ginac/utils.cpp

   1 /** @file utils.cpp
   2  *
   3  *  Implementation of several small and furry utilities needed within GiNaC
   4  *  but not of any interest to the user of the library. */
   5
   6 /*
   7  *  GiNaC Copyright (C) 1999-2004 Johannes Gutenberg University Mainz, Germany
   8  *
   9  *  This program is free software; you can redistribute it and/or modify
  10  *  it under the terms of the GNU General Public License as published by
  11  *  the Free Software Foundation; either version 2 of the License, or
  12  *  (at your option) any later version.
  13  *
  14  *  This program is distributed in the hope that it will be useful,
  15  *  but WITHOUT ANY WARRANTY; without even the implied warranty of
  16  *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  17  *  GNU General Public License for more details.
  18  *
  19  *  You should have received a copy of the GNU General Public License
  20  *  along with this program; if not, write to the Free Software
  21  *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  22  */
  23
  24 #include "ex.h"
  25 #include "numeric.h"
  26 #include "utils.h"
  27 #include "version.h"
  28
  29 namespace GiNaC {
  30
  31 /* Version information buried into the library */
  32 const int version_major = GINACLIB_MAJOR_VERSION;
  33 const int version_minor = GINACLIB_MINOR_VERSION;
  34 const int version_micro = GINACLIB_MICRO_VERSION;
  35
  36
  37 /** ctor for pole_error exception class. */
  38 pole_error::pole_error(const std::string& what_arg, int degree)
  39         : domain_error(what_arg), deg(degree) { }
  40
  41 /** Return the degree of the pole_error exception class. */
  42 int pole_error::degree() const
  43 {
  44         return deg;
  45 }
  46
  47 /** Integer binary logarithm */
  48 unsigned log2(unsigned n)
  49 {
  50         unsigned k;
  51         for (k = 0; n > 1; n >>= 1)
  52                 ++k;
  53         return k;
  54 }
  55
  56
  57 //////////
  58 // flyweight chest of numbers is initialized here:
  59 //////////
  60
  61 /** How many static objects were created?  Only the first one must create
  62  *  the static flyweights on the heap. */
  63 int library_init::count = 0;
  64
  65 // static numeric -120
  66 const numeric *_num_120_p;
  67 const numeric &_num_120 = *_num_120_p;
  68 const ex _ex_120 = _num_120;
  69
  70 // static numeric -60
  71 const numeric *_num_60_p;
  72 const numeric &_num_60 = *_num_60_p;
  73 const ex _ex_60 = _num_60;
  74
  75 // static numeric -48
  76 const numeric *_num_48_p;
  77 const numeric &_num_48 = *_num_48_p;
  78 const ex _ex_48 = _num_48;
  79
  80 // static numeric -30
  81 const numeric *_num_30_p;
  82 const numeric &_num_30 = *_num_30_p;
  83 const ex _ex_30 = _num_30;
  84
  85 // static numeric -25
  86 const numeric *_num_25_p;
  87 const numeric &_num_25 = *_num_25_p;
  88 const ex _ex_25 = _num_25;
  89
  90 // static numeric -24
  91 const numeric *_num_24_p;
  92 const numeric &_num_24 = *_num_24_p;
  93 const ex _ex_24 = _num_24;
  94
  95 // static numeric -20
  96 const numeric *_num_20_p;
  97 const numeric &_num_20 = *_num_20_p;
  98 const ex _ex_20 = _num_20;
  99
 100 // static numeric -18
 101 const numeric *_num_18_p;
 102 const numeric &_num_18 = *_num_18_p;
 103 const ex _ex_18 = _num_18;
 104
 105 // static numeric -15
 106 const numeric *_num_15_p;
 107 const numeric &_num_15 = *_num_15_p;
 108 const ex _ex_15 = _num_15;
 109
 110 // static numeric -12
 111 const numeric *_num_12_p;
 112 const numeric &_num_12 = *_num_12_p;
 113 const ex _ex_12 = _num_12;
