Parent Directory | Revision Log

Revision **45** -
(**show annotations**)
(**download**)

*Fri Oct 14 02:15:26 2016 UTC*
(6 years, 11 months ago)
by *dashley*

File MIME type: text/plain

File size: 89918 byte(s)

File MIME type: text/plain

File size: 89918 byte(s)

Rename and relocate.

1 | // $Header: /cvsroot/esrg/sfesrg/esrgpcpj/cfbrapab/c_main.c,v 1.6 2002/01/27 17:58:15 dtashley Exp $ |

2 | |

3 | //-------------------------------------------------------------------------------- |

4 | //Copyright 2008 David T. Ashley |

5 | //------------------------------------------------------------------------------------------------- |

6 | //This source code and any program in which it is compiled/used is provided under the GNU GENERAL |

7 | //PUBLIC LICENSE, Version 3, full license text below. |

8 | //------------------------------------------------------------------------------------------------- |

9 | // GNU GENERAL PUBLIC LICENSE |

10 | // Version 3, 29 June 2007 |

11 | // |

12 | // Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/> |

13 | // Everyone is permitted to copy and distribute verbatim copies |

14 | // of this license document, but changing it is not allowed. |

15 | // |

16 | // Preamble |

17 | // |

18 | // The GNU General Public License is a free, copyleft license for |

19 | //software and other kinds of works. |

20 | // |

21 | // The licenses for most software and other practical works are designed |

22 | //to take away your freedom to share and change the works. By contrast, |

23 | //the GNU General Public License is intended to guarantee your freedom to |

24 | //share and change all versions of a program--to make sure it remains free |

25 | //software for all its users. We, the Free Software Foundation, use the |

26 | //GNU General Public License for most of our software; it applies also to |

27 | //any other work released this way by its authors. You can apply it to |

28 | //your programs, too. |

29 | // |

30 | // When we speak of free software, we are referring to freedom, not |

31 | //price. Our General Public Licenses are designed to make sure that you |

32 | //have the freedom to distribute copies of free software (and charge for |

33 | //them if you wish), that you receive source code or can get it if you |

34 | //want it, that you can change the software or use pieces of it in new |

35 | //free programs, and that you know you can do these things. |

36 | // |

37 | // To protect your rights, we need to prevent others from denying you |

38 | //these rights or asking you to surrender the rights. Therefore, you have |

39 | //certain responsibilities if you distribute copies of the software, or if |

40 | //you modify it: responsibilities to respect the freedom of others. |

41 | // |

42 | // For example, if you distribute copies of such a program, whether |

43 | //gratis or for a fee, you must pass on to the recipients the same |

44 | //freedoms that you received. You must make sure that they, too, receive |

45 | //or can get the source code. And you must show them these terms so they |

46 | //know their rights. |

47 | // |

48 | // Developers that use the GNU GPL protect your rights with two steps: |

49 | //(1) assert copyright on the software, and (2) offer you this License |

50 | //giving you legal permission to copy, distribute and/or modify it. |

51 | // |

52 | // For the developers' and authors' protection, the GPL clearly explains |

53 | //that there is no warranty for this free software. For both users' and |

54 | //authors' sake, the GPL requires that modified versions be marked as |

55 | //changed, so that their problems will not be attributed erroneously to |

56 | //authors of previous versions. |

57 | // |

58 | // Some devices are designed to deny users access to install or run |

59 | //modified versions of the software inside them, although the manufacturer |

60 | //can do so. This is fundamentally incompatible with the aim of |

61 | //protecting users' freedom to change the software. The systematic |

62 | //pattern of such abuse occurs in the area of products for individuals to |

63 | //use, which is precisely where it is most unacceptable. Therefore, we |

64 | //have designed this version of the GPL to prohibit the practice for those |

65 | //products. If such problems arise substantially in other domains, we |

66 | //stand ready to extend this provision to those domains in future versions |

67 | //of the GPL, as needed to protect the freedom of users. |

68 | // |

69 | // Finally, every program is threatened constantly by software patents. |

70 | //States should not allow patents to restrict development and use of |

71 | //software on general-purpose computers, but in those that do, we wish to |

72 | //avoid the special danger that patents applied to a free program could |

73 | //make it effectively proprietary. To prevent this, the GPL assures that |

74 | //patents cannot be used to render the program non-free. |

75 | // |

76 | // The precise terms and conditions for copying, distribution and |

77 | //modification follow. |

78 | // |

79 | // TERMS AND CONDITIONS |

80 | // |

81 | // 0. Definitions. |

82 | // |

83 | // "This License" refers to version 3 of the GNU General Public License. |

84 | // |

85 | // "Copyright" also means copyright-like laws that apply to other kinds of |

86 | //works, such as semiconductor masks. |

87 | // |

88 | // "The Program" refers to any copyrightable work licensed under this |

89 | //License. Each licensee is addressed as "you". "Licensees" and |

90 | //"recipients" may be individuals or organizations. |

91 | // |

92 | // To "modify" a work means to copy from or adapt all or part of the work |

93 | //in a fashion requiring copyright permission, other than the making of an |

94 | //exact copy. The resulting work is called a "modified version" of the |

95 | //earlier work or a work "based on" the earlier work. |

96 | // |

97 | // A "covered work" means either the unmodified Program or a work based |

98 | //on the Program. |

99 | // |

100 | // To "propagate" a work means to do anything with it that, without |

101 | //permission, would make you directly or secondarily liable for |

102 | //infringement under applicable copyright law, except executing it on a |

103 | //computer or modifying a private copy. Propagation includes copying, |

104 | //distribution (with or without modification), making available to the |

105 | //public, and in some countries other activities as well. |

106 | // |

107 | // To "convey" a work means any kind of propagation that enables other |

108 | //parties to make or receive copies. Mere interaction with a user through |

109 | //a computer network, with no transfer of a copy, is not conveying. |

110 | // |

111 | // An interactive user interface displays "Appropriate Legal Notices" |

112 | //to the extent that it includes a convenient and prominently visible |

113 | //feature that (1) displays an appropriate copyright notice, and (2) |

114 | //tells the user that there is no warranty for the work (except to the |

115 | //extent that warranties are provided), that licensees may convey the |

116 | //work under this License, and how to view a copy of this License. If |

117 | //the interface presents a list of user commands or options, such as a |

118 | //menu, a prominent item in the list meets this criterion. |

119 | // |

120 | // 1. Source Code. |

121 | // |

122 | // The "source code" for a work means the preferred form of the work |

123 | //for making modifications to it. "Object code" means any non-source |

124 | //form of a work. |

125 | // |

126 | // A "Standard Interface" means an interface that either is an official |

127 | //standard defined by a recognized standards body, or, in the case of |

128 | //interfaces specified for a particular programming language, one that |

129 | //is widely used among developers working in that language. |

130 | // |

131 | // The "System Libraries" of an executable work include anything, other |

132 | //than the work as a whole, that (a) is included in the normal form of |

133 | //packaging a Major Component, but which is not part of that Major |

134 | //Component, and (b) serves only to enable use of the work with that |

135 | //Major Component, or to implement a Standard Interface for which an |

136 | //implementation is available to the public in source code form. A |

137 | //"Major Component", in this context, means a major essential component |

138 | //(kernel, window system, and so on) of the specific operating system |

139 | //(if any) on which the executable work runs, or a compiler used to |

140 | //produce the work, or an object code interpreter used to run it. |

141 | // |

142 | // The "Corresponding Source" for a work in object code form means all |

143 | //the source code needed to generate, install, and (for an executable |

144 | //work) run the object code and to modify the work, including scripts to |

145 | //control those activities. However, it does not include the work's |

146 | //System Libraries, or general-purpose tools or generally available free |

147 | //programs which are used unmodified in performing those activities but |

148 | //which are not part of the work. For example, Corresponding Source |

149 | //includes interface definition files associated with source files for |

150 | //the work, and the source code for shared libraries and dynamically |

151 | //linked subprograms that the work is specifically designed to require, |

152 | //such as by intimate data communication or control flow between those |

153 | //subprograms and other parts of the work. |

154 | // |

155 | // The Corresponding Source need not include anything that users |

156 | //can regenerate automatically from other parts of the Corresponding |

157 | //Source. |

158 | // |

159 | // The Corresponding Source for a work in source code form is that |

160 | //same work. |

161 | // |

162 | // 2. Basic Permissions. |

163 | // |

164 | // All rights granted under this License are granted for the term of |

165 | //copyright on the Program, and are irrevocable provided the stated |

166 | //conditions are met. This License explicitly affirms your unlimited |

167 | //permission to run the unmodified Program. The output from running a |

168 | //covered work is covered by this License only if the output, given its |

169 | //content, constitutes a covered work. This License acknowledges your |

170 | //rights of fair use or other equivalent, as provided by copyright law. |

171 | // |

172 | // You may make, run and propagate covered works that you do not |

173 | //convey, without conditions so long as your license otherwise remains |

174 | //in force. You may convey covered works to others for the sole purpose |

175 | //of having them make modifications exclusively for you, or provide you |

176 | //with facilities for running those works, provided that you comply with |

177 | //the terms of this License in conveying all material for which you do |

178 | //not control copyright. Those thus making or running the covered works |

179 | //for you must do so exclusively on your behalf, under your direction |

180 | //and control, on terms that prohibit them from making any copies of |

181 | //your copyrighted material outside their relationship with you. |

182 | // |

183 | // Conveying under any other circumstances is permitted solely under |

184 | //the conditions stated below. Sublicensing is not allowed; section 10 |

185 | //makes it unnecessary. |

186 | // |

187 | // 3. Protecting Users' Legal Rights From Anti-Circumvention Law. |

188 | // |

189 | // No covered work shall be deemed part of an effective technological |

190 | //measure under any applicable law fulfilling obligations under article |

191 | //11 of the WIPO copyright treaty adopted on 20 December 1996, or |

192 | //similar laws prohibiting or restricting circumvention of such |

193 | //measures. |

194 | // |

195 | // When you convey a covered work, you waive any legal power to forbid |

196 | //circumvention of technological measures to the extent such circumvention |

