------ Monadic Operators ---------------------------- 00327 // ----------------------------------------------------------------------- 00328 00329 inline lx_cinterval operator-(const lx_cinterval & a) throw() 00330 { return lx_cinterval(-a.re,-a.im); } 00331 00332 inline lx_cinterval operator+(const lx_cinterval & a) throw() 00333 { return a; } 00334 00335 00336 // ----------------------------------------------------------------------- 00337 // ----------------------- Arithmetic Operators -------------------------- 00338 // ----------------------------------------------------------------------- 00339 00340 inline lx_cinterval operator + (const lx_cinterval &a, const lx_cinterval &b) 00341 throw() 00342 { return lx_cinterval(a.re + b.re, a.im + b.im); } 00343 00344 inline lx_cinterval operator + (const lx_cinterval &a, const l_cinterval &b) 00345 throw() 00346 { return lx_cinterval(a.re + Re(b), a.im + Im(b)); } 00347 00348 inline lx_cinterval operator + (const l_cinterval &a, const lx_cinterval &b) 00349 throw() 00350 { return lx_cinterval(Re(a) + b.re, Im(a) + b.im); } 00351 00352 inline lx_cinterval operator + (const lx_cinterval &a, const cinterval &b) 00353 throw() 00354 { return lx_cinterval(a.re + Re(b), a.im + Im(b)); } 00355 00356 inline lx_cinterval operator + (const cinterval &a, const lx_cinterval &b) 00357 throw() 00358 { return lx_cinterval(Re(a) + b.re, Im(a) + b.im); } 00359 00360 inline lx_cinterval operator + (const lx_cinterval &a, const lx_interval &b) 00361 throw() 00362 { return lx_cinterval(a.re + b, a.im); } 00363 00364 inline lx_cinterval operator + (const lx_interval &a, const lx_cinterval &b) 00365 throw() 00366 { return lx_cinterval(a + b.re, b.im); } 00367 00368 inline lx_cinterval operator + (const lx_cinterval &a, const l_interval &b) 00369 throw() 00370 { return lx_cinterval(a.re + b, a.im); } 00371 00372 inline lx_cinterval operator + (const l_interval &a, const lx_cinterval &b) 00373 throw() 00374 { return lx_cinterval(a + b.re, b.im); } 00375 00376 inline lx_cinterval operator + (const lx_cinterval &a, const lx_real &b) throw() 00377 { return lx_cinterval(a.re + b, a.im); } 00378 00379 inline lx_cinterval operator + (const lx_real &a, const lx_cinterval &b) throw() 00380 { return lx_cinterval(a + b.re, b.im); } 00381 00382 inline lx_cinterval operator + (const lx_cinterval &a, const l_real &b) throw() 00383 { return lx_cinterval(a.re + b, a.im); } 00384 00385 inline lx_cinterval operator + (const l_real &a, const lx_cinterval &b) throw() 00386 { return lx_cinterval(a + b.re, b.im); } 00387 00388 inline lx_cinterval operator + (const lx_cinterval &a, const real &b) throw() 00389 { return lx_cinterval(a.re + b, a.im); } 00390 00391 inline lx_cinterval operator + (const real &a, const lx_cinterval &b) throw() 00392 { return lx_cinterval(a + b.re, b.im); } 00393 00394 inline lx_cinterval operator + (const lx_cinterval &a, const complex &b) throw() 00395 { return lx_cinterval(a.re + Re(b), a.im + Im(b)); } 00396 inline lx_cinterval operator + (const complex &a, const lx_cinterval &b) throw() 00397 { return lx_cinterval(Re(a) + b.re, Im(a) + b.im); } 00398 00399 inline lx_cinterval operator + (const lx_cinterval &a, const l_complex &b) 00400 throw() { return lx_cinterval(a.re + Re(b), a.im + Im(b)); } 00401 inline lx_cinterval operator + (const l_complex &a, const lx_cinterval &b) 00402 throw() { return lx_cinterval(Re(a) + b.re, Im(a) + b.im); } 00403 00404 inline lx_cinterval operator + (const lx_cinterval &a, const lx_complex &b) 00405 throw() { return lx_cinterval(a.re + Re(b), a.im + Im(b)); } 00406 inline lx_cinterval operator + (const lx_complex &a, const lx_cinterval &b) 00407 throw() { return lx_cinterval(Re(a) + b.re, Im(a) + b.im); } 00408 00409 00410 inline lx_cinterval & operator +=(lx_cinterval &a, const lx_cinterval &b) throw() 00411 { return a = a+b; } 00412 00413 inline lx_cinterval & operator +=(lx_cinterval &a, const lx_interval &b) throw() 00414 { return a = a+b; } 00415 00416 inline lx_cinterval & operator +=(lx_cinterval &a, const l_interval &b) throw() 00417 { return a = a+b; } 00418 00419 inline lx_cinterval & operator +=(lx_cinterval &a, const l_cinterval &b) throw() 00420 { return a = a+b; } 00421 00422 inline lx_cinterval & operator +=(lx_cinterval &a, const l_real &b) throw() 00423 { return a = a+b; } 00424 00425 inline lx_cinterval & operator +=(lx_cinterval &a, const lx_real &b) throw() 00426 { return a = a+b; } 00427 00428 inline lx_cinterval & operator +=(lx_cinterval &a, const real &b) throw() 00429 { return a = a+b; } 00430 00431 inline lx_cinterval & operator +=(lx_cinterval &a, const interval &b) throw() 00432 { return a = a+b; } 00433 00434 inline lx_cinterval & operator +=(lx_cinterval &a, const cinterval &b) throw() 00435 { return a = a+b; } 00436 00437 inline lx_cinterval & operator +=(lx_cinterval &a, const complex &b) throw() 00438 { return a = a+b; } 00439 00440 inline lx_cinterval & operator +=(lx_cinterval &a, const l_complex &b) throw() 00441 { return a = a+b; } 00442 00443 inline lx_cinterval & operator +=(lx_cinterval &a, const lx_complex &b) throw() 00444 { return a = a+b; } 00445 00446 00447 inline lx_cinterval operator - (const lx_cinterval &a, const lx_cinterval &b) 00448 throw() { return lx_cinterval(a.re - b.re, a.im - b.im); } 00449 00450 inline lx_cinterval operator - (const lx_cinterval &a, const l_cinterval &b) 00451 throw() { return lx_cinterval(a.re - Re(b), a.im - Im(b)); } 00452 00453 inline lx_cinterval operator - (const l_cinterval &a, const lx_cinterval &b) 00454 throw() { return lx_cinterval(Re(a) - b.re, Im(a) - b.im); } 00455 00456 inline lx_cinterval operator - (const lx_cinterval &a, const cinterval &b) 00457 throw() { return lx_cinterval(a.re - Re(b), a.im - Im(b)); } 00458 00459 inline lx_cinterval operator - (const cinterval &a, const lx_cinterval &b) 00460 throw() { return lx_cinterval(Re(a) - b.re, Im(a) - b.im); } 00461 00462 inline lx_cinterval operator - (const lx_cinterval &a, const lx_interval &b) 00463 throw() { return lx_cinterval(a.re - b, a.im); } 00464 00465 inline lx_cinterval operator - (const lx_interval &a, const lx_cinterval &b) 00466 throw() { return lx_cinterval(a - b.re, -b.im); } 00467 00468 inline lx_cinterval operator - (const lx_cinterval &a, const l_interval &b) 00469 throw() { return lx_cinterval(a.re - b, a.im); } 00470 00471 inline lx_cinterval operator - (const l_interval &a, const lx_cinterval &b) 00472 throw() { return lx_cinterval(a - b.re, -b.im); } 00473 00474 inline lx_cinterval operator - (const lx_cinterval &a, const lx_real &b) throw() 00475 { return lx_cinterval(a.re - b, a.im); } 00476 00477 inline lx_cinterval operator - (const lx_real &a, const lx_cinterval &b) throw() 00478 { return lx_cinterval(a - b.re, -b.im); } 00479 00480 