 114
 115 // static numeric -11
 116 const numeric *_num_11_p;
 117 const numeric &_num_11 = *_num_11_p;
 118 const ex _ex_11 = _num_11;
 119
 120 // static numeric -10
 121 const numeric *_num_10_p;
 122 const numeric &_num_10 = *_num_10_p;
 123 const ex _ex_10 = _num_10;
 124
 125 // static numeric -9
 126 const numeric *_num_9_p;
 127 const numeric &_num_9 = *_num_9_p;
 128 const ex _ex_9 = _num_9;
 129
 130 // static numeric -8
 131 const numeric *_num_8_p;
 132 const numeric &_num_8 = *_num_8_p;
 133 const ex _ex_8 = _num_8;
 134
 135 // static numeric -7
 136 const numeric *_num_7_p;
 137 const numeric &_num_7 = *_num_7_p;
 138 const ex _ex_7 = _num_7;
 139
 140 // static numeric -6
 141 const numeric *_num_6_p;
 142 const numeric &_num_6 = *_num_6_p;
 143 const ex _ex_6 = _num_6;
 144
 145 // static numeric -5
 146 const numeric *_num_5_p;
 147 const numeric &_num_5 = *_num_5_p;
 148 const ex _ex_5 = _num_5;
 149
 150 // static numeric -4
 151 const numeric *_num_4_p;
 152 const numeric &_num_4 = *_num_4_p;
 153 const ex _ex_4 = _num_4;
 154
 155 // static numeric -3
 156 const numeric *_num_3_p;
 157 const numeric &_num_3 = *_num_3_p;
 158 const ex _ex_3 = _num_3;
 159
 160 // static numeric -2
 161 const numeric *_num_2_p;
 162 const numeric &_num_2 = *_num_2_p;
 163 const ex _ex_2 = _num_2;
 164
 165 // static numeric -1
 166 const numeric *_num_1_p;
 167 const numeric &_num_1 = *_num_1_p;
 168 const ex _ex_1 = _num_1;
 169
 170 // static numeric -1/2
 171 const numeric *_num_1_2_p;
 172 const numeric &_num_1_2= *_num_1_2_p;
 173 const ex _ex_1_2= _num_1_2;
 174
 175 // static numeric -1/3
 176 const numeric *_num_1_3_p;
 177 const numeric &_num_1_3= *_num_1_3_p;
 178 const ex _ex_1_3= _num_1_3;
 179
 180 // static numeric -1/4
 181 const numeric *_num_1_4_p;
 182 const numeric &_num_1_4= *_num_1_4_p;
 183 const ex _ex_1_4= _num_1_4;
 184
 185 // static numeric 0
 186 const numeric *_num0_p;
 187 const basic *_num0_bp;
 188 const numeric &_num0 = *_num0_p;
 189 const ex _ex0 = _num0;
 190
 191 // static numeric 1/4
 192 const numeric *_num1_4_p;
 193 const numeric &_num1_4 = *_num1_4_p;
 194 const ex _ex1_4 = _num1_4;
 195
 196 // static numeric 1/3
 197 const numeric *_num1_3_p;
 198 const numeric &_num1_3 = *_num1_3_p;
 199 const ex _ex1_3 = _num1_3;
 200
 201 // static numeric 1/2
 202 const numeric *_num1_2_p;
 203 const numeric &_num1_2 = *_num1_2_p;
 204 const ex _ex1_2 = _num1_2;
 205
 206 // static numeric 1
 207 const numeric *_num1_p;
 208 const numeric &_num1 = *_num1_p;
 209 const ex _ex1 = _num1;
 210
 211 // static numeric 2
 212 const numeric *_num2_p;
 213 const numeric &_num2 = *_num2_p;
 214 const ex _ex2 = _num2;
 215
 216 // static numeric 3
 217 const numeric *_num3_p;
 218 const numeric &_num3 = *_num3_p;
 219 const ex _ex3 = _num3;
 220
 221 // static numeric 4
 222 const numeric *_num4_p;
 223 const numeric &_num4 = *_num4_p;
 224 const ex _ex4 = _num4;
 225
 226 // static numeric 5
 227 const numeric *_num5_p;
 228 const numeric &_num5 = *_num5_p;
 229 const ex _ex5 = _num5;
 230
 231 // static numeric 6
 232 const numeric *_num6_p;
 233 const numeric &_num6 = *_num6_p;
 234 const ex _ex6 = _num6;
 235
 236 // static numeric 7
 237 const numeric *_num7_p;
 238 const numeric &_num7 = *_num7_p;
 239 const ex _ex7 = _num7;
 240
 241 // static numeric 8
 242 const numeric *_num8_p;
 243 const numeric &_num8 = *_num8_p;
 244 const ex _ex8 = _num8;
 245
 246 // static numeric 9
 247 const numeric *_num9_p;
 248 const numeric &_num9 = *_num9_p;
 249 const ex _ex9 = _num9;
 250