197 | //is effected by exercising rights under this License with respect to |

198 | //the covered work, and you disclaim any intention to limit operation or |

199 | //modification of the work as a means of enforcing, against the work's |

200 | //users, your or third parties' legal rights to forbid circumvention of |

201 | //technological measures. |

202 | // |

203 | // 4. Conveying Verbatim Copies. |

204 | // |

205 | // You may convey verbatim copies of the Program's source code as you |

206 | //receive it, in any medium, provided that you conspicuously and |

207 | //appropriately publish on each copy an appropriate copyright notice; |

208 | //keep intact all notices stating that this License and any |

209 | //non-permissive terms added in accord with section 7 apply to the code; |

210 | //keep intact all notices of the absence of any warranty; and give all |

211 | //recipients a copy of this License along with the Program. |

212 | // |

213 | // You may charge any price or no price for each copy that you convey, |

214 | //and you may offer support or warranty protection for a fee. |

215 | // |

216 | // 5. Conveying Modified Source Versions. |

217 | // |

218 | // You may convey a work based on the Program, or the modifications to |

219 | //produce it from the Program, in the form of source code under the |

220 | //terms of section 4, provided that you also meet all of these conditions: |

221 | // |

222 | // a) The work must carry prominent notices stating that you modified |

223 | // it, and giving a relevant date. |

224 | // |

225 | // b) The work must carry prominent notices stating that it is |

226 | // released under this License and any conditions added under section |

227 | // 7. This requirement modifies the requirement in section 4 to |

228 | // "keep intact all notices". |

229 | // |

230 | // c) You must license the entire work, as a whole, under this |

231 | // License to anyone who comes into possession of a copy. This |

232 | // License will therefore apply, along with any applicable section 7 |

233 | // additional terms, to the whole of the work, and all its parts, |

234 | // regardless of how they are packaged. This License gives no |

235 | // permission to license the work in any other way, but it does not |

236 | // invalidate such permission if you have separately received it. |

237 | // |

238 | // d) If the work has interactive user interfaces, each must display |

239 | // Appropriate Legal Notices; however, if the Program has interactive |

240 | // interfaces that do not display Appropriate Legal Notices, your |

241 | // work need not make them do so. |

242 | // |

243 | // A compilation of a covered work with other separate and independent |

244 | //works, which are not by their nature extensions of the covered work, |

245 | //and which are not combined with it such as to form a larger program, |

246 | //in or on a volume of a storage or distribution medium, is called an |

247 | //"aggregate" if the compilation and its resulting copyright are not |

248 | //used to limit the access or legal rights of the compilation's users |

249 | //beyond what the individual works permit. Inclusion of a covered work |

250 | //in an aggregate does not cause this License to apply to the other |

251 | //parts of the aggregate. |

252 | // |

253 | // 6. Conveying Non-Source Forms. |

254 | // |

255 | // You may convey a covered work in object code form under the terms |

256 | //of sections 4 and 5, provided that you also convey the |

257 | //machine-readable Corresponding Source under the terms of this License, |

258 | //in one of these ways: |

259 | // |

260 | // a) Convey the object code in, or embodied in, a physical product |

261 | // (including a physical distribution medium), accompanied by the |

262 | // Corresponding Source fixed on a durable physical medium |

263 | // customarily used for software interchange. |

264 | // |

265 | // b) Convey the object code in, or embodied in, a physical product |

266 | // (including a physical distribution medium), accompanied by a |

267 | // written offer, valid for at least three years and valid for as |

268 | // long as you offer spare parts or customer support for that product |

269 | // model, to give anyone who possesses the object code either (1) a |

270 | // copy of the Corresponding Source for all the software in the |

271 | // product that is covered by this License, on a durable physical |

272 | // medium customarily used for software interchange, for a price no |

273 | // more than your reasonable cost of physically performing this |

274 | // conveying of source, or (2) access to copy the |

275 | // Corresponding Source from a network server at no charge. |

276 | // |

277 | // c) Convey individual copies of the object code with a copy of the |

278 | // written offer to provide the Corresponding Source. This |

279 | // alternative is allowed only occasionally and noncommercially, and |

280 | // only if you received the object code with such an offer, in accord |

281 | // with subsection 6b. |

282 | // |

283 | // d) Convey the object code by offering access from a designated |

284 | // place (gratis or for a charge), and offer equivalent access to the |

285 | // Corresponding Source in the same way through the same place at no |

286 | // further charge. You need not require recipients to copy the |

287 | // Corresponding Source along with the object code. If the place to |

288 | // copy the object code is a network server, the Corresponding Source |

289 | // may be on a different server (operated by you or a third party) |

290 | // that supports equivalent copying facilities, provided you maintain |

291 | // clear directions next to the object code saying where to find the |

292 | // Corresponding Source. Regardless of what server hosts the |

293 | // Corresponding Source, you remain obligated to ensure that it is |

294 | // available for as long as needed to satisfy these requirements. |

295 | // |

296 | // e) Convey the object code using peer-to-peer transmission, provided |

297 | // you inform other peers where the object code and Corresponding |

298 | // Source of the work are being offered to the general public at no |

299 | // charge under subsection 6d. |

300 | // |

301 | // A separable portion of the object code, whose source code is excluded |

302 | //from the Corresponding Source as a System Library, need not be |

303 | //included in conveying the object code work. |

304 | // |

305 | // A "User Product" is either (1) a "consumer product", which means any |

306 | //tangible personal property which is normally used for personal, family, |

307 | //or household purposes, or (2) anything designed or sold for incorporation |

308 | //into a dwelling. In determining whether a product is a consumer product, |

309 | //doubtful cases shall be resolved in favor of coverage. For a particular |

310 | //product received by a particular user, "normally used" refers to a |

311 | //typical or common use of that class of product, regardless of the status |

312 | //of the particular user or of the way in which the particular user |

313 | //actually uses, or expects or is expected to use, the product. A product |

314 | //is a consumer product regardless of whether the product has substantial |

315 | //commercial, industrial or non-consumer uses, unless such uses represent |

316 | //the only significant mode of use of the product. |

317 | // |

318 | // "Installation Information" for a User Product means any methods, |

319 | //procedures, authorization keys, or other information required to install |

320 | //and execute modified versions of a covered work in that User Product from |

321 | //a modified version of its Corresponding Source. The information must |

322 | //suffice to ensure that the continued functioning of the modified object |

323 | //code is in no case prevented or interfered with solely because |

324 | //modification has been made. |

325 | // |

326 | // If you convey an object code work under this section in, or with, or |

327 | //specifically for use in, a User Product, and the conveying occurs as |

328 | //part of a transaction in which the right of possession and use of the |

329 | //User Product is transferred to the recipient in perpetuity or for a |

330 | //fixed term (regardless of how the transaction is characterized), the |

331 | //Corresponding Source conveyed under this section must be accompanied |

332 | //by the Installation Information. But this requirement does not apply |

333 | //if neither you nor any third party retains the ability to install |

334 | //modified object code on the User Product (for example, the work has |

335 | //been installed in ROM). |

336 | // |

337 | // The requirement to provide Installation Information does not include a |

338 | //requirement to continue to provide support service, warranty, or updates |

339 | //for a work that has been modified or installed by the recipient, or for |

340 | //the User Product in which it has been modified or installed. Access to a |

341 | //network may be denied when the modification itself materially and |

342 | //adversely affects the operation of the network or violates the rules and |

343 | //protocols for communication across the network. |

344 | // |

345 | // Corresponding Source conveyed, and Installation Information provided, |

346 | //in accord with this section must be in a format that is publicly |

347 | //documented (and with an implementation available to the public in |

348 | //source code form), and must require no special password or key for |

349 | //unpacking, reading or copying. |

350 | // |

351 | // 7. Additional Terms. |

352 | // |

353 | // "Additional permissions" are terms that supplement the terms of this |

354 | //License by making exceptions from one or more of its conditions. |

355 | //Additional permissions that are applicable to the entire Program shall |

356 | //be treated as though they were included in this License, to the extent |

357 | //that they are valid under applicable law. If additional permissions |

358 | //apply only to part of the Program, that part may be used separately |

359 | //under those permissions, but the entire Program remains governed by |

360 | //this License without regard to the additional permissions. |

361 | // |

362 | // When you convey a copy of a covered work, you may at your option |

363 | //remove any additional permissions from that copy, or from any part of |

364 | //it. (Additional permissions may be written to require their own |

365 | //removal in certain cases when you modify the work.) You may place |

366 | //additional permissions on material, added by you to a covered work, |

367 | //for which you have or can give appropriate copyright permission. |

368 | // |

369 | // Notwithstanding any other provision of this License, for material you |

370 | //add to a covered work, you may (if authorized by the copyright holders of |