inline lx_cinterval operator - (const lx_cinterval &a, const l_real &b) throw() 00481 { return lx_cinterval(a.re - b, a.im); } 00482 00483 inline lx_cinterval operator - (const l_real &a, const lx_cinterval &b) throw() 00484 { return lx_cinterval(a - b.re, -b.im); } 00485 00486 inline lx_cinterval operator - (const lx_cinterval &a, const real &b) throw() 00487 { return lx_cinterval(a.re - b, a.im); } 00488 00489 inline lx_cinterval operator - (const real &a, const lx_cinterval &b) throw() 00490 { return lx_cinterval(a - b.re, -b.im); } 00491 00492 inline lx_cinterval operator - (const lx_cinterval &a, const complex &b) throw() 00493 { return lx_cinterval(a.re - Re(b), a.im - Im(b)); } 00494 inline lx_cinterval operator - (const complex &a, const lx_cinterval &b) throw() 00495 { return lx_cinterval(Re(a) - b.re, Im(a) - b.im); } 00496 inline lx_cinterval operator - (const lx_cinterval &a, const l_complex &b) 00497 throw() { return lx_cinterval(a.re - Re(b), a.im - Im(b)); } 00498 inline lx_cinterval operator - (const l_complex &a, const lx_cinterval &b) 00499 throw() { return lx_cinterval(Re(a) - b.re, Im(a) - b.im); } 00500 inline lx_cinterval operator - (const lx_cinterval &a, const lx_complex &b) 00501 throw() { return lx_cinterval(a.re - Re(b), a.im - Im(b)); } 00502 inline lx_cinterval operator - (const lx_complex &a, const lx_cinterval &b) 00503 throw() { return lx_cinterval(Re(a) - b.re, Im(a) - b.im); } 00504 00505 00506 inline lx_cinterval & operator -=(lx_cinterval &a, const lx_cinterval &b) throw() 00507 { return a = a-b; } 00508 00509 inline lx_cinterval & operator -=(lx_cinterval &a, const lx_interval &b) throw() 00510 { return a = a-b; } 00511 00512 inline lx_cinterval & operator -=(lx_cinterval &a, const l_interval &b) throw() 00513 { return a = a-b; } 00514 00515 inline lx_cinterval & operator -=(lx_cinterval &a, const l_cinterval &b) throw() 00516 { return a = a-b; } 00517 00518 inline lx_cinterval & operator -=(lx_cinterval &a, const l_real &b) throw() 00519 { return a = a-b; } 00520 00521 inline lx_cinterval & operator -=(lx_cinterval &a, const lx_real &b) throw() 00522 { return a = a-b; } 00523 00524 inline lx_cinterval & operator -=(lx_cinterval &a, const real &b) throw() 00525 { return a = a-b; } 00526 00527 inline lx_cinterval & operator -=(lx_cinterval &a, const interval &b) throw() 00528 { return a = a-b; } 00529 00530 inline lx_cinterval & operator -=(lx_cinterval &a, const cinterval &b) throw() 00531 { return a = a-b; } 00532 inline lx_cinterval & operator -=(lx_cinterval &a, const complex &b) throw() 00533 { return a = a-b; } 00534 inline lx_cinterval & operator -=(lx_cinterval &a, const l_complex &b) throw() 00535 { return a = a-b; } 00536 inline lx_cinterval & operator -=(lx_cinterval &a, const lx_complex &b) throw() 00537 { return a = a-b; } 00538 00539 00540 inline lx_cinterval operator * (const lx_cinterval &a,const lx_cinterval &b) 00541 throw() 00542 { return lx_cinterval(a.re*b.re - a.im*b.im, a.im*b.re + a.re*b.im); } 00543 00544 inline lx_cinterval operator * (const lx_cinterval &a, const l_cinterval &b) 00545 throw() 00546 { return a * lx_cinterval(b); } 00547 00548 inline lx_cinterval operator * (const l_cinterval &a, const lx_cinterval &b) 00549 throw() 00550 { return lx_cinterval(a) * b; } 00551 00552 inline lx_cinterval operator * (const lx_cinterval &a, const cinterval &b) 00553 throw() 00554 { return a * lx_cinterval(b); } 00555 00556 inline lx_cinterval operator * (const cinterval &a, const lx_cinterval &b) 00557 throw() 00558 { return lx_cinterval(a) * b; } 00559 00560 00561 inline lx_cinterval operator * (const lx_cinterval &a, const lx_interval &b) 00562 throw() 00563 { return lx_cinterval(a.re*b, a.im*b); } 00564 00565 inline lx_cinterval operator * (const lx_interval &a, const lx_cinterval &b) 00566 throw() 00567 { return lx_cinterval(a*b.re, a*b.im); } 00568 00569 inline lx_cinterval operator * (const lx_cinterval &a, const l_interval &b) 00570 throw() 00571 { return lx_cinterval(a.re*b, a.im*b); } 00572 00573 inline lx_cinterval operator * (const l_interval &a, const lx_cinterval &b) 00574 throw() 00575 { return lx_cinterval(a*b.re, a*b.im); } 00576 00577 inline lx_cinterval operator * (const lx_cinterval &a, const lx_real &b) throw() 00578 { return lx_cinterval(a.re*b, a.im*b); } 00579 00580 inline lx_cinterval operator * (const lx_real &a, const lx_cinterval &b) throw() 00581 { return lx_cinterval(a*b.re, a*b.im); } 00582 00583 inline lx_cinterval operator * (const lx_cinterval &a, const l_real &b) throw() 00584 { return lx_cinterval(a.re*b, a.im*b); } 00585 00586 inline lx_cinterval operator * (const l_real &a, const lx_cinterval &b) throw() 00587 { return lx_cinterval(a*b.re, a*b.im); } 00588 00589 inline lx_cinterval operator * (const lx_cinterval &a, const real &b) throw() 00590 { return lx_cinterval(a.re*b, a.im*b); } 00591 00592 inline lx_cinterval operator * (const real &a, const lx_cinterval &b) throw() 00593 { return lx_cinterval(a*b.re, a*b.im); } 00594 00595 inline lx_cinterval operator * (const lx_cinterval &a, const complex &b) throw() 00596 { return a * lx_cinterval(b); } 00597 inline lx_cinterval operator * (const complex &a, const lx_cinterval &b) throw() 00598 { return lx_cinterval(a) * b; } 00599 inline lx_cinterval operator * (const lx_cinterval &a, const l_complex &b) 00600 throw() { return a * lx_cinterval(b); } 00601 inline lx_cinterval operator * (const l_complex &a, const lx_cinterval &b) 00602 throw() { return lx_cinterval(a) * b; } 00603 inline lx_cinterval operator * (const lx_cinterval &a, const lx_complex &b) 00604 throw() { return a * lx_cinterval(b); } 00605 inline lx_cinterval operator * (const lx_complex &a, const lx_cinterval &b) 00606 throw() { return lx_cinterval(a) * b; } 00607 00608 00609 inline lx_cinterval & operator *=(lx_cinterval &a, const lx_cinterval &b) throw() 00610 { return a = a*b; } 00611 00612 inline lx_cinterval & operator *=(lx_cinterval &a, const lx_interval &b) throw() 00613 { return a = a*b; } 00614 00615 inline lx_cinterval & operator *=(lx_cinterval &a, const l_interval &b) throw() 00616 { return a = a*b; } 00617 00618 inline lx_cinterval & operator *=(lx_cinterval &a, const l_cinterval &b) throw() 00619 { return a = a*b; } 00620 00621 inline lx_cinterval & operator *=(lx_cinterval &a, const l_real &b) throw() 00622 { return a = a*b; } 00623 00624 inline lx_cinterval & operator *=(lx_cinterval &a, const lx_real &b) throw() 00625 { return a = a*b; } 00626 00627 inline lx_cinterval & operator *=(lx_cinterval &a, const real &b) throw() 00628 { return a = a*b; } 00629 00630 inline lx_cinterval & operator *=(lx_cinterval &a, const interval &b) throw() 00631 { return a = a*b; } 00632 00633 inline lx_cinterval & operator *=(lx_cinterval &a, const cinterval &b) throw() 