 251 // static numeric 10
 252 const numeric *_num10_p;
 253 const numeric &_num10 = *_num10_p;
 254 const ex _ex10 = _num10;
 255
 256 // static numeric 11
 257 const numeric *_num11_p;
 258 const numeric &_num11 = *_num11_p;
 259 const ex _ex11 = _num11;
 260
 261 // static numeric 12
 262 const numeric *_num12_p;
 263 const numeric &_num12 = *_num12_p;
 264 const ex _ex12 = _num12;
 265
 266 // static numeric 15
 267 const numeric *_num15_p;
 268 const numeric &_num15 = *_num15_p;
 269 const ex _ex15 = _num15;
 270
 271 // static numeric 18
 272 const numeric *_num18_p;
 273 const numeric &_num18 = *_num18_p;
 274 const ex _ex18 = _num18;
 275
 276 // static numeric 20
 277 const numeric *_num20_p;
 278 const numeric &_num20 = *_num20_p;
 279 const ex _ex20 = _num20;
 280
 281 // static numeric 24
 282 const numeric *_num24_p;
 283 const numeric &_num24 = *_num24_p;
 284 const ex _ex24 = _num24;
 285
 286 // static numeric 25
 287 const numeric *_num25_p;
 288 const numeric &_num25 = *_num25_p;
 289 const ex _ex25 = _num25;
 290
 291 // static numeric 30
 292 const numeric *_num30_p;
 293 const numeric &_num30 = *_num30_p;
 294 const ex _ex30 = _num30;
 295
 296 // static numeric 48
 297 const numeric *_num48_p;
 298 const numeric &_num48 = *_num48_p;
 299 const ex _ex48 = _num48;
 300
 301 // static numeric 60
 302 const numeric *_num60_p;
 303 const numeric &_num60 = *_num60_p;
 304 const ex _ex60 = _num60;
 305
 306 // static numeric 120
 307 const numeric *_num120_p;
 308 const numeric &_num120 = *_num120_p;
 309 const ex _ex120 = _num120;
 310
 311 /** Ctor of static initialization helpers.  The fist call to this is going
 312  *  to initialize the library, the others do nothing. */
 313 library_init::library_init()
 314 {
 315         if (count++==0) {
 316                 _num_120_p= static_cast<const numeric*>(&((new numeric(-120))->setflag(status_flags::dynallocated)));
 317                 _num_60_p = static_cast<const numeric*>(&((new numeric(-60))->setflag(status_flags::dynallocated)));
 318                 _num_48_p = static_cast<const numeric*>(&((new numeric(-48))->setflag(status_flags::dynallocated)));
 319                 _num_30_p = static_cast<const numeric*>(&((new numeric(-30))->setflag(status_flags::dynallocated)));
 320                 _num_25_p = static_cast<const numeric*>(&((new numeric(-25))->setflag(status_flags::dynallocated)));
 321                 _num_24_p = static_cast<const numeric*>(&((new numeric(-24))->setflag(status_flags::dynallocated)));
 322                 _num_20_p = static_cast<const numeric*>(&((new numeric(-20))->setflag(status_flags::dynallocated)));
 323                 _num_18_p = static_cast<const numeric*>(&((new numeric(-18))->setflag(status_flags::dynallocated)));
 324                 _num_15_p = static_cast<const numeric*>(&((new numeric(-15))->setflag(status_flags::dynallocated)));
 325                 _num_12_p = static_cast<const numeric*>(&((new numeric(-12))->setflag(status_flags::dynallocated)));
 326                 _num_11_p = static_cast<const numeric*>(&((new numeric(-11))->setflag(status_flags::dynallocated)));
 327                 _num_10_p = static_cast<const numeric*>(&((new numeric(-10))->setflag(status_flags::dynallocated)));
 328                 _num_9_p  = static_cast<const numeric*>(&((new numeric(-9))->setflag(status_flags::dynallocated)));
 329                 _num_8_p  = static_cast<const numeric*>(&((new numeric(-8))->setflag(status_flags::dynallocated)));
 330                 _num_7_p  = static_cast<const numeric*>(&((new numeric(-7))->setflag(status_flags::dynallocated)));