371 | //that material) supplement the terms of this License with terms: |

372 | // |

373 | // a) Disclaiming warranty or limiting liability differently from the |

374 | // terms of sections 15 and 16 of this License; or |

375 | // |

376 | // b) Requiring preservation of specified reasonable legal notices or |

377 | // author attributions in that material or in the Appropriate Legal |

378 | // Notices displayed by works containing it; or |

379 | // |

380 | // c) Prohibiting misrepresentation of the origin of that material, or |

381 | // requiring that modified versions of such material be marked in |

382 | // reasonable ways as different from the original version; or |

383 | // |

384 | // d) Limiting the use for publicity purposes of names of licensors or |

385 | // authors of the material; or |

386 | // |

387 | // e) Declining to grant rights under trademark law for use of some |

388 | // trade names, trademarks, or service marks; or |

389 | // |

390 | // f) Requiring indemnification of licensors and authors of that |

391 | // material by anyone who conveys the material (or modified versions of |

392 | // it) with contractual assumptions of liability to the recipient, for |

393 | // any liability that these contractual assumptions directly impose on |

394 | // those licensors and authors. |

395 | // |

396 | // All other non-permissive additional terms are considered "further |

397 | //restrictions" within the meaning of section 10. If the Program as you |

398 | //received it, or any part of it, contains a notice stating that it is |

399 | //governed by this License along with a term that is a further |

400 | //restriction, you may remove that term. If a license document contains |

401 | //a further restriction but permits relicensing or conveying under this |

402 | //License, you may add to a covered work material governed by the terms |

403 | //of that license document, provided that the further restriction does |

404 | //not survive such relicensing or conveying. |

405 | // |

406 | // If you add terms to a covered work in accord with this section, you |

407 | //must place, in the relevant source files, a statement of the |

408 | //additional terms that apply to those files, or a notice indicating |

409 | //where to find the applicable terms. |

410 | // |

411 | // Additional terms, permissive or non-permissive, may be stated in the |

412 | //form of a separately written license, or stated as exceptions; |

413 | //the above requirements apply either way. |

414 | // |

415 | // 8. Termination. |

416 | // |

417 | // You may not propagate or modify a covered work except as expressly |

418 | //provided under this License. Any attempt otherwise to propagate or |

419 | //modify it is void, and will automatically terminate your rights under |

420 | //this License (including any patent licenses granted under the third |

421 | //paragraph of section 11). |

422 | // |

423 | // However, if you cease all violation of this License, then your |

424 | //license from a particular copyright holder is reinstated (a) |

425 | //provisionally, unless and until the copyright holder explicitly and |

426 | //finally terminates your license, and (b) permanently, if the copyright |

427 | //holder fails to notify you of the violation by some reasonable means |

428 | //prior to 60 days after the cessation. |

429 | // |

430 | // Moreover, your license from a particular copyright holder is |

431 | //reinstated permanently if the copyright holder notifies you of the |

432 | //violation by some reasonable means, this is the first time you have |

433 | //received notice of violation of this License (for any work) from that |

434 | //copyright holder, and you cure the violation prior to 30 days after |

435 | //your receipt of the notice. |

436 | // |

437 | // Termination of your rights under this section does not terminate the |

438 | //licenses of parties who have received copies or rights from you under |

439 | //this License. If your rights have been terminated and not permanently |

440 | //reinstated, you do not qualify to receive new licenses for the same |

441 | //material under section 10. |

442 | // |

443 | // 9. Acceptance Not Required for Having Copies. |

444 | // |

445 | // You are not required to accept this License in order to receive or |

446 | //run a copy of the Program. Ancillary propagation of a covered work |

447 | //occurring solely as a consequence of using peer-to-peer transmission |

448 | //to receive a copy likewise does not require acceptance. However, |

449 | //nothing other than this License grants you permission to propagate or |

450 | //modify any covered work. These actions infringe copyright if you do |

451 | //not accept this License. Therefore, by modifying or propagating a |

452 | //covered work, you indicate your acceptance of this License to do so. |

453 | // |

454 | // 10. Automatic Licensing of Downstream Recipients. |

455 | // |

456 | // Each time you convey a covered work, the recipient automatically |

457 | //receives a license from the original licensors, to run, modify and |

458 | //propagate that work, subject to this License. You are not responsible |

459 | //for enforcing compliance by third parties with this License. |

460 | // |

461 | // An "entity transaction" is a transaction transferring control of an |

462 | //organization, or substantially all assets of one, or subdividing an |

463 | //organization, or merging organizations. If propagation of a covered |

464 | //work results from an entity transaction, each party to that |

465 | //transaction who receives a copy of the work also receives whatever |

466 | //licenses to the work the party's predecessor in interest had or could |

467 | //give under the previous paragraph, plus a right to possession of the |

468 | //Corresponding Source of the work from the predecessor in interest, if |

469 | //the predecessor has it or can get it with reasonable efforts. |

470 | // |

471 | // You may not impose any further restrictions on the exercise of the |

472 | //rights granted or affirmed under this License. For example, you may |

473 | //not impose a license fee, royalty, or other charge for exercise of |

474 | //rights granted under this License, and you may not initiate litigation |

475 | //(including a cross-claim or counterclaim in a lawsuit) alleging that |

476 | //any patent claim is infringed by making, using, selling, offering for |

477 | //sale, or importing the Program or any portion of it. |

478 | // |

479 | // 11. Patents. |

480 | // |

481 | // A "contributor" is a copyright holder who authorizes use under this |

482 | //License of the Program or a work on which the Program is based. The |

483 | //work thus licensed is called the contributor's "contributor version". |

484 | // |

485 | // A contributor's "essential patent claims" are all patent claims |

486 | //owned or controlled by the contributor, whether already acquired or |

487 | //hereafter acquired, that would be infringed by some manner, permitted |

488 | //by this License, of making, using, or selling its contributor version, |

489 | //but do not include claims that would be infringed only as a |

490 | //consequence of further modification of the contributor version. For |

491 | //purposes of this definition, "control" includes the right to grant |

492 | //patent sublicenses in a manner consistent with the requirements of |

493 | //this License. |

494 | // |

495 | // Each contributor grants you a non-exclusive, worldwide, royalty-free |

496 | //patent license under the contributor's essential patent claims, to |

497 | //make, use, sell, offer for sale, import and otherwise run, modify and |

498 | //propagate the contents of its contributor version. |

499 | // |

500 | // In the following three paragraphs, a "patent license" is any express |

501 | //agreement or commitment, however denominated, not to enforce a patent |

502 | //(such as an express permission to practice a patent or covenant not to |

503 | //sue for patent infringement). To "grant" such a patent license to a |

504 | //party means to make such an agreement or commitment not to enforce a |

505 | //patent against the party. |

506 | // |

507 | // If you convey a covered work, knowingly relying on a patent license, |

508 | //and the Corresponding Source of the work is not available for anyone |

509 | //to copy, free of charge and under the terms of this License, through a |

510 | //publicly available network server or other readily accessible means, |

511 | //then you must either (1) cause the Corresponding Source to be so |

512 | //available, or (2) arrange to deprive yourself of the benefit of the |

513 | //patent license for this particular work, or (3) arrange, in a manner |

514 | //consistent with the requirements of this License, to extend the patent |

515 | //license to downstream recipients. "Knowingly relying" means you have |

516 | //actual knowledge that, but for the patent license, your conveying the |

517 | //covered work in a country, or your recipient's use of the covered work |

518 | //in a country, would infringe one or more identifiable patents in that |

519 | //country that you have reason to believe are valid. |

520 | // |

521 | // If, pursuant to or in connection with a single transaction or |

522 | //arrangement, you convey, or propagate by procuring conveyance of, a |

523 | //covered work, and grant a patent license to some of the parties |

524 | //receiving the covered work authorizing them to use, propagate, modify |

525 | //or convey a specific copy of the covered work, then the patent license |

526 | //you grant is automatically extended to all recipients of the covered |

527 | //work and works based on it. |

528 | // |

529 | // A patent license is "discriminatory" if it does not include within |

530 | //the scope of its coverage, prohibits the exercise of, or is |

531 | //conditioned on the non-exercise of one or more of the rights that are |

532 | //specifically granted under this License. You may not convey a covered |

533 | //work if you are a party to an arrangement with a third party that is |

534 | //in the business of distributing software, under which you make payment |

535 | //to the third party based on the extent of your activity of conveying |

536 | //the work, and under which the third party grants, to any of the |

537 | //parties who would receive the covered work from you, a discriminatory |

538 | //patent license (a) in connection with copies of the covered work |

539 | //conveyed by you (or copies made from those copies), or (b) primarily |

540 | //for and in connection with specific products or compilations that |

541 | //contain the covered work, unless you entered into that arrangement, |

542 | //or that patent license was granted, prior to 28 March 2007. |

543 | // |

544 | // Nothing in this License shall be construed as excluding or limiting |

545 | //any implied license or other defenses to infringement that may |

546 | //otherwise be available to you under applicable patent law. |

547 | // |

548 | // 12. No Surrender of Others' Freedom. |

549 | // |

550 | // If conditions are imposed on you (whether by court order, agreement or |

551 | //otherwise) that contradict the conditions of this License, they do not |

552 | //excuse you from the conditions of this License. If you cannot convey a |

553 | //covered work so as to satisfy simultaneously your obligations under this |

554 | //License and any other pertinent obligations, then as a consequence you may |

555 | //not convey it at all. For example, if you agree to terms that obligate you |

556 | //to collect a royalty for further conveying from those to whom you convey |

557 | //the Program, the only way you could satisfy both those terms and this |

558 | //License would be to refrain entirely from conveying the Program. |

559 | // |

560 | // 13. Use with the GNU Affero General Public License. |

561 | // |

562 | // Notwithstanding any other provision of this License, you have |

563 | //permission to link or combine any covered work with a work licensed |

564 | //under version 3 of the GNU Affero General Public License into a single |

565 | //combined work, and to convey the resulting work. The terms of this |

566 | //License will continue to apply to the part which is the covered work, |

567 | //but the special requirements of the GNU Affero General Public License, |

568 | //section 13, concerning interaction through a network will apply to the |

569 | //combination as such. |

570 | // |

571 | // 14. Revised Versions of this License. |

572 | // |

573 | // The Free Software Foundation may publish revised and/or new versions of |

574 | //the GNU General Public License from time to time. Such new versions will |

575 | //be similar in spirit to the present version, but may differ in detail to |

576 | //address new problems or concerns. |

577 | // |

578 | // Each version is given a distinguishing version number. If the |

579 | //Program specifies that a certain numbered version of the GNU General |

580 | //Public License "or any later version" applies to it, you have the |

581 | //option of following the terms and conditions either of that numbered |

582 | //version or of any later version published by the Free Software |

583 | //Foundation. If the Program does not specify a version number of the |

584 | //GNU General Public License, you may choose any version ever published |

585 | //by the Free Software Foundation. |

586 | // |

587 | // If the Program specifies that a proxy can decide which future |

588 | //versions of the GNU General Public License can be used, that proxy's |

589 | //public statement of acceptance of a version permanently authorizes you |

590 | //to choose that version for the Program. |

591 | // |

592 | // Later license versions may give you additional or different |

593 | //permissions. However, no additional obligations are imposed on any |

594 | //author or copyright holder as a result of your choosing to follow a |

595 | //later version. |

596 | // |

597 | // 15. Disclaimer of Warranty. |

598 | // |

599 | // THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY |

600 | //APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT |

601 | //HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY |

602 | //OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, |

603 | //THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |

604 | //PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM |

605 | //IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF |

606 | //ALL NECESSARY SERVICING, REPAIR OR CORRECTION. |

607 | // |

608 | // 16. Limitation of Liability. |

609 | // |

610 | // IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING |

611 | //WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS |

612 | //THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY |

613 | //GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE |

614 | //USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF |

615 | //DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD |

616 | //PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), |

617 | //EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF |

618 | //SUCH DAMAGES. |

619 | // |

620 | // 17. Interpretation of Sections 15 and 16. |

621 | // |

622 | // If the disclaimer of warranty and limitation of liability provided |

623 | //above cannot be given local legal effect according to their terms, |

624 | //reviewing courts shall apply local law that most closely approximates |

625 | //an absolute waiver of all civil liability in connection with the |

626 | //Program, unless a warranty or assumption of liability accompanies a |

627 | //copy of the Program in return for a fee. |

628 | // |

629 | // END OF TERMS AND CONDITIONS |

630 | // |

631 | // How to Apply These Terms to Your New Programs |

632 | // |

633 | // If you develop a new program, and you want it to be of the greatest |

634 | //possible use to the public, the best way to achieve this is to make it |

635 | //free software which everyone can redistribute and change under these terms. |