00634 { return a = a*b; } 00635 00636 inline lx_cinterval & operator *=(lx_cinterval &a, const complex &b) throw() 00637 { return a = a*b; } 00638 00639 inline lx_cinterval & operator *=(lx_cinterval &a, const l_complex &b) throw() 00640 { return a = a*b; } 00641 00642 inline lx_cinterval & operator *=(lx_cinterval &a, const lx_complex &b) throw() 00643 { return a = a*b; } 00644 00645 00646 inline lx_cinterval operator / (const lx_cinterval &a, const lx_cinterval &b) 00647 throw() 00648 { 00649 lx_interval Ne(sqr(b.re) + sqr(b.im)); 00650 00651 return lx_cinterval( (a.re*b.re + a.im*b.im)/Ne, 00652 (a.im*b.re - a.re*b.im)/Ne ); 00653 } 00654 00655 inline lx_cinterval operator / (const lx_cinterval &a, const l_cinterval &b) 00656 throw() 00657 { return a / lx_cinterval(b); } 00658 00659 inline lx_cinterval operator / (const l_cinterval &a, const lx_cinterval &b) 00660 throw() 00661 { return lx_cinterval(a) / b; } 00662 00663 inline lx_cinterval operator / (const lx_cinterval &a, const cinterval &b) 00664 throw() 00665 { return a / lx_cinterval(b); } 00666 00667 inline lx_cinterval operator / (const cinterval &a, const lx_cinterval &b) 00668 throw() 00669 { return lx_cinterval(a) / b; } 00670 00671 inline lx_cinterval operator / (const lx_cinterval &a, const lx_interval &b) 00672 throw() 00673 { return lx_cinterval(a.re/b, a.im/b); } 00674 00675 inline lx_cinterval operator / (const lx_interval &a, const lx_cinterval &b) 00676 throw() 00677 { return lx_cinterval(a) / b; } 00678 00679 inline lx_cinterval operator / (const lx_cinterval &a, const l_interval &b) 00680 throw() 00681 { return lx_cinterval(a.re/b, a.im/b); } 00682 00683 inline lx_cinterval operator / (const l_interval &a, const lx_cinterval &b) 00684 throw() 00685 { return lx_cinterval(a) / b; } 00686 00687 inline lx_cinterval operator / (const lx_cinterval &a, const l_real &b) throw() 00688 { return lx_cinterval(a.re/b, a.im/b); } 00689 00690 inline lx_cinterval operator / (const l_real &a, const lx_cinterval &b) throw() 00691 { return lx_cinterval(a) / b; } 00692 00693 inline lx_cinterval operator / (const lx_cinterval &a, const lx_real &b) throw() 00694 { return lx_cinterval(a.re/b, a.im/b); } 00695 00696 inline lx_cinterval operator / (const lx_real &a, const lx_cinterval &b) throw() 00697 { return lx_cinterval(a) / b; } 00698 00699 inline lx_cinterval operator / (const lx_cinterval &a, const real &b) throw() 00700 { return lx_cinterval(a.re/b, a.im/b); } 00701 00702 inline lx_cinterval operator / (const real &a, const lx_cinterval &b) throw() 00703 { return lx_cinterval(a) / b; } 00704 00705 inline lx_cinterval operator / (const lx_cinterval &a, const complex &b) throw() 00706 { return a / lx_cinterval(b); } 00707 inline lx_cinterval operator / (const complex &a, const lx_cinterval &b) throw() 00708 { return lx_cinterval(a) / b; } 00709 00710 inline lx_cinterval operator / (const lx_cinterval &a, const l_complex &b) 00711 throw() { return a / lx_cinterval(b); } 00712 inline lx_cinterval operator / (const l_complex &a, const lx_cinterval &b) 00713 throw() { return lx_cinterval(a) / b; } 00714 00715 inline lx_cinterval operator / (const lx_cinterval &a, const lx_complex &b) 00716 throw() { return a / lx_cinterval(b); } 00717 inline lx_cinterval operator / (const lx_complex &a, const lx_cinterval &b) 00718 throw() { return lx_cinterval(a) / b; } 00719 00720 00721 inline lx_cinterval & operator /=(lx_cinterval &a, const lx_cinterval &b) throw() 00722 { return a = a/b; } 00723 00724 inline lx_cinterval & operator /=(lx_cinterval &a, const lx_interval &b) throw() 00725 { return a = a/b; } 00726 00727 inline lx_cinterval & operator /=(lx_cinterval &a, const l_interval &b) throw() 00728 { return a = a/b; } 00729 00730 inline lx_cinterval & operator /=(lx_cinterval &a, const l_cinterval &b) throw() 00731 { return a = a/b; } 00732 00733 inline lx_cinterval & operator /=(lx_cinterval &a, const l_real &b) throw() 00734 { return a = a/b; } 00735 00736 inline lx_cinterval & operator /=(lx_cinterval &a, const lx_real &b) throw() 00737 { return a = a/b; } 00738 00739 inline lx_cinterval & operator /=(lx_cinterval &a, const real &b) throw() 00740 { return a = a/b; } 00741 00742 inline lx_cinterval & operator /=(lx_cinterval &a, const interval &b) throw() 00743 { return a = a/b; } 00744 00745 inline lx_cinterval & operator /=(lx_cinterval &a, const cinterval &b) throw() 00746 { return a = a/b; } 00747 00748 inline lx_cinterval & operator /=(lx_cinterval &a, const complex &b) throw() 00749 { return a = a/b; } 00750 00751 inline lx_cinterval & operator /=(lx_cinterval &a, const l_complex &b) throw() 00752 { return a = a/b; } 00753 00754 inline lx_cinterval & operator /=(lx_cinterval &a, const lx_complex &b) throw() 00755 { return a = a/b; } 00756 00757 00758 00759 inline bool operator ! (const lx_cinterval & a) throw() 00760 { return !a.re && !a.im; } 00761 00762 00763 inline bool operator == (const lx_cinterval &a, const lx_cinterval &b) throw() 00764 { return a.re == b.re && a.im == b.im; } 00765 00766 inline bool operator == (const lx_cinterval &a, const l_cinterval &b) throw() 00767 { return a == lx_cinterval(b); } 00768 inline bool operator == (const l_cinterval &a, const lx_cinterval &b) throw() 00769 { return lx_cinterval(a) == b; } 00770 00771 inline bool operator == (const lx_cinterval &a, const lx_interval &b) throw() 00772 { return a == lx_cinterval(b); } 00773 inline bool operator == (const lx_interval &a, const lx_cinterval &b) throw() 00774 { return lx_cinterval(a) == b; } 00775 00776 inline bool operator == (const lx_cinterval &a, const l_interval &b) throw() 00777 { return a == lx_cinterval(b); } 00778 inline bool operator == (const l_interval &a, const lx_cinterval &b) throw() 00779 { return lx_cinterval(a) == b; } 00780 00781 inline bool operator == (const lx_cinterval &a, const l_real &b) throw() 00782 { return a == lx_cinterval(b); } 00783 inline bool operator == (const l_real &a, const lx_cinterval &b) throw() 00784 { return lx_cinterval(a) == b; } 00785 00786 inline bool operator == (const lx_cinterval &a, const lx_real &b) throw() 00787 { return a == lx_cinterval(b); } 00788 inline bool operator == (const lx_real &a, const lx_cinterval &b) throw() 00789 { return lx_cinterval(a) == b; } 00790 00791 inline bool operator == (const lx_cinterval &a, const real &b) throw() 00792 { return a == lx_cinterval(b); } 00793 inline bool operator == (const real &a, const lx_cinterval &b) throw() 00794 { return lx_cinterval(a) == b; } 00795 00796 inline bool operator == (const lx_cinterval &a, const interval &b) throw() 00797 { return a == lx_cinterval(b); } 00798 inline bool operator == (const interval &a, const lx_cinterval &b) throw() 00799 { return lx_cinterval(a) == b; } 00800 00801 inline bool operator == (const