 331                 _num_6_p  = static_cast<const numeric*>(&((new numeric(-6))->setflag(status_flags::dynallocated)));
 332                 _num_5_p  = static_cast<const numeric*>(&((new numeric(-5))->setflag(status_flags::dynallocated)));
 333                 _num_4_p  = static_cast<const numeric*>(&((new numeric(-4))->setflag(status_flags::dynallocated)));
 334                 _num_3_p  = static_cast<const numeric*>(&((new numeric(-3))->setflag(status_flags::dynallocated)));
 335                 _num_2_p  = static_cast<const numeric*>(&((new numeric(-2))->setflag(status_flags::dynallocated)));
 336                 _num_1_p  = static_cast<const numeric*>(&((new numeric(-1))->setflag(status_flags::dynallocated)));
 337                 _num_1_2_p= static_cast<const numeric*>(&((new numeric(-1,2))->setflag(status_flags::dynallocated)));
 338                 _num_1_3_p= static_cast<const numeric*>(&((new numeric(-1,3))->setflag(status_flags::dynallocated)));
 339                 _num_1_4_p= static_cast<const numeric*>(&((new numeric(-1,4))->setflag(status_flags::dynallocated)));
 340                 _num0_p   = static_cast<const numeric*>(&((new numeric(0))->setflag(status_flags::dynallocated)));
 341                 _num0_bp  = _num0_p;  // Cf. class ex default ctor.
 342                 _num1_4_p = static_cast<const numeric*>(&((new numeric(1,4))->setflag(status_flags::dynallocated)));
 343                 _num1_3_p = static_cast<const numeric*>(&((new numeric(1,3))->setflag(status_flags::dynallocated)));
 344                 _num1_2_p = static_cast<const numeric*>(&((new numeric(1,2))->setflag(status_flags::dynallocated)));
 345                 _num1_p   = static_cast<const numeric*>(&((new numeric(1))->setflag(status_flags::dynallocated)));
 346                 _num2_p   = static_cast<const numeric*>(&((new numeric(2))->setflag(status_flags::dynallocated)));
 347                 _num3_p   = static_cast<const numeric*>(&((new numeric(3))->setflag(status_flags::dynallocated)));
 348                 _num4_p   = static_cast<const numeric*>(&((new numeric(4))->setflag(status_flags::dynallocated)));
 349                 _num5_p   = static_cast<const numeric*>(&((new numeric(5))->setflag(status_flags::dynallocated)));
 350                 _num6_p   = static_cast<const numeric*>(&((new numeric(6))->setflag(status_flags::dynallocated)));
 351                 _num7_p   = static_cast<const numeric*>(&((new numeric(7))->setflag(status_flags::dynallocated)));
 352                 _num8_p   = static_cast<const numeric*>(&((new numeric(8))->setflag(status_flags::dynallocated)));
 353                 _num9_p   = static_cast<const numeric*>(&((new numeric(9))->setflag(status_flags::dynallocated)));
 354                 _num10_p  = static_cast<const numeric*>(&((new numeric(10))->setflag(status_flags::dynallocated)));
 355                 _num11_p  = static_cast<const numeric*>(&((new numeric(11))->setflag(status_flags::dynallocated)));
 356                 _num12_p  = static_cast<const numeric*>(&((new numeric(12))->setflag(status_flags::dynallocated)));
 357                 _num15_p  = static_cast<const numeric*>(&((new numeric(15))->setflag(status_flags::dynallocated)));
 358                 _num18_p  = static_cast<const numeric*>(&((new numeric(18))->setflag(status_flags::dynallocated)));
 359                 _num20_p  = static_cast<const numeric*>(&((new numeric(20))->setflag(status_flags::dynallocated)));
 360                 _num24_p  = static_cast<const numeric*>(&((new numeric(24))->setflag(status_flags::dynallocated)));