636 | // |

637 | // To do so, attach the following notices to the program. It is safest |

638 | //to attach them to the start of each source file to most effectively |

639 | //state the exclusion of warranty; and each file should have at least |

640 | //the "copyright" line and a pointer to where the full notice is found. |

641 | // |

642 | // <one line to give the program's name and a brief idea of what it does.> |

643 | // Copyright (C) <year> <name of author> |

644 | // |

645 | // This program is free software: you can redistribute it and/or modify |

646 | // it under the terms of the GNU General Public License as published by |

647 | // the Free Software Foundation, either version 3 of the License, or |

648 | // (at your option) any later version. |

649 | // |

650 | // This program is distributed in the hope that it will be useful, |

651 | // but WITHOUT ANY WARRANTY; without even the implied warranty of |

652 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |

653 | // GNU General Public License for more details. |

654 | // |

655 | // You should have received a copy of the GNU General Public License |

656 | // along with this program. If not, see <http://www.gnu.org/licenses/>. |

657 | // |

658 | //Also add information on how to contact you by electronic and paper mail. |

659 | // |

660 | // If the program does terminal interaction, make it output a short |

661 | //notice like this when it starts in an interactive mode: |

662 | // |

663 | // <program> Copyright (C) <year> <name of author> |

664 | // This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. |

665 | // This is free software, and you are welcome to redistribute it |

666 | // under certain conditions; type `show c' for details. |

667 | // |

668 | //The hypothetical commands `show w' and `show c' should show the appropriate |

669 | //parts of the General Public License. Of course, your program's commands |

670 | //might be different; for a GUI interface, you would use an "about box". |

671 | // |

672 | // You should also get your employer (if you work as a programmer) or school, |

673 | //if any, to sign a "copyright disclaimer" for the program, if necessary. |

674 | //For more information on this, and how to apply and follow the GNU GPL, see |

675 | //<http://www.gnu.org/licenses/>. |

676 | // |

677 | // The GNU General Public License does not permit incorporating your program |

678 | //into proprietary programs. If your program is a subroutine library, you |

679 | //may consider it more useful to permit linking proprietary applications with |

680 | //the library. If this is what you want to do, use the GNU Lesser General |

681 | //Public License instead of this License. But first, please read |

682 | //<http://www.gnu.org/philosophy/why-not-lgpl.html>. |

683 | //------------------------------------------------------------------------------------------------- |

684 | //-------------------------------------------------------------------------------- |

685 | #include <assert.h> |

686 | #include <malloc.h> |

687 | #include <process.h> |

688 | #include <stdio.h> |

689 | #include <string.h> |

690 | #include <time.h> |

691 | |

692 | |

693 | #include "bstrfunc.h" |

694 | #include "ccmalloc.h" |

695 | #include "ccmfatal.h" |

696 | #include "charfunc.h" |

697 | #include "cu_msgs.h" |

698 | #include "fcmiof.h" |

699 | #include "gmp_ints.h" |

700 | #include "gmp_rats.h" |

701 | #include "gmp_ralg.h" |

702 | #include "intfunc.h" |

703 | |

704 | |

705 | #define PNAME "cfbrapab" |

706 | #define PNAMEUC "CFBRAPAB" |

707 | |

708 | |

709 | const char *C_MAIN_cvcinfo(void) |

710 | { |

711 | return("$Header: /cvsroot/esrg/sfesrg/esrgpcpj/cfbrapab/c_main.c,v 1.6 2002/01/27 17:58:15 dtashley Exp $"); |

712 | } |

713 | |

714 | |

715 | //This is a NULL-terminated table of pointers to functions |

716 | //which return version control strings for all of the files |

717 | //which make up the INTFAC program. This information would |

718 | //be helpful for debugging. |

719 | static const char *(*C_MAIN_vcinfoptrs[])(void) = |

720 | { |

721 | //This is the main module, should come first. |

722 | C_MAIN_cvcinfo, |

723 | |

724 | //And now the others, in alphabetical order. |

725 | BSTRFUNC_hvcinfo, |

726 | BSTRFUNC_cvcinfo, |

727 | CCMALLOC_hvcinfo, |

728 | CCMALLOC_cvcinfo, |

729 | CCMFATAL_hvcinfo, |

730 | CCMFATAL_cvcinfo, |

731 | CHARFUNC_hvcinfo, |

732 | CHARFUNC_cvcinfo, |

733 | CU_MSGS_hvcinfo, |

734 | CU_MSGS_cvcinfo, |

735 | FCMIOF_hvcinfo, |

736 | FCMIOF_cvcinfo, |

737 | GMP_INTS_hvcinfo, |

738 | GMP_INTS_cvcinfo, |

739 | GMP_RALG_hvcinfo, |

740 | GMP_RALG_cvcinfo, |

741 | GMP_RATS_hvcinfo, |

742 | GMP_RATS_cvcinfo, |

743 | INTFUNC_hvcinfo, |

744 | INTFUNC_cvcinfo, |

745 | NULL |

746 | }; |

747 | |

748 | |

749 | //This is the structure type used to hold information about all the |

750 | //command-line parameters. |

751 | // |

752 | struct CfbrapabCmainStruct |

753 | { |

754 | GMP_RATS_mpq_struct rn; |

755 | //The rational number specified on the command line. |

756 | //symmetry. |

757 | GMP_INTS_mpz_struct kmax; |

758 | //The value of KMAX specified on the command line. This must always |

759 | //be present. |

760 | int hmax_specified; |

761 | //TRUE if HMAX is specified in addition to KMAX. KMAX is mandatory |

762 | //in all cases. |

763 | GMP_INTS_mpz_struct hmax; |

764 | //The value of HMAX if it is specified. This is optional. This will be |

765 | //set to zero if it is not present on the command line. |

766 | int neversmaller_specified; |

767 | //TRUE if the -neversmaller option is specified on the command line. |

768 | int neverlarger_specified; |

769 | //TRUE if the -neverlarger option is specified on the command line. |

770 | int pred_specified; |

771 | //TRUE if the -pred option is specified on the command line. |

772 | int succ_specified; |

773 | //TRUE if the -succ option specified on the command line. |

774 | int n_specified; |

775 | //TRUE if the -n parameter is specified on the command line. |

776 | unsigned n; |

777 | //The value of n if it has been specified. |

778 | CU_MSGS_std_cmd_line_par_results_struct argblock; |

779 | //The block holding the options which are common across all |

780 | //of these command-line utilities. |

781 | }; |

782 | |

783 | |

784 | //Processes the command-line parameters, and abstracts it to a |

785 | //the contents of a structure plus a failure flag. |

786 | static void process_command_line_args(struct CfbrapabCmainStruct *parblock, |

787 | int argc, |

788 | char* argv[]) |

789 | { |

790 | int error_flag; |

791 | int first_dashed_parameter; |

792 | int i; |

793 | int recognized; |

794 | |

795 | //Eyeball the input parameters. |

796 | assert(parblock != NULL); |

797 | assert(argc >= 1); |

798 | assert(argv != NULL); |

799 | |

800 | //We have to have at least 3 total parameters. However, this is covered |

801 | //in main(). |

802 | |

803 | //Process the first parameter, which has to be the rational number we |

804 | //want to approximate. If there is a problem, give a helpful message |

805 | //and exit with an error code. |

806 | GMP_RATS_mpq_init(&(parblock->rn)); |

807 | GMP_RATS_mpq_set_all_format_rat_num( argv[1], |

808 | &error_flag, |

809 | &(parblock->rn)); |

810 | |

811 | //If there was a parse error, announce and abort. |

812 | if (error_flag || GMP_RATS_mpq_is_nan(&(parblock->rn))) |

813 | { |

814 | printf("\"%s\" is not a properly formatted rational number.\n", argv[1]); |

815 | exit(4); |

816 | } |

817 | |

818 | //Normalize the rational number specified as input. It is allowed to |

819 | //be negative. |

820 | GMP_RATS_mpq_normalize(&(parblock->rn)); |

821 | |

822 | //The next item has to be a number, it has to be |

823 | //an integer, it has to be positive, and it |

824 | //is KMAX. Parse out that. If there are any |

825 | //errors, abort. |

826 | GMP_INTS_mpz_init(&(parblock->kmax)); |

827 | GMP_INTS_mpz_set_general_int(&(parblock->kmax), &error_flag, argv[2]); |

828 | if (error_flag || GMP_INTS_mpz_is_zero(&(parblock->kmax)) || GMP_INTS_mpz_is_neg(&(parblock->kmax))) |

829 | { |

830 | printf("\"%s\" is not a properly formatted positive integer.\n", argv[2]); |

831 | exit(4); |

832 | } |

833 | |

834 | //Unconditionally allocate space for hmax. |

835 | GMP_INTS_mpz_init(&(parblock->hmax)); |

836 | |

837 | //If there is a third parameter, it can be two things. It can |

838 | //be either HMAX, or it can be the start of the parameters |

839 | //with dashes. First, let's decide which case applies. |

840 | if (argc <= 3) |

841 | { |

842 | first_dashed_parameter = 3; |

843 | parblock->hmax_specified = 0; |

844 | } |

845 | else |

846 | { |

847 | if (argv[3][0] == '-') |

848 | { |

849 | first_dashed_parameter = 3; |

850 | parblock->hmax_specified = 0; |

851 | } |

852 | else |

853 | { |

854 | first_dashed_parameter = 4; |

855 | parblock->hmax_specified = 1; |

856 | |

857 | GMP_INTS_mpz_set_general_int(&(parblock->hmax), &error_flag, argv[3]); |

858 | if (error_flag || GMP_INTS_mpz_is_zero(&(parblock->hmax)) || GMP_INTS_mpz_is_neg(&(parblock->hmax))) |

859 | { |

860 | printf("\"%s\" is not a properly formatted positive integer.\n", argv[3]); |