lx_cinterval &a, const cinterval &b) throw() 00802 { return a == lx_cinterval(b); } 00803 inline bool operator == (const cinterval &a, const lx_cinterval &b) throw() 00804 { return lx_cinterval(a) == b; } 00805 00806 inline bool operator == (const lx_cinterval &a, const complex &b) throw() 00807 { return a == lx_cinterval(b); } 00808 inline bool operator == (const complex &a, const lx_cinterval &b) throw() 00809 { return lx_cinterval(a) == b; } 00810 00811 inline bool operator == (const lx_cinterval &a, const l_complex &b) throw() 00812 { return a == lx_cinterval(b); } 00813 inline bool operator == (const l_complex &a, const lx_cinterval &b) throw() 00814 { return lx_cinterval(a) == b; } 00815 00816 inline bool operator == (const lx_cinterval &a, const lx_complex &b) throw() 00817 { return a == lx_cinterval(b); } 00818 inline bool operator == (const lx_complex &a, const lx_cinterval &b) throw() 00819 { return lx_cinterval(a) == b; } 00820 00821 00822 inline bool operator != (const lx_cinterval &a, const lx_cinterval &b) throw() 00823 { return a.re != b.re || a.im != b.im; } 00824 00825 inline bool operator != (const lx_cinterval &a, const l_cinterval &b) throw() 00826 { return !(a == b); } 00827 inline bool operator != (const l_cinterval &a, const lx_cinterval &b) throw() 00828 { return !(a == b); } 00829 00830 inline bool operator != (const lx_cinterval &a, const lx_interval &b) throw() 00831 { return !(a == b); } 00832 inline bool operator != (const lx_interval &a, const lx_cinterval &b) throw() 00833 { return !(a == b); } 00834 00835 inline bool operator != (const lx_cinterval &a, const l_interval &b) throw() 00836 { return !(a == b); } 00837 inline bool operator != (const l_interval &a, const lx_cinterval &b) throw() 00838 { return !(a == b); } 00839 00840 inline bool operator != (const lx_cinterval &a, const l_real &b) throw() 00841 { return !(a == b); } 00842 inline bool operator != (const l_real &a, const lx_cinterval &b) throw() 00843 { return !(a == b); } 00844 00845 inline bool operator != (const lx_cinterval &a, const lx_real &b) throw() 00846 { return !(a == b); } 00847 inline bool operator != (const lx_real &a, const lx_cinterval &b) throw() 00848 { return !(a == b); } 00849 00850 inline bool operator != (const lx_cinterval &a, const real &b) throw() 00851 { return !(a == b); } 00852 inline bool operator != (const real &a, const lx_cinterval &b) throw() 00853 { return !(a == b); } 00854 00855 inline bool operator != (const lx_cinterval &a, const interval &b) throw() 00856 { return !(a == b); } 00857 inline bool operator != (const interval &a, const lx_cinterval &b) throw() 00858 { return !(a == b); } 00859 00860 inline bool operator != (const lx_cinterval &a, const cinterval &b) throw() 00861 { return !(a == b); } 00862 inline bool operator != (const cinterval &a, const lx_cinterval &b) throw() 00863 { return !(a == b); } 00864 00865 inline bool operator != (const lx_cinterval &a, const complex &b) throw() 00866 { return !(a == b); } 00867 inline bool operator != (const complex &a, const lx_cinterval &b) throw() 00868 { return !(a == b); } 00869 00870 inline bool operator != (const lx_cinterval &a, const l_complex &b) throw() 00871 { return !(a == b); } 00872 inline bool operator != (const l_complex &a, const lx_cinterval &b) throw() 00873 { return !(a == b); } 00874 00875 inline bool operator != (const lx_cinterval &a, const lx_complex &b) throw() 00876 { return !(a == b); } 00877 inline bool operator != (const lx_complex &a, const lx_cinterval &b) throw() 00878 { return !(a == b); } 00879 00880 00881 00882 // ------------------------- Set Operators ----------------------------------- 00883 00884 inline bool operator < (const lx_cinterval & a, const lx_cinterval & b) throw() 00885 { 00886 if (Inf(a.re) <= Inf(b.re) || Sup(a.re) >= Sup(b.re)) 00887 return false; 00888 if (Inf(a.im) <= Inf(b.im) || Sup(a.im) >= Sup(b.im)) 00889 return false; 00890 00891 return true; 00892 } 00893 00894 inline bool operator > (const lx_cinterval & a, const lx_cinterval & b) throw() 00895 { return b < a; } 00896 00897 inline bool operator <= (const lx_cinterval & a, const lx_cinterval & b) throw() 00898 { 00899 if (Inf(a.re) < Inf(b.re) || Sup(a.re) > Sup(b.re)) 00900 return false; 00901 if (Inf(a.im) < Inf(b.im) || Sup(a.im) > Sup(b.im)) 00902 return false; 00903 00904 return true; 00905 } 00906 00907 inline bool operator >= (const lx_cinterval & a, const lx_cinterval & b) throw() 00908 { return b <= a; } 00909 00910 00911 inline bool operator <(const l_cinterval & a, const lx_cinterval & b) throw() 00912 { return lx_cinterval(a) < b; } 00913 inline bool operator >(const l_cinterval & a, const lx_cinterval & b) throw() 00914 { return lx_cinterval(a) > b; } 00915 inline bool operator <=(const l_cinterval & a, const lx_cinterval & b) throw() 00916 { return lx_cinterval(a) <= b; } 00917 inline bool operator >=(const l_cinterval & a, const lx_cinterval & b) throw() 00918 { return lx_cinterval(a) >= b; } 00919 00920 inline bool operator <(const lx_cinterval & a, const l_cinterval & b) throw() 00921 { return a < lx_cinterval(b); } 00922 inline bool operator >(const lx_cinterval & a, const l_cinterval & b) throw() 00923 { return a > lx_cinterval(b); } 00924 inline bool operator <=(const lx_cinterval & a, const l_cinterval & b) throw() 00925 { return a <= lx_cinterval(b); } 00926 inline bool operator >=(const lx_cinterval & a, const l_cinterval & b) throw() 00927 { return a >= lx_cinterval(b); } 00928 00929 inline bool operator <(const cinterval & a, const lx_cinterval & b) throw() 00930 { return lx_cinterval(a) < b; } 00931 inline bool operator >(const cinterval & a, const lx_cinterval & b) throw() 00932 { return lx_cinterval(a) > b; } 00933 inline bool operator <=(const cinterval & a, const lx_cinterval & b) throw() 00934 { return lx_cinterval(a) <= b; } 00935 inline bool operator >=(const cinterval & a, const lx_cinterval & b) throw() 00936 { return lx_cinterval(a) >= b; } 00937 00938 inline bool operator <(const lx_cinterval & a, const cinterval & b) throw() 00939 { return a < lx_cinterval(b); } 00940 inline bool operator >(const lx_cinterval & a, const cinterval & b) throw() 00941 { return a > lx_cinterval(b); } 00942 inline bool operator <=(const lx_cinterval & a, const cinterval & b) throw() 00943 { return a <= lx_cinterval(b); } 00944 inline bool operator >=(const lx_cinterval & a, const cinterval & b) throw() 00945 { return a >= lx_cinterval(b); } 00946 00947 inline bool operator <(const lx_interval & a, const lx_cinterval & b) throw() 00948 { return lx_cinterval(a) < b; } 00949 inline bool operator >(const lx_interval & a, const lx_cinterval & b) throw() 00950 { return lx_cinterval(a) > b; } 00951 inline bool operator <=(const lx_interval & a, const lx_cinterval & b) throw() 