 361                 _num25_p  = static_cast<const numeric*>(&((new numeric(25))->setflag(status_flags::dynallocated)));
 362                 _num30_p  = static_cast<const numeric*>(&((new numeric(30))->setflag(status_flags::dynallocated)));
 363                 _num48_p  = static_cast<const numeric*>(&((new numeric(48))->setflag(status_flags::dynallocated)));
 364                 _num60_p  = static_cast<const numeric*>(&((new numeric(60))->setflag(status_flags::dynallocated)));
 365                 _num120_p = static_cast<const numeric*>(&((new numeric(120))->setflag(status_flags::dynallocated)));
 366
 367                 // Initialize print context class info (this is not strictly necessary
 368                 // but we do it anyway to make print_context_class_info::dump_hierarchy()
 369                 // output the whole hierarchy whether or not the classes are actually
 370                 // used)
 371                 print_context::get_class_info_static();
 372                 print_dflt::get_class_info_static();
 373                 print_latex::get_class_info_static();
 374                 print_python::get_class_info_static();
 375                 print_python_repr::get_class_info_static();
 376                 print_tree::get_class_info_static();
 377                 print_csrc::get_class_info_static();
 378                 print_csrc_float::get_class_info_static();
 379                 print_csrc_double::get_class_info_static();
 380                 print_csrc_cl_N::get_class_info_static();
 381         }
 382 }
 383
 384
 385 /** Dtor of static initialization helpers.  The last call to this is going
 386  *  to shut down the library, the others do nothing. */
 387 library_init::~library_init()
 388 {
 389         if (--count==0) {
 390                 // In theory, we would have to clean up here.  But since we were
 391                 // only initializing memory in the ctor and that memory is reclaimed
 392                 // anyways by the OS when the program exits, we skip this.
 393         }
 394 }
 395
 396 // comment skeleton for header files
 397
 398
 399 // member functions
 400
 401         // default constructor, destructor, copy constructor and assignment operator
 402         // none
 403
 404         // other constructors
 405         // none
 406
 407         // functions overriding virtual functions from base classes
 408         // none
 409
 410         // new virtual functions which can be overridden by derived classes
 411         // none
 412
 413         // non-virtual functions in this class
 414         // none
 415
 416 // member variables
 417 // none
 418
 419
 420
 421 // comment skeleton for implementation files
 422
 423
 424 //////////
 425 // default constructor, destructor, copy constructor and assignment operator
 426 //////////
 427
 428 // public
 429 // protected
 430
 431 //////////
 432 // other constructors
 433 //////////
 434
 435 // public
 436 // none
 437
 438 //////////
 439 // functions overriding virtual functions from base classes
 440 //////////
 441
 442 // public
 443 // protected
 444 // none
 445
 446 //////////
 447 // new virtual functions which can be overridden by derived classes
 448 //////////
 449
 450 // public
 451 // protected
 452 // none
 453
 454 //////////
 455 // non-virtual functions in this class
 456 //////////
 457
 458 // public
 459 // protected
 460 // none
 461
 462 //////////
 463 // static member variables
 464 //////////
 465
 466 // protected
 467 // private
 468 // none
 469
 470
 471 } // namespace GiNaC