861 | exit(4); |

862 | } |

863 | } |

864 | } |

865 | |

866 | //Loop through the remaining parameters, trying to process each |

867 | //one either as a parameter specific to this program or else |

868 | //as a general parameter. |

869 | // |

870 | //Initialize the internal general parameter block. |

871 | CU_MSGS_cmd_line_par_results_struct_create(&(parblock->argblock)); |

872 | parblock->neversmaller_specified = 0; |

873 | parblock->neverlarger_specified = 0; |

874 | parblock->pred_specified = 0; |

875 | parblock->succ_specified = 0; |

876 | parblock->n_specified = 0; |

877 | parblock->n = 0; |

878 | |

879 | for (i=first_dashed_parameter; i<argc; i++) |

880 | { |

881 | if (!strcmp("-neversmaller", argv[i])) |

882 | { |

883 | parblock->neversmaller_specified = 1; |

884 | } |

885 | else if (!strcmp("-neverlarger", argv[i])) |

886 | { |

887 | parblock->neverlarger_specified = 1; |

888 | } |

889 | else if (!strcmp("-pred", argv[i])) |

890 | { |

891 | parblock->pred_specified = 1; |

892 | } |

893 | else if (!strcmp("-succ", argv[i])) |

894 | { |

895 | parblock->succ_specified = 1; |

896 | } |

897 | else if (!strcmp("-n", argv[i])) |

898 | { |

899 | parblock->n_specified = 1; |

900 | |

901 | //To go along with -n, we have to have a next parameter. |

902 | if (i == (argc-1)) |

903 | { |

904 | printf("The \"-n\" parameter must include a following count.\n"); |

905 | exit(4); |

906 | } |

907 | |

908 | //Bump i to index to next par. |

909 | i++; |

910 | |

911 | //Try to parse this as a UINT24. It must be that. |

912 | GMP_INTS_mpz_parse_into_uint32(&(parblock->n), &error_flag, argv[i]); |

913 | |

914 | //If it couldn't be parsed as an integer, flunk it. |

915 | if (error_flag) |

916 | { |

917 | printf("\"%s\" is not a valid unsigned integer or exceeds 24 bits.\n", argv[i]); |

918 | exit(4); |

919 | } |

920 | |

921 | //If it is too large, flunk it. |

922 | if (parblock->n > 0x00FFFFFF) |

923 | { |

924 | printf("\"%s\" is an unsigned integer but exceeds 24 bits.\n", argv[i]); |

925 | exit(4); |

926 | } |

927 | |

928 | //OK, we're cool ... |

929 | } |

930 | else |

931 | { |

932 | //Two possibilities left. Either general parameter, or else unrecognized. |

933 | CU_MSGS_cmd_line_par_results_struct_process_arg(&(parblock->argblock), |

934 | argv[i], |

935 | &recognized); |

936 | if (!recognized) |

937 | { |

938 | printf("\"%s\" is not a recognized command-line parameter.\n", argv[i]); |

939 | exit(4); |

940 | } |

941 | |

942 | //Was picked up as general parameter. |

943 | } |

944 | } |

945 | |

946 | //Congeal our thoughts on the "general" command-line parameters. No errors possible |

947 | //here. |

948 | CU_MSGS_cmd_line_par_results_struct_finalize(&(parblock->argblock)); |

949 | |

950 | //printf("Boo.\n"); |

951 | //printf("neverlarger %d succ %d\n", parblock->neverlarger_specified, parblock->succ_specified); |

952 | |

953 | //Look for mutually exclusive options among the program-specific parameters. |

954 | if ( |

955 | (parblock->neversmaller_specified && (parblock->neverlarger_specified || parblock->pred_specified || parblock->succ_specified|| parblock->n_specified)) |

956 | || |

957 | (parblock->neverlarger_specified && (parblock->pred_specified || parblock->succ_specified || parblock->n_specified)) |

958 | || |

959 | (parblock->pred_specified && (parblock->succ_specified|| parblock->n_specified)) |

960 | || |

961 | (parblock->succ_specified && parblock->n_specified) |

962 | ) |

963 | { |

964 | printf("The \"-neversmaller\", \"-neverlarger\", \"-pred\", \"-succ\", and \"-n\" options are\nmutually exclusive.\n"); |

965 | exit(4); |

966 | } |

967 | |

968 | //OK, we're clean, all pars in order. |

969 | } |

970 | |

971 | |

972 | //Releases the dynamic memory associated with the parameter block. |

973 | static void release_command_line_args(struct CfbrapabCmainStruct *parblock) |

974 | { |

975 | assert(parblock != NULL); |

976 | |

977 | //This function is superfluous, since in a command-line utility it doesn't really |

978 | //matter if everything is released. But, here goes. |

979 | CU_MSGS_cmd_line_par_results_struct_destroy(&(parblock->argblock)); |

980 | GMP_RATS_mpq_clear(&(parblock->rn)); |

981 | GMP_INTS_mpz_clear(&(parblock->kmax)); |

982 | GMP_INTS_mpz_clear(&(parblock->hmax)); |

983 | } |

984 | |

985 | |

986 | //Prints out a single rational number in the format endorsed |

987 | //by this program. This often includes DAP information |

988 | //and difference information. It is assumed that the |

989 | //previous information is terminated by a horizontal line, |

990 | //and this function terminates with a horizontal line. |

991 | static void CMAIN_print_app_in_std_form(FILE *s, |

992 | int index, |

993 | GMP_RATS_mpq_struct *rn, |

994 | GMP_RATS_mpq_struct *approx, |

995 | int nf, |

996 | int show_diff, |

997 | int show_dap, |

998 | GMP_INTS_mpz_struct *dap_den) |

999 | { |

1000 | char sbuf[250]; |

1001 | GMP_RATS_mpq_struct diff, q_temp1; |

1002 | GMP_INTS_mpz_struct z_temp1, quotient, remainder; |

1003 | |

1004 | //Eyeball the input parameters. |

1005 | assert(s != NULL); |

1006 | assert(rn != NULL); |

1007 | assert(approx != NULL); |

1008 | assert(dap_den != NULL); |

1009 | |

1010 | //Allocate. |

1011 | GMP_RATS_mpq_init(&diff); |

1012 | GMP_RATS_mpq_init(&q_temp1); |

1013 | GMP_INTS_mpz_init(&z_temp1); |

1014 | GMP_INTS_mpz_init("ient); |

1015 | GMP_INTS_mpz_init(&remainder); |

1016 | |

1017 | //Print out the approximation numerator. |

1018 | sprintf(sbuf, "approx_num(%d)", index); |

1019 | if (!nf) |

1020 | { |

1021 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1022 | &(approx->num), |

1023 | sbuf); |

1024 | } |

1025 | else |

1026 | { |

1027 | int nreserved; |

1028 | char *p; |

1029 | |

1030 | fprintf(s, "%d\n", index); |

1031 | |

1032 | nreserved = GMP_INTS_mpz_size_in_base_10(&(approx->num)); |

1033 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1034 | GMP_INTS_mpz_to_string(p, &(approx->num)); |

1035 | fprintf(s, "%s\n", p); |

1036 | CCMALLOC_free(p); |

1037 | } |

1038 | |

1039 | if (!nf) |

1040 | FCMIOF_hline(); |

1041 | |

1042 | //Print out the approximation denominator. |

1043 | sprintf(sbuf, "approx_den(%d)", index); |

1044 | if (!nf) |

1045 | { |

1046 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1047 | &(approx->den), |

1048 | sbuf); |

1049 | } |

1050 | else |

1051 | { |

1052 | int nreserved; |

1053 | char *p; |

1054 | |

1055 | nreserved = GMP_INTS_mpz_size_in_base_10(&(approx->den)); |

1056 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1057 | GMP_INTS_mpz_to_string(p, &(approx->den)); |

1058 | fprintf(s, "%s\n", p); |

1059 | CCMALLOC_free(p); |

1060 | } |

1061 | |

1062 | if (!nf) |

1063 | FCMIOF_hline(); |

1064 | |

1065 | |

1066 | //If the "dap" flag is set, calculate and display decimal equivalent of the |

1067 | //approximation. |

1068 | if (show_dap) |

1069 | { |

1070 | //Make the calculation for decimal approximation. |

1071 | GMP_RATS_mpq_copy(&q_temp1, approx); |

1072 | GMP_RATS_mpq_normalize(&q_temp1); |

1073 | GMP_INTS_mpz_mul(&z_temp1, dap_den, &q_temp1.num); |

1074 | GMP_INTS_mpz_tdiv_qr("ient, &remainder, |

1075 | &z_temp1, &q_temp1.den); |

1076 | |

1077 | sprintf(sbuf, "dap_num(%d)", index); |

1078 | if (!nf) |

1079 | { |

1080 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1081 | &(quotient), |

1082 | sbuf); |

1083 | } |

1084 | else |

1085 | { |

1086 | int nreserved; |

1087 | char *p; |

1088 | |

1089 | nreserved = GMP_INTS_mpz_size_in_base_10(&(quotient)); |

1090 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1091 | GMP_INTS_mpz_to_string(p, &(quotient)); |

1092 | fprintf(s, "%s\n", p); |

1093 | CCMALLOC_free(p); |

1094 | } |

1095 | |

1096 | if (!nf) |

1097 | FCMIOF_hline(); |

1098 | |

1099 | //Print out the approximation denominator. |

1100 | sprintf(sbuf, "dap_den(%d)", index); |

1101 | if (!nf) |

1102 | { |

1103 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1104 | dap_den, |

1105 | sbuf); |

1106 | } |

1107 | else |

1108 | { |

1109 | int nreserved; |

1110 | char *p; |

1111 | |

1112 | nreserved = GMP_INTS_mpz_size_in_base_10(dap_den); |

1113 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1114 | GMP_INTS_mpz_to_string(p, dap_den); |

1115 | fprintf(s, "%s\n", p); |

1116 | CCMALLOC_free(p); |

1117 | } |

1118 | |

1119 | if (!nf) |

1120 | FCMIOF_hline(); |

1121 | } |

1122 | |

1123 | |

1124 | //If the "diff" flag is set, calculate and display the rational difference. |

1125 | if (show_diff) |

1126 | { |

1127 | GMP_RATS_mpq_sub(&diff, approx, rn); |

1128 | GMP_RATS_mpq_normalize(&diff); |

1129 | |

1130 | sprintf(sbuf, "error_num(%d)", index); |

1131 | if (!nf) |

1132 | { |

1133 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1134 | &(diff.num), |

1135 | sbuf); |

1136 | } |

1137 | else |

1138 | { |

1139 | int nreserved; |

1140 | char *p; |

1141 | |

1142 | nreserved = GMP_INTS_mpz_size_in_base_10(&(diff.num)); |

1143 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1144 | GMP_INTS_mpz_to_string(p, &(diff.num)); |