00952 { return lx_cinterval(a) <= b; } 00953 inline bool operator >=(const lx_interval & a, const lx_cinterval & b) throw() 00954 { return lx_cinterval(a) >= b; } 00955 00956 inline bool operator <(const lx_cinterval & a, const lx_interval & b) throw() 00957 { return a < lx_cinterval(b); } 00958 inline bool operator >(const lx_cinterval & a, const lx_interval & b) throw() 00959 { return a > lx_cinterval(b); } 00960 inline bool operator <=(const lx_cinterval & a, const lx_interval & b) throw() 00961 { return a <= lx_cinterval(b); } 00962 inline bool operator >=(const lx_cinterval & a, const lx_interval & b) throw() 00963 { return a >= lx_cinterval(b); } 00964 00965 inline bool operator <(const l_interval & a, const lx_cinterval & b) throw() 00966 { return lx_cinterval(a) < b; } 00967 inline bool operator >(const l_interval & a, const lx_cinterval & b) throw() 00968 { return lx_cinterval(a) > b; } 00969 inline bool operator <=(const l_interval & a, const lx_cinterval & b) throw() 00970 { return lx_cinterval(a) <= b; } 00971 inline bool operator >=(const l_interval & a, const lx_cinterval & b) throw() 00972 { return lx_cinterval(a) >= b; } 00973 00974 inline bool operator <(const lx_cinterval & a, const l_interval & b) throw() 00975 { return a < lx_cinterval(b); } 00976 inline bool operator >(const lx_cinterval & a, const l_interval & b) throw() 00977 { return a > lx_cinterval(b); } 00978 inline bool operator <=(const lx_cinterval & a, const l_interval & b) throw() 00979 { return a <= lx_cinterval(b); } 00980 inline bool operator >=(const lx_cinterval & a, const l_interval & b) throw() 00981 { return a >= lx_cinterval(b); } 00982 00983 inline bool operator <(const interval & a, const lx_cinterval & b) throw() 00984 { return lx_cinterval(a) < b; } 00985 inline bool operator >(const interval & a, const lx_cinterval & b) throw() 00986 { return lx_cinterval(a) > b; } 00987 inline bool operator <=(const interval & a, const lx_cinterval & b) throw() 00988 { return lx_cinterval(a) <= b; } 00989 inline bool operator >=(const interval & a, const lx_cinterval & b) throw() 00990 { return lx_cinterval(a) >= b; } 00991 00992 inline bool operator <(const lx_cinterval & a, const interval & b) throw() 00993 { return a < lx_cinterval(b); } 00994 inline bool operator >(const lx_cinterval & a, const interval & b) throw() 00995 { return a > lx_cinterval(b); } 00996 inline bool operator <=(const lx_cinterval & a, const interval & b) throw() 00997 { return a <= lx_cinterval(b); } 00998 inline bool operator >=(const lx_cinterval & a, const interval & b) throw() 00999 { return a >= lx_cinterval(b); } 01000 01001 inline bool operator <(const lx_real & a, const lx_cinterval & b) throw() 01002 { return lx_cinterval(a) < b; } 01003 inline bool operator <=(const lx_real & a, const lx_cinterval & b) throw() 01004 { return lx_cinterval(a) <= b; } 01005 inline bool operator >(const lx_cinterval & a, const lx_real & b) throw() 01006 { return a > lx_cinterval(b); } 01007 inline bool operator >=(const lx_cinterval & a, const lx_real & b) throw() 01008 { return a >= lx_cinterval(b); } 01009 01010 inline bool operator <(const l_real & a, const lx_cinterval & b) throw() 01011 { return lx_cinterval(a) < b; } 01012 inline bool operator <=(const l_real & a, const lx_cinterval & b) throw() 01013 { return lx_cinterval(a) <= b; } 01014 inline bool operator >(const lx_cinterval & a, const l_real & b) throw() 01015 { return a > lx_cinterval(b); } 01016 inline bool operator >=(const lx_cinterval & a, const l_real & b) throw() 01017 { return a >= lx_cinterval(b); } 01018 01019 inline bool operator <(const real & a, const lx_cinterval & b) throw() 01020 { return lx_cinterval(a) < b; } 01021 inline bool operator <=(const real & a, const lx_cinterval & b) throw() 01022 { return lx_cinterval(a) <= b; } 01023 inline bool operator >(const lx_cinterval & a, const real & b) throw() 01024 { return a > lx_cinterval(b); } 01025 inline bool operator >=(const lx_cinterval & a, const real & b) throw() 01026 { return a >= lx_cinterval(b); } 01027 01028 inline bool operator <(const complex & a, const lx_cinterval & b) throw() 01029 { return lx_cinterval(a) < b; } 01030 inline bool operator <=(const complex & a, const lx_cinterval & b) throw() 01031 { return lx_cinterval(a) <= b; } 01032 inline bool operator >(const lx_cinterval & a, const complex & b) throw() 01033 { return a > lx_cinterval(b); } 01034 inline bool operator >=(const lx_cinterval & a, const complex & b) throw() 01035 { return a >= lx_cinterval(b); } 01036 01037 inline bool operator <(const l_complex & a, const lx_cinterval & b) throw() 01038 { return lx_cinterval(a) < b; } 01039 inline bool operator <=(const l_complex & a, const lx_cinterval & b) throw() 01040 { return lx_cinterval(a) <= b; } 01041 inline bool operator >(const lx_cinterval & a, const l_complex & b) throw() 01042 { return a > lx_cinterval(b); } 01043 inline bool operator >=(const lx_cinterval & a, const l_complex & b) throw() 01044 { return a >= lx_cinterval(b); } 01045 01046 inline bool operator <(const lx_complex & a, const lx_cinterval & b) throw() 01047 { return lx_cinterval(a) < b; } 01048 inline bool operator <=(const lx_complex & a, const lx_cinterval & b) throw() 01049 { return lx_cinterval(a) <= b; } 01050 inline bool operator >(const lx_cinterval & a, const lx_complex & b) throw() 01051 { return a > lx_cinterval(b); } 01052 inline bool operator >=(const lx_cinterval & a, const lx_complex & b) throw() 01053 { return a >= lx_cinterval(b); } 01054 01055 // ------------------------- Intersection ------------------------------------ 01056 01057 inline lx_cinterval operator & (const lx_cinterval& a, 01058 const lx_cinterval& b) throw() 01059 { 01060 lx_cinterval tmp = a; 01061 SetInf(tmp.re, max(Inf(a.re),Inf(b.re))); 01062 SetInf(tmp.im, max(Inf(a.im),Inf(b.im))); 01063 SetSup(tmp.re, min(Sup(a.re),Sup(b.re))); 01064 SetSup(tmp.im, min(Sup(a.im),Sup(b.im))); 01065 if (Inf(tmp.re) > Sup(tmp.re) || Inf(tmp.im) > Sup(tmp.im)) 01066 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01067 "lx_cinterval operator &(const lx_cinterval& a,const lx_cinterval& b)")); 01068 return tmp; 01069 } 01070 01071 inline lx_cinterval & operator &= (lx_cinterval& a, const lx_cinterval& b) 01072 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) { return a = a&b; } 01073 01074 inline lx_cinterval operator & (const lx_cinterval& a, const lx_real& b) 01075 throw() { return a & lx_cinterval(b,lx_real(0.0)); } 01076 inline lx_cinterval operator & (const lx_real& a, const lx_cinterval& b ) 01077 throw() { return lx_cinterval(a,lx_real(0.0)) & b; } 01078 inline lx_cinterval & operator &= (lx_cinterval& a, const lx_real& b) 01079 throw() { return a = a & lx_cinterval(b); } 01080 inline lx_cinterval operator & (const