1145 | fprintf(s, "%s\n", p); |

1146 | CCMALLOC_free(p); |

1147 | } |

1148 | |

1149 | if (!nf) |

1150 | FCMIOF_hline(); |

1151 | |

1152 | //Print out the approximation denominator. |

1153 | sprintf(sbuf, "error_den(%d)", index); |

1154 | if (!nf) |

1155 | { |

1156 | GMP_INTS_mpz_long_int_format_to_stream(s, |

1157 | &(diff.den), |

1158 | sbuf); |

1159 | } |

1160 | else |

1161 | { |

1162 | int nreserved; |

1163 | char *p; |

1164 | |

1165 | nreserved = GMP_INTS_mpz_size_in_base_10(&(diff.den)); |

1166 | p = CCMALLOC_malloc(sizeof(char) * nreserved); |

1167 | GMP_INTS_mpz_to_string(p, &(diff.den)); |

1168 | fprintf(s, "%s\n", p); |

1169 | CCMALLOC_free(p); |

1170 | } |

1171 | |

1172 | if (!nf) |

1173 | FCMIOF_hline(); |

1174 | } |

1175 | |

1176 | //Deallocate. |

1177 | GMP_RATS_mpq_clear(&diff); |

1178 | GMP_RATS_mpq_clear(&q_temp1); |

1179 | GMP_INTS_mpz_clear(&z_temp1); |

1180 | GMP_INTS_mpz_clear("ient); |

1181 | GMP_INTS_mpz_clear(&remainder); |

1182 | } |

1183 | |

1184 | |

1185 | //Handles the classic case of finding the closest |

1186 | //neighbor(s). |

1187 | static int CMAIN_classic_closest_neighbor(struct CfbrapabCmainStruct *parblock) |

1188 | { |

1189 | int rv = 0; |

1190 | GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs; |

1191 | GMP_INTS_mpz_struct dap_denominator; |

1192 | GMP_RALG_cf_app_struct cf_decomp; |

1193 | GMP_RALG_fab_neighbor_collection_struct neighbor_data; |

1194 | int error_flag; |

1195 | |

1196 | //Allocate all dynamic memory. |

1197 | GMP_RATS_mpq_init(&hmax_over_one); |

1198 | GMP_RATS_mpq_init(&hmax_over_kmax); |

1199 | GMP_INTS_mpz_init(&dap_denominator); |

1200 | GMP_RATS_mpq_init(&rn_in_abs); |

1201 | |

1202 | //Set the DAP denominator to 1e108. |

1203 | GMP_INTS_mpz_set_general_int(&dap_denominator, |

1204 | &error_flag, |

1205 | "1e108"); |

1206 | |

1207 | //By convention, we will not mess with anything with an |

1208 | //absolute value greater than HMAX/1. If such a condition exists, puke out. |

1209 | //Form up the value of HMAX/1 if HMAX was specified. |

1210 | if (parblock->hmax_specified) |

1211 | { |

1212 | GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax)); |

1213 | GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1); |

1214 | GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn)); |

1215 | GMP_INTS_mpz_abs(&(rn_in_abs.num)); |

1216 | if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0) |

1217 | { |

1218 | printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n" |

1219 | "has no neighbors in the series of interest. Calculation cannot continue.\n"); |

1220 | exit(4); |

1221 | } |

1222 | } |

1223 | |

1224 | //If the "verbose" option is specified, we want to give the continued fraction |

1225 | //partial quotients and convergents of either the number to approximate, |

1226 | //its reciprocal, or none of the above, as appropriate; and give a bit more |

1227 | //information, in addition. |

1228 | if (parblock->argblock.verbose) |

1229 | { |

1230 | if (parblock->hmax_specified) |

1231 | { |

1232 | //Stuff HMAX/KMAX. This is necessary for comparison. |

1233 | GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax)); |

1234 | GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax)); |

1235 | } |

1236 | |

1237 | if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0)) |

1238 | { |

1239 | //Either HMAX was not specified or else we are below the corner point on the |

1240 | //integer lattice. Get the continued fraction representation of the number |

1241 | //rather than its reciprocal. |

1242 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den)); |

1243 | |

1244 | //Print out the continued fraction decomposition of the rational number. |

1245 | GMP_RALG_cfdecomp_emit(stdout, |

1246 | "CF Rep Of Abs Value Of Number Specified", |

1247 | &cf_decomp, |

1248 | 0, |

1249 | 1, |

1250 | &dap_denominator); |

1251 | |

1252 | //Destroy the decomposition--free the memory. |

1253 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1254 | } |

1255 | else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0) |

1256 | { |

1257 | //In this case, the rational number specified is exactly the same in |

1258 | //magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp. |

1259 | printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n"); |

1260 | } |

1261 | else |

1262 | { |

1263 | //The number specified is beyond the corner point. It is appropriate to |

1264 | //provide the decomposition of the reciprocal rather than of the number |

1265 | //itself. |

1266 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num)); |

1267 | |

1268 | //Print out the continued fraction decomposition of the rational number. |

1269 | GMP_RALG_cfdecomp_emit(stdout, |

1270 | "CF Rep Of Reciprocal Of Abs Value Of Number Specified", |

1271 | &cf_decomp, |

1272 | 0, |

1273 | 1, |

1274 | &dap_denominator); |

1275 | |

1276 | //Destroy the decomposition--free the memory. |

1277 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1278 | } |

1279 | } //End if verbose. |

1280 | |

1281 | //Do all the work to get the neighbors of the number passed. |

1282 | GMP_RALG_consecutive_fab_terms( |

1283 | &(parblock->rn), |

1284 | &(parblock->kmax), |

1285 | (parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL), |

1286 | 1, |

1287 | 1, |

1288 | &neighbor_data); |

1289 | |

1290 | //Print the neighbor data block for debugging. |

1291 | #if 0 |

1292 | GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data); |

1293 | #endif |

1294 | |

1295 | //There are four possibilities at this point. |

1296 | // a)Attempting to find the rational neighbors generated an error. |

1297 | // b)The rational number specified was already in the series of interest, |

1298 | // in which case we will use it. |

1299 | // c)The left neighbor is closer or in a tie we want to choose it. |

1300 | // d)The right neighbor is closer or in a tie we want to choose it. |

1301 | if (neighbor_data.error) |

1302 | { |

1303 | // |

1304 | printf("Internal error: %s\n", neighbor_data.error); |

1305 | } |

1306 | else if (neighbor_data.equality) |

1307 | { |

1308 | CMAIN_print_app_in_std_form(stdout, |

1309 | 0, |

1310 | &(neighbor_data.rn_in), |

1311 | &(neighbor_data.rn_in), |

1312 | parblock->argblock.noformat, |

1313 | 0, |

1314 | 1, |

1315 | &dap_denominator); |

1316 | } |

1317 | else |

1318 | { |

1319 | GMP_RATS_mpq_struct left_neighbor, right_neighbor, |

1320 | left_diff, right_diff, |

1321 | left_abs, right_abs; |

1322 | int error_cmp; |

1323 | int mag_cmp; |

1324 | |

1325 | GMP_RATS_mpq_init(&left_neighbor); |

1326 | GMP_RATS_mpq_init(&right_neighbor); |

1327 | GMP_RATS_mpq_init(&left_diff); |

1328 | GMP_RATS_mpq_init(&right_diff); |

1329 | GMP_RATS_mpq_init(&left_abs); |

1330 | GMP_RATS_mpq_init(&right_abs); |

1331 | |

1332 | //Snatch the left neighbor. |

1333 | if (neighbor_data.n_left_out) |

1334 | { |

1335 | GMP_RATS_mpq_copy(&left_neighbor, &(neighbor_data.lefts[0].neighbor)); |

1336 | } |

1337 | |

1338 | //Snatch the right neighbor. |

1339 | if (neighbor_data.n_right_out) |

1340 | { |

1341 | GMP_RATS_mpq_copy(&right_neighbor, &(neighbor_data.rights[0].neighbor)); |

1342 | } |

1343 | |

1344 | //Calculate the differences, take their absolute |

1345 | //values. |

1346 | GMP_RATS_mpq_sub(&left_diff, &left_neighbor, &(neighbor_data.rn_in)); |

1347 | GMP_RATS_mpq_sub(&right_diff, &right_neighbor, &(neighbor_data.rn_in)); |

1348 | GMP_RATS_mpq_normalize(&left_diff); |

1349 | GMP_RATS_mpq_normalize(&right_diff); |

1350 | GMP_INTS_mpz_abs(&(left_diff.num)); |

1351 | GMP_INTS_mpz_abs(&(right_diff.num)); |

1352 | |

1353 | //Now that the differences are calculated, take the |

1354 | //absolute values of the neighbors themselves. |

1355 | //We will use this to break ties. |

1356 | GMP_RATS_mpq_normalize(&left_neighbor); |

1357 | GMP_RATS_mpq_normalize(&right_neighbor); |

1358 | GMP_INTS_mpz_abs(&(left_neighbor.num)); |

1359 | GMP_INTS_mpz_abs(&(right_neighbor.num)); |

1360 | |

1361 | //Compare the relative differences and magnitudes. |

1362 | error_cmp = GMP_RATS_mpq_cmp(&left_diff, &right_diff, NULL); |

1363 | mag_cmp = GMP_RATS_mpq_cmp(&left_neighbor, &right_neighbor, NULL); |

1364 | |

1365 | //Figure out which to present as the best approximation and |

1366 | //do it. |

1367 | if (!(parblock->neversmaller_specified) && |

1368 | ((parblock->neverlarger_specified) || (error_cmp < 0) || ((error_cmp == 0) && (mag_cmp < 0)))) |

1369 | { |

1370 | CMAIN_print_app_in_std_form(stdout, |

1371 | -1, |

1372 | &(neighbor_data.rn_in), |

1373 | &(neighbor_data.lefts[0].neighbor), |

1374 | parblock->argblock.noformat, |

1375 | 1, |

1376 | 1, |

1377 | &dap_denominator); |

1378 | } |

1379 | else |

1380 | { |

1381 | CMAIN_print_app_in_std_form(stdout, |

1382 | 1, |

1383 | &(neighbor_data.rn_in), |

1384 | &(neighbor_data.rights[0].neighbor), |

1385 | parblock->argblock.noformat, |

1386 | 1, |

1387 | 1, |

1388 | &dap_denominator); |

1389 | } |

1390 | |

1391 | //Deallocate. |

1392 | GMP_RATS_mpq_clear(&left_neighbor); |

1393 | GMP_RATS_mpq_clear(&right_neighbor); |

1394 | GMP_RATS_mpq_clear(&left_diff); |

1395 | GMP_RATS_mpq_clear(&right_diff); |

1396 | GMP_RATS_mpq_clear(&left_abs); |

1397 | GMP_RATS_mpq_clear(&right_abs); |

1398 | } |

1399 | |

1400 | //Deallocate all dynamic memory. |

1401 | GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data); |

1402 | GMP_RATS_mpq_clear(&hmax_over_one); |

1403 | GMP_RATS_mpq_clear(&hmax_over_kmax); |

1404 | GMP_INTS_mpz_clear(&dap_denominator); |

1405 | GMP_RATS_mpq_clear(&rn_in_abs); |

1406 | |

1407 | return(rv); |

1408 | } |

1409 | |

1410 | |

1411 | //Handles the case of finding multiple neighbors. |

1412 | |

1413 | static int CMAIN_multiple_neighbor(struct CfbrapabCmainStruct *parblock) |

1414 | { |

1415 | int rv = 0; |

1416 | GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs; |

1417 | GMP_INTS_mpz_struct dap_denominator; |

1418 | GMP_RALG_cf_app_struct cf_decomp; |

1419 | GMP_RALG_fab_neighbor_collection_struct neighbor_data; |

1420 | int error_flag; |

1421 | int i; |

1422 | |

1423 | //Allocate all dynamic memory. |

1424 | GMP_RATS_mpq_init(&hmax_over_one); |

1425 | GMP_RATS_mpq_init(&hmax_over_kmax); |

1426 | GMP_INTS_mpz_init(&dap_denominator); |

1427 | GMP_RATS_mpq_init(&rn_in_abs); |

1428 | |

1429 | //Set the DAP denominator to 1e108. |

1430 | GMP_INTS_mpz_set_general_int(&dap_denominator, |

1431 | &error_flag, |

1432 | "1e108"); |

1433 | |

1434 | //By convention, we will not mess with anything with an |

1435 | //absolute value greater than HMAX/1. If such a condition exists, puke out. |

1436 | //Form up the value of HMAX/1 if HMAX was specified. |

1437 | if (parblock->hmax_specified) |

1438 | { |

1439 | GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax)); |

1440 | GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1); |

1441 | GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn)); |

1442 | GMP_INTS_mpz_abs(&(rn_in_abs.num)); |

1443 | if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0) |

1444 | { |

1445 | printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n" |

1446 | "has no neighbors in the series of interest. Calculation cannot continue.\n"); |

1447 | exit(4); |

1448 | } |

1449 | } |

1450 | |

1451 | //If the "verbose" option is specified, we want to give the continued fraction |

1452 | //partial quotients and convergents of either the number to approximate, |

1453 | //its reciprocal, or none of the above, as appropriate; and give a bit more |

1454 | //information, in addition. |

1455 | if (parblock->argblock.verbose) |

1456 | { |

1457 | if (parblock->hmax_specified) |

1458 | { |

1459 | //Stuff HMAX/KMAX. This is necessary for comparison. |

1460 | GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax)); |

1461 | GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax)); |

1462 | } |

1463 | |

1464 | if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0)) |

1465 | { |

1466 | //Either HMAX was not specified or else we are below the corner point on the |

1467 | //integer lattice. Get the continued fraction representation of the number |

1468 | //rather than its reciprocal. |

1469 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den)); |

1470 | |

1471 | //Print out the continued fraction decomposition of the rational number. |

1472 | GMP_RALG_cfdecomp_emit(stdout, |

1473 | "CF Representation Of Absolute Value Of Rational Number Specified", |

1474 | &cf_decomp, |

1475 | 0, |

1476 | 1, |

1477 | &dap_denominator); |

1478 | |

1479 | //Destroy the decomposition--free the memory. |

1480 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1481 | } |

1482 | else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0) |

1483 | { |

1484 | //In this case, the rational number specified is exactly the same in |

1485 | //magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp. |

1486 | printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n"); |

1487 | } |

1488 | else |

1489 | { |

1490 | //The number specified is beyond the corner point. It is appropriate to |

1491 | //provide the decomposition of the reciprocal rather than of the number |

1492 | //itself. |

1493 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num)); |

1494 | |

1495 | //Print out the continued fraction decomposition of the rational number. |

1496 | GMP_RALG_cfdecomp_emit(stdout, |

1497 | "CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified", |

1498 | &cf_decomp, |

1499 | 0, |

1500 | 1, |

1501 | &dap_denominator); |

1502 | |

1503 | //Destroy the decomposition--free the memory. |

1504 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1505 | } |

1506 | } //End if verbose. |

1507 | |

1508 | //Do all the work to get the neighbors of the number passed. |

1509 | GMP_RALG_consecutive_fab_terms( |

1510 | &(parblock->rn), |

1511 | &(parblock->kmax), |

1512 | (parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL), |

1513 | parblock->n, |

1514 | parblock->n, |

1515 | &neighbor_data); |

1516 | |

1517 | //Print the neighbor data block for debugging. |

1518 | #if 0 |

1519 | GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data); |

1520 | #endif |

1521 | |

1522 | //Loop through, printing out the left neighbors in order. |

1523 | for (i = neighbor_data.n_left_out - 1; i >= 0; i--) |

1524 | { |

1525 | CMAIN_print_app_in_std_form(stdout, |

1526 | -(i + 1), |

1527 | &(neighbor_data.rn_in), |

1528 | &(neighbor_data.lefts[i].neighbor), |

1529 | parblock->argblock.noformat, |

1530 | 1, |

1531 | 1, |

1532 | &dap_denominator); |

1533 | } |

1534 | |

1535 | //If the number itself appears in the series of interest, spit that out. |

1536 | if (neighbor_data.equality) |

1537 | { |

1538 | CMAIN_print_app_in_std_form(stdout, |

1539 | 0, |

1540 | &(neighbor_data.rn_in), |

1541 | &(neighbor_data.norm_rn), |

1542 | parblock->argblock.noformat, |

1543 | 1, |

1544 | 1, |

1545 | &dap_denominator); |

1546 | } |

1547 | |

1548 | //Loop through, printing out the right neighbors in order. |

1549 | for (i = 0; i < neighbor_data.n_right_out; i++) |

1550 | { |

1551 | CMAIN_print_app_in_std_form(stdout, |

1552 | i+1, |

1553 | &(neighbor_data.rn_in), |

1554 | &(neighbor_data.rights[i].neighbor), |

1555 | parblock->argblock.noformat, |

1556 | 1, |

1557 | 1, |

1558 | &dap_denominator); |

1559 | } |

1560 | |

1561 | //Deallocate all dynamic memory. |

1562 | GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data); |

1563 | GMP_RATS_mpq_clear(&hmax_over_one); |

1564 | GMP_RATS_mpq_clear(&hmax_over_kmax); |

1565 | GMP_INTS_mpz_clear(&dap_denominator); |

1566 | GMP_RATS_mpq_clear(&rn_in_abs); |

1567 | |

1568 | return(rv); |

1569 | } |

1570 | |

1571 | |

1572 | //Handles the case of finding the predecessor. |

1573 | int CMAIN_predecessor(struct CfbrapabCmainStruct *parblock) |

1574 | { |

1575 | int rv = 0; |

1576 | GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs; |

1577 | GMP_INTS_mpz_struct dap_denominator; |

1578 | GMP_RALG_cf_app_struct cf_decomp; |

1579 | GMP_RALG_fab_neighbor_collection_struct neighbor_data; |

1580 | int error_flag; |

1581 | |

1582 | //Allocate all dynamic memory. |

1583 | GMP_RATS_mpq_init(&hmax_over_one); |

1584 | GMP_RATS_mpq_init(&hmax_over_kmax); |

1585 | GMP_INTS_mpz_init(&dap_denominator); |

1586 | GMP_RATS_mpq_init(&rn_in_abs); |

1587 | |

1588 | //Set the DAP denominator to 1e108. |

1589 | GMP_INTS_mpz_set_general_int(&dap_denominator, |

1590 | &error_flag, |

1591 | "1e108"); |

1592 | |

1593 | //By convention, we will not mess with anything with an |

1594 | //absolute value greater than HMAX/1. If such a condition exists, puke out. |

1595 | //Form up the value of HMAX/1 if HMAX was specified. |

1596 | if (parblock->hmax_specified) |

1597 | { |

1598 | GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax)); |

1599 | GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1); |

1600 | GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn)); |

1601 | GMP_INTS_mpz_abs(&(rn_in_abs.num)); |

1602 | if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0) |

1603 | { |

1604 | printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n" |

1605 | "has no neighbors in the series of interest. Calculation cannot continue.\n"); |

1606 | exit(4); |

1607 | } |

1608 | } |

1609 | |

1610 | //If the "verbose" option is specified, we want to give the continued fraction |

1611 | //partial quotients and convergents of either the number to approximate, |

1612 | //its reciprocal, or none of the above, as appropriate; and give a bit more |

1613 | //information, in addition. |

1614 | if (parblock->argblock.verbose) |

1615 | { |

1616 | if (parblock->hmax_specified) |

1617 | { |

1618 | //Stuff HMAX/KMAX. This is necessary for comparison. |

1619 | GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax)); |

1620 | GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax)); |

1621 | } |

1622 | |

1623 | if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0)) |

1624 | { |

1625 | //Either HMAX was not specified or else we are below the corner point on the |

1626 | //integer lattice. Get the continued fraction representation of the number |

1627 | //rather than its reciprocal. |

1628 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den)); |

1629 | |

1630 | //Print out the continued fraction decomposition of the rational number. |

1631 | GMP_RALG_cfdecomp_emit(stdout, |

1632 | "CF Representation Of Absolute Value Of Rational Number Specified", |

1633 | &cf_decomp, |

1634 | 0, |

1635 | 1, |

1636 | &dap_denominator); |

1637 | |

1638 | //Destroy the decomposition--free the memory. |

1639 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1640 | } |

1641 | else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0) |

1642 | { |

1643 | //In this case, the rational number specified is exactly the same in |

1644 | //magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp. |

1645 | printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n"); |

1646 | } |

1647 | else |

1648 | { |

1649 | //The number specified is beyond the corner point. It is appropriate to |

1650 | //provide the decomposition of the reciprocal rather than of the number |

1651 | //itself. |

1652 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num)); |

1653 | |

1654 | //Print out the continued fraction decomposition of the rational number. |