lx_cinterval& a, const l_real& b) 01081 throw() { return a & lx_cinterval(b); } 01082 inline lx_cinterval operator & (const l_real& a, const lx_cinterval& b ) 01083 throw() { return lx_cinterval(a) & b; } 01084 inline lx_cinterval & operator &= (lx_cinterval& a, const l_real& b) 01085 throw() { return a = a & lx_cinterval(b); } 01086 inline lx_cinterval operator & (const lx_cinterval& a, const real& b) 01087 throw() { return a & lx_cinterval(b); } 01088 inline lx_cinterval operator & (const real& a, const lx_cinterval& b ) 01089 throw() { return lx_cinterval(a) & b; } 01090 inline lx_cinterval & operator &= (lx_cinterval& a, const real& b) 01091 throw() { return a = a & lx_cinterval(b); } 01092 inline lx_cinterval operator & (const lx_cinterval& a, const l_cinterval& b) 01093 throw() { return a & lx_cinterval(b); } 01094 inline lx_cinterval operator & (const l_cinterval& a, const lx_cinterval& b) 01095 throw() { return lx_cinterval(a) & b; } 01096 inline lx_cinterval & operator &= (lx_cinterval& a, const l_cinterval& b) 01097 throw() { return a = a & lx_cinterval(b); } 01098 inline lx_cinterval operator & (const lx_cinterval& a, const cinterval& b) 01099 throw() { return a & lx_cinterval(b); } 01100 inline lx_cinterval operator & (const cinterval& a, const lx_cinterval& b) 01101 throw() { return lx_cinterval(a) & b; } 01102 inline lx_cinterval & operator &= (lx_cinterval& a, const cinterval& b) 01103 throw() { return a = a & lx_cinterval(b); } 01104 inline lx_cinterval operator & (const lx_cinterval& a, const lx_interval& b) 01105 throw() { return a & lx_cinterval(b); } 01106 inline lx_cinterval operator & (const lx_interval& a, const lx_cinterval& b) 01107 throw() { return lx_cinterval(a) & b; } 01108 inline lx_cinterval & operator &= (lx_cinterval& a, const lx_interval& b) 01109 throw() { return a = a & lx_cinterval(b); } 01110 inline lx_cinterval operator & (const lx_cinterval& a, const l_interval& b) 01111 throw() { return a & lx_cinterval(b); } 01112 inline lx_cinterval operator & (const l_interval& a, const lx_cinterval& b) 01113 throw() { return lx_cinterval(a) & b; } 01114 inline lx_cinterval & operator &= (lx_cinterval& a, const l_interval& b) 01115 throw() { return a = a & lx_cinterval(b); } 01116 inline lx_cinterval operator & (const lx_cinterval& a, const interval& b) 01117 throw() { return a & lx_cinterval(b); } 01118 inline lx_cinterval operator & (const interval& a, const lx_cinterval& b) 01119 throw() { return lx_cinterval(a) & b; } 01120 inline lx_cinterval & operator &= (lx_cinterval& a, const interval& b) 01121 throw() { return a = a & lx_cinterval(b); } 01122 inline lx_cinterval operator & (const lx_cinterval& a, const lx_complex& b) 01123 throw() { return a & lx_cinterval(b); } 01124 inline lx_cinterval operator & (const lx_complex& a, const lx_cinterval& b) 01125 throw() { return lx_cinterval(a) & b; } 01126 inline lx_cinterval & operator &= (lx_cinterval& a, const lx_complex& b) 01127 throw() { return a = a & lx_cinterval(b); } 01128 inline lx_cinterval operator & (const lx_cinterval& a, const l_complex& b) 01129 throw() { return a & lx_cinterval(b); } 01130 inline lx_cinterval operator & (const l_complex& a, const lx_cinterval& b) 01131 throw() { return lx_cinterval(a) & b; } 01132 inline lx_cinterval & operator &= (lx_cinterval& a, const l_complex& b) 01133 throw() { return a = a & lx_cinterval(b); } 01134 inline lx_cinterval operator & (const lx_cinterval& a, const complex& b) 01135 throw() { return a & lx_cinterval(b); } 01136 inline lx_cinterval operator & (const complex& a, const lx_cinterval& b) 01137 throw() { return lx_cinterval(a) & b; } 01138 inline lx_cinterval & operator &= (lx_cinterval& a, const complex& b) 01139 throw() { return a = a & lx_cinterval(b); } 01140 01141 inline lx_cinterval operator & (const lx_interval& a, const complex& b) 01142 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01143 inline lx_cinterval operator & ( const complex& a, const lx_interval& b) 01144 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01145 inline lx_cinterval operator & (const lx_interval& a, const l_complex& b) 01146 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01147 inline lx_cinterval operator & ( const l_complex& a, const lx_interval& b) 01148 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01149 inline lx_cinterval operator & (const lx_interval& a, const lx_complex& b) 01150 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01151 inline lx_cinterval operator & ( const lx_complex& a, const lx_interval& b) 01152 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01153 inline lx_cinterval operator & (const lx_real& a, const cinterval& b) 01154 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01155 inline lx_cinterval operator & (const cinterval& a, const lx_real& b) 01156 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01157 inline lx_cinterval operator & (const lx_real& a, const l_cinterval& b) 01158 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01159 inline lx_cinterval operator & (const l_cinterval& a, const lx_real& b) 01160 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01161 inline lx_cinterval operator & (const lx_interval& a, const cinterval& b) 01162 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01163 inline lx_cinterval operator & (const cinterval& a, const lx_interval& b) 01164 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01165 inline lx_cinterval operator & (const lx_interval& a, const l_cinterval& b) 01166 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01167 inline lx_cinterval operator & (const l_cinterval& a, const lx_interval& b) 01168 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01169 01170 inline lx_cinterval operator & (const l_interval& a, const lx_complex& b) 01171 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01172 inline lx_cinterval operator & ( const lx_complex& a, const l_interval& b) 01173 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01174 inline lx_cinterval operator & (const l_cinterval& a, const lx_complex& b) 01175 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01176 inline lx_cinterval operator & ( const lx_complex& a, const l_cinterval& b) 01177 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01178 01179 inline lx_cinterval operator & (const interval& a, const lx_complex& b) 01180 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01181 inline lx_cinterval operator & ( const lx_complex& a, const interval& b) 01182 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01183 inline lx_cinterval operator & (const cinterval& a, const lx_complex& b) 01184 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01185 inline lx_cinterval operator & ( const lx_complex& a, const cinterval& b) 01186 throw() { return lx_cinterval(a) & lx_cinterval(b); } 01187 01188 01189 // -------------------------- Convex Hull ------------------------------------ 01190 01191 inline lx_cinterval operator | (const lx_cinterval& a, 01192 const lx_cinterval& b) throw() 01193 { 01194 lx_cinterval tmp = a; 01195 SetInf(tmp.re, min(Inf(a.re), Inf(b.re))); 01196 SetInf(tmp.im, min(Inf(a.im), Inf(b.im))); 01197 SetSup(tmp.re, max(Sup(a.re), Sup(b.re))); 01198 SetSup(tmp.im, max(Sup(a.im), Sup(b.im))); 01199 return tmp; 01200 } 01201 01202 inline lx_cinterval & operator |= (lx_cinterval& a, const lx_cinterval& b) 01203 throw() { return a = a|b; } 01204 inline lx_cinterval operator | (const lx_cinterval& a, const lx_real& b) 01205 throw() { return a | lx_cinterval(b); } 01206 inline lx_cinterval operator | (const lx_real& a, const lx_cinterval& b) 01207 throw() { return lx_cinterval(a) | b; } 01208 inline lx_cinterval & operator |= (lx_cinterval& a, const lx_real& b) 01209 throw() { return a = a|lx_cinterval(b); } 01210 inline lx_cinterval operator | (const lx_cinterval& a, const l_real& b) 01211 throw() { return a | lx_cinterval(b); } 01212 inline lx_cinterval operator | (const l_real& a, const lx_cinterval& b) 01213 throw() { return lx_cinterval(a) | b; } 01214 inline lx_cinterval & operator |= (lx_cinterval& a, const l_real& b) 01215 throw() { return a = a|lx_cinterval(b); } 01216 inline lx_cinterval operator | (const lx_cinterval& a, const real& b) 01217 throw() { return a | lx_cinterval(b); } 01218 inline lx_cinterval operator | (const real& a, const lx_cinterval& b) 01219 throw() { return lx_cinterval(a) | b; } 01220 inline lx_cinterval & operator |= (lx_cinterval& a, const real& b) 01221 throw() { return a = a|lx_cinterval(b); } 01222 inline lx_cinterval operator | (const lx_cinterval& a, const l_cinterval& b) 01223 throw() { return a | lx_cinterval(b); } 01224 inline lx_cinterval operator | (const l_cinterval& a, const lx_cinterval& b) 01225 throw() { return lx_cinterval(a) | b; } 01226 inline lx_cinterval & operator |= (lx_cinterval& a, const l_cinterval& b) 01227 throw() { return a = a|lx_cinterval(b); } 01228 inline lx_cinterval operator | (const lx_cinterval& a, const cinterval& b) 01229 throw() { return a | lx_cinterval(b); } 01230 inline lx_cinterval operator | (const cinterval& a, const lx_cinterval& b) 01231 throw() { return lx_cinterval(a) | b; } 01232 inline lx_cinterval & operator |= (lx_cinterval& a, const cinterval& b) 01233 throw() { return a = a | lx_cinterval(b); } 01234 inline lx_cinterval operator | (const lx_cinterval& a, const lx_interval& b) 01235 throw() { return a | lx_cinterval(b); } 01236 inline lx_cinterval operator | (const lx_interval& a, const lx_cinterval& b) 01237 throw() { return lx_cinterval(a) | b; } 01238 inline lx_cinterval & operator |= (lx_cinterval& a, const lx_interval& b) 01239 throw() { return a = a | lx_cinterval(b); } 01240 inline lx_cinterval operator | (const lx_cinterval& a, const l_interval& b) 01241 throw() { return a | lx_cinterval(b); } 01242 inline lx_cinterval operator | (const l_interval& a, const lx_cinterval& b) 01243 throw() { return lx_cinterval(a) | b; } 01244 inline lx_cinterval & operator |= (lx_cinterval& a, const l_interval& b) 01245 throw() { return a = a | lx_cinterval(b); } 01246 inline lx_cinterval operator | (const lx_cinterval& a, const interval& b) 01247 throw() { return a | lx_cinterval(b); } 01248 inline lx_cinterval operator | (const interval& a, const lx_cinterval& b) 01249 throw() { return lx_cinterval(a) | b; } 01250 inline lx_cinterval & operator |= (lx_cinterval& a, const interval& b) 01251 throw() { return a = a | lx_cinterval(b); } 01252 inline lx_cinterval operator | (const lx_cinterval& a, const lx_complex& b) 01253 throw() { return a | lx_cinterval(b); } 01254 inline lx_cinterval operator | (const lx_complex& a, const lx_cinterval& b) 01255 throw() { return lx_cinterval(a) | b; } 01256 inline lx_cinterval & operator |= (lx_cinterval& a, const lx_complex& b) 01257 throw() { return a = a | lx_cinterval(b); } 01258 inline lx_cinterval operator | (const lx_cinterval& a, const l_complex& b) 01259 throw() { return a | lx_cinterval(b); } 01260 inline lx_cinterval operator | (const l_complex& a, const lx_cinterval& b) 01261 throw() { return lx_cinterval(a) | b; } 01262 inline lx_cinterval & operator |= (lx_cinterval& a, const l_complex& b) 01263 throw() { return a = a | lx_cinterval(b); } 01264 inline lx_cinterval operator | (const lx_cinterval& a, const complex& b) 01265 throw() { return a | lx_cinterval(b); } 01266 inline lx_cinterval operator | (const complex& a, const lx_cinterval& b) 01267 throw() { return lx_cinterval(a) | b; } 01268 inline lx_cinterval & operator |= (lx_cinterval& a, const complex& b) 01269 throw() { return a = a | lx_cinterval(b); } 01270 01271 inline lx_cinterval operator | (const lx_interval& a, const complex& b) 01272 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01273 inline lx_cinterval operator | ( const complex& a, const lx_interval& b) 01274 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01275 inline lx_cinterval operator | (const lx_interval& a, const l_complex& b) 01276 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01277 inline lx_cinterval operator | ( const l_complex& a, const lx_interval& b) 01278 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01279 inline lx_cinterval operator | (const lx_interval& a, const lx_complex& b) 01280 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01281 inline lx_cinterval operator | ( const lx_complex& a, const lx_interval& b) 01282 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01283 inline lx_cinterval operator | (const lx_real& a, const cinterval& b) 01284 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01285 inline lx_cinterval operator | (const cinterval& a, const lx_real& b) 01286 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01287 inline lx_cinterval operator | (const lx_real& a, const l_cinterval& b) 01288 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01289 inline lx_cinterval operator | (const l_cinterval& a, const lx_real& b) 01290 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01291 inline lx_cinterval operator | (const lx_interval& a, const cinterval& b) 01292 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01293 inline lx_cinterval operator | (const cinterval& a, const lx_interval& b) 01294 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01295 inline lx_cinterval operator | (const lx_interval& a, const l_cinterval& b) 01296 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01297 inline lx_cinterval operator | (const l_cinterval& a, const lx_interval& b) 01298 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01299 01300 01301 inline lx_cinterval operator | (const lx_real& a, const