1655 | GMP_RALG_cfdecomp_emit(stdout, |

1656 | "CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified", |

1657 | &cf_decomp, |

1658 | 0, |

1659 | 1, |

1660 | &dap_denominator); |

1661 | |

1662 | //Destroy the decomposition--free the memory. |

1663 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1664 | } |

1665 | } //End if verbose. |

1666 | |

1667 | //Do all the work to get the neighbors of the number passed. |

1668 | GMP_RALG_consecutive_fab_terms( |

1669 | &(parblock->rn), |

1670 | &(parblock->kmax), |

1671 | (parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL), |

1672 | 1, |

1673 | 0, |

1674 | &neighbor_data); |

1675 | |

1676 | //Print the neighbor data block for debugging. |

1677 | #if 0 |

1678 | GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data); |

1679 | #endif |

1680 | |

1681 | //Print the neighbor on the left, if it exists. |

1682 | if (neighbor_data.n_left_out) |

1683 | { |

1684 | CMAIN_print_app_in_std_form(stdout, |

1685 | -1, |

1686 | &(neighbor_data.rn_in), |

1687 | &(neighbor_data.lefts[0].neighbor), |

1688 | parblock->argblock.noformat, |

1689 | 0, |

1690 | 0, |

1691 | &dap_denominator); |

1692 | } |

1693 | |

1694 | //Deallocate all dynamic memory. |

1695 | GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data); |

1696 | GMP_RATS_mpq_clear(&hmax_over_one); |

1697 | GMP_RATS_mpq_clear(&hmax_over_kmax); |

1698 | GMP_INTS_mpz_clear(&dap_denominator); |

1699 | GMP_RATS_mpq_clear(&rn_in_abs); |

1700 | |

1701 | return(rv); |

1702 | } |

1703 | |

1704 | |

1705 | //Handles the case of finding the successor. |

1706 | int CMAIN_successor(struct CfbrapabCmainStruct *parblock) |

1707 | { |

1708 | int rv = 0; |

1709 | GMP_RATS_mpq_struct hmax_over_one, hmax_over_kmax, rn_in_abs; |

1710 | GMP_INTS_mpz_struct dap_denominator; |

1711 | GMP_RALG_cf_app_struct cf_decomp; |

1712 | GMP_RALG_fab_neighbor_collection_struct neighbor_data; |

1713 | int error_flag; |

1714 | |

1715 | //Allocate all dynamic memory. |

1716 | GMP_RATS_mpq_init(&hmax_over_one); |

1717 | GMP_RATS_mpq_init(&hmax_over_kmax); |

1718 | GMP_INTS_mpz_init(&dap_denominator); |

1719 | GMP_RATS_mpq_init(&rn_in_abs); |

1720 | |

1721 | //Set the DAP denominator to 1e108. |

1722 | GMP_INTS_mpz_set_general_int(&dap_denominator, |

1723 | &error_flag, |

1724 | "1e108"); |

1725 | |

1726 | //By convention, we will not mess with anything with an |

1727 | //absolute value greater than HMAX/1. If such a condition exists, puke out. |

1728 | //Form up the value of HMAX/1 if HMAX was specified. |

1729 | if (parblock->hmax_specified) |

1730 | { |

1731 | GMP_INTS_mpz_copy(&(hmax_over_one.num), &(parblock->hmax)); |

1732 | GMP_INTS_mpz_set_ui(&(hmax_over_one.den), 1); |

1733 | GMP_RATS_mpq_copy(&rn_in_abs, &(parblock->rn)); |

1734 | GMP_INTS_mpz_abs(&(rn_in_abs.num)); |

1735 | if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_one, NULL) > 0) |

1736 | { |

1737 | printf("The magnitude of the number supplied exceeds HMAX/1, and hence the number\n" |

1738 | "has no neighbors in the series of interest. Calculation cannot continue.\n"); |

1739 | exit(4); |

1740 | } |

1741 | } |

1742 | |

1743 | //If the "verbose" option is specified, we want to give the continued fraction |

1744 | //partial quotients and convergents of either the number to approximate, |

1745 | //its reciprocal, or none of the above, as appropriate; and give a bit more |

1746 | //information, in addition. |

1747 | if (parblock->argblock.verbose) |

1748 | { |

1749 | if (parblock->hmax_specified) |

1750 | { |

1751 | //Stuff HMAX/KMAX. This is necessary for comparison. |

1752 | GMP_INTS_mpz_copy(&(hmax_over_kmax.num), &(parblock->hmax)); |

1753 | GMP_INTS_mpz_copy(&(hmax_over_kmax.den), &(parblock->kmax)); |

1754 | } |

1755 | |

1756 | if (!(parblock->hmax_specified) || (GMP_RATS_mpq_cmp(&(parblock->rn), &hmax_over_kmax, NULL) < 0)) |

1757 | { |

1758 | //Either HMAX was not specified or else we are below the corner point on the |

1759 | //integer lattice. Get the continued fraction representation of the number |

1760 | //rather than its reciprocal. |

1761 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.num), &(rn_in_abs.den)); |

1762 | |

1763 | //Print out the continued fraction decomposition of the rational number. |

1764 | GMP_RALG_cfdecomp_emit(stdout, |

1765 | "CF Representation Of Absolute Value Of Rational Number Specified", |

1766 | &cf_decomp, |

1767 | 0, |

1768 | 1, |

1769 | &dap_denominator); |

1770 | |

1771 | //Destroy the decomposition--free the memory. |

1772 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1773 | } |

1774 | else if (GMP_RATS_mpq_cmp(&(rn_in_abs), &hmax_over_kmax, NULL) == 0) |

1775 | { |

1776 | //In this case, the rational number specified is exactly the same in |

1777 | //magnitude as HMAX/KMAX. I am inclined to suppress the CF decomp. |

1778 | printf("Rational number specified is HMAX/KMAX. CF decomp not provided.\n"); |

1779 | } |

1780 | else |

1781 | { |

1782 | //The number specified is beyond the corner point. It is appropriate to |

1783 | //provide the decomposition of the reciprocal rather than of the number |

1784 | //itself. |

1785 | GMP_RALG_cfdecomp_init(&cf_decomp, &error_flag, &(rn_in_abs.den), &(rn_in_abs.num)); |

1786 | |

1787 | //Print out the continued fraction decomposition of the rational number. |

1788 | GMP_RALG_cfdecomp_emit(stdout, |

1789 | "CF Representation Of Reciprocal Of Absolute Value Of Rational Number Specified", |

1790 | &cf_decomp, |

1791 | 0, |

1792 | 1, |

1793 | &dap_denominator); |

1794 | |

1795 | //Destroy the decomposition--free the memory. |

1796 | GMP_RALG_cfdecomp_destroy(&cf_decomp); |

1797 | } |

1798 | } //End if verbose. |

1799 | |

1800 | //Do all the work to get the neighbors of the number passed. |

1801 | GMP_RALG_consecutive_fab_terms( |

1802 | &(parblock->rn), |

1803 | &(parblock->kmax), |

1804 | (parblock->hmax_specified) ? (&(parblock->hmax)) : (NULL), |

1805 | 0, |

1806 | 1, |

1807 | &neighbor_data); |

1808 | |

1809 | //Print the neighbor data block for debugging. |

1810 | #if 0 |

1811 | GMP_RALG_consecutive_fab_terms_result_dump(stdout, &neighbor_data); |

1812 | #endif |

1813 | |

1814 | //Print the neighbor on the right, if it exists. |

1815 | if (neighbor_data.n_right_out) |

1816 | { |

1817 | CMAIN_print_app_in_std_form(stdout, |

1818 | -1, |

1819 | &(neighbor_data.rn_in), |

1820 | &(neighbor_data.rights[0].neighbor), |

1821 | parblock->argblock.noformat, |

1822 | 0, |

1823 | 0, |

1824 | &dap_denominator); |

1825 | } |

1826 | |

1827 | //Deallocate all dynamic memory. |

1828 | GMP_RALG_consecutive_fab_terms_result_free(&neighbor_data); |

1829 | GMP_RATS_mpq_clear(&hmax_over_one); |

1830 | GMP_RATS_mpq_clear(&hmax_over_kmax); |

1831 | GMP_INTS_mpz_clear(&dap_denominator); |

1832 | GMP_RATS_mpq_clear(&rn_in_abs); |

1833 | |

1834 | return(rv); |

1835 | } |

1836 | |

1837 | |

1838 | int c_main(int argc, char* argv[]) |

1839 | { |

1840 | int rv=0; |

1841 | struct CfbrapabCmainStruct parblock; |

1842 | |

1843 | if (argc==2 && !strcmp(argv[1], "-help")) |

1844 | { |

1845 | FCMIOF_hline(); |

1846 | printf("DESCRIPTION\n"); |

1847 | printf(" This utility calculates best rational approximations of the form h/k\n"); |

1848 | printf(" under the constraint k <= KMAX (i.e. in the Farey series of order KMAX),\n"); |

1849 | printf(" or under the constraints k <= KMAX and h <= HMAX (i.e. in a rectangular\n"); |

1850 | printf(" region of the integer lattice). This utility uses continued fraction\n"); |

1851 | printf(" algorithms presented in the accompanying book \"A Practitioner's Guide\n"); |

1852 | printf(" ...\", and this book (a work in progress) should be consulted both as a\n"); |

1853 | printf(" reference to the algorithms and a reference for this utility. All\n"); |

1854 | printf(" rational numbers calculated are in lowest terms. This utility will\n"); |

1855 | printf(" operate on negative numbers, but all results are produced by symmetry\n"); |

1856 | printf(" (the continued fraction representation of negative numbers is NOT\n"); |

1857 | printf(" calculated). The default operation of this utility is to calculated the\n"); |

1858 | printf(" closest rational number in the series of interest. If the rational\n"); |

1859 | printf(" number supplied is equidistant between two formable rational numbers in\n"); |

1860 | printf(" the series of interest, the neighbor smaller in magnitude is returned. If\n"); |

1861 | printf(" the rational number supplied is already formable, it is returned in lowest\n"); |

1862 | printf(" terms. If the rational number supplied does not have neighbors (i.e. it\n"); |

1863 | printf(" is larger than HMAX/1), an error is generated.\n"); |