complex& b) 01302 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01303 inline lx_cinterval operator | (const complex& a, const lx_real& b) 01304 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01305 inline lx_cinterval operator | (const lx_real& a, const l_complex& b) 01306 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01307 inline lx_cinterval operator | (const l_complex& a, const lx_real& b) 01308 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01309 inline lx_cinterval operator | (const lx_real& a, const lx_complex& b) 01310 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01311 inline lx_cinterval operator | (const lx_complex& a, const lx_real& b) 01312 throw() { return lx_cinterval(a) | lx_cinterval(b); } 01313 01314 01315 // ------------------------- Others -------------------------------------- 01316 01317 inline lx_cinterval & SetInf(lx_cinterval& a, const lx_complex& b) 01318 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01319 { 01320 Inf(a.re) = Re(b); 01321 Inf(a.im) = Im(b); 01322 01323 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01324 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval & SetInf(lx_cinterval& a, const lx_complex& b)")); 01325 01326 return a; 01327 } 01328 01329 inline lx_cinterval & SetInf(lx_cinterval& a, const l_complex& b) 01330 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01331 { 01332 Inf(a.re) = Re(b); 01333 Inf(a.im) = Im(b); 01334 01335 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01336 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval & SetInf(lx_cinterval& a, const l_complex& b)")); 01337 01338 return a; 01339 } 01340 01341 inline lx_cinterval & SetInf(lx_cinterval& a, const complex& b) 01342 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01343 { 01344 Inf(a.re) = Re(b); 01345 Inf(a.im) = Im(b); 01346 01347 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01348 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("lx_cinterval & SetInf(lx_cinterval& a, const complex& b)")); 01349 01350 return a; 01351 } 01352 01353 inline lx_cinterval & SetInf(lx_cinterval& a, const lx_real & b) 01354 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01355 { 01356 Inf(a.re)=b; 01357 Inf(a.im)=0.0; 01358 01359 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01360 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL("inline lx_cinterval & SetInf(lx_cinterval& a,const lx_real & b)")); 01361 01362 return a; 01363 } 01364 01365 inline lx_cinterval & SetInf(lx_cinterval& a, const l_real & b) 01366 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01367 { 01368 Inf(a.re)=b; 01369 Inf(a.im)=0.0; 01370 01371 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01372 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01373 "inline lx_cinterval & SetInf(lx_cinterval& a,const l_real & b)")); 01374 01375 return a; 01376 } 01377 01378 inline lx_cinterval & SetInf(lx_cinterval& a, const real & b) 01379 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01380 { 01381 Inf(a.re)=b; 01382 Inf(a.im)=0.0; 01383 01384 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01385 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01386 "inline lx_cinterval & SetInf(lx_cinterval& a,const real & b)")); 01387 01388 return a; 01389 } 01390 01391 inline lx_cinterval & SetSup(lx_cinterval& a, const lx_complex& b) 01392 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01393 { 01394 Sup(a.re) = Re(b); 01395 Sup(a.im) = Im(b); 01396 01397 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01398 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01399 "inline lx_cinterval & SetSup(lx_cinterval& a, const lx_complex& b)")); 01400 01401 return a; 01402 } 01403 01404 01405 inline lx_cinterval & SetSup(lx_cinterval& a, const l_complex& b) 01406 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01407 { 01408 Sup(a.re) = Re(b); 01409 Sup(a.im) = Im(b); 01410 01411 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01412 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01413 "inline lx_cinterval & SetSup(lx_cinterval& a, const l_complex& b)")); 01414 01415 return a; 01416 } 01417 01418 inline lx_cinterval & SetSup(lx_cinterval& a, const complex& b) 01419 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01420 { 01421 Sup(a.re) = Re(b); 01422 Sup(a.im) = Im(b); 01423 01424 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01425 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01426 "inline lx_cinterval & SetSup(lx_cinterval& a, const complex& b)")); 01427 01428 return a; 01429 } 01430 01431 inline lx_cinterval & SetSup(lx_cinterval& a, const lx_real & b) 01432 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01433 { 01434 Sup(a.re) = b; 01435 Sup(a.im) = 0.0; 01436 01437 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01438 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01439 "inline lx_cinterval & SetSup(lx_cinterval& a, const lx_real& b)")); 01440 01441 return a; 01442 } 01443 01444 inline lx_cinterval & SetSup(lx_cinterval& a, const l_real & b) 01445 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01446 { 01447 Sup(a.re) = b; 01448 Sup(a.im) = 0.0; 01449 01450 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01451 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01452 "inline lx_cinterval & SetSup(lx_cinterval& a, const l_real& b)")); 01453 01454 return a; 01455 } 01456 01457 inline lx_cinterval & SetSup(lx_cinterval& a, const real & b) 01458 throw(ERROR_CINTERVAL_EMPTY_INTERVAL) 01459 { 01460 Sup(a.re) = b; 01461 Sup(a.im) = 0.0; 01462 01463 if (Inf(a.re) > Sup(a.re) || Inf(a.im) > Sup(a.im)) 01464 cxscthrow(ERROR_CINTERVAL_EMPTY_INTERVAL( 01465 "inline lx_cinterval & SetSup(lx_cinterval& a, const real& b)")); 01466 01467 return a; 01468 } 01469 01470 inline bool IsEmpty(const lx_cinterval& a) throw() 01471 { return (IsEmpty(a.re) || IsEmpty(a.im)); } 01472 01473 01474 // ----------------------------------------------------------------------- 01475 // ----------------------- Output ---------------------------------------- 01476 // ----------------------------------------------------------------------- 01477 01478 inline std::ostream& operator << (std::ostream& s,const lx_cinterval& a) 01479 throw() 01480 // A value a of type lx_cinterval is written to the output channel. 01481 { 01482 s << '(' 01483 << a.re << ", " 01484 << a.im 01485 << ')'; 01486 return s; 01487 } 01488 01489 inline std::string & operator << (std::string &s,const lx_cinterval& a) 01490 throw() 01491 // The value of a variable a of type lx_cinterval is copied to a string s. 01492 // s has the form: {ex,li} 01493 { 01494 string str; 01495 s+='('; 01496 s << a.re; 01497 s+=','; 01498 s << a.im; 01499 s+=')'; 01500 return s; 01501 } 01502 01503 } // end namespace cxsc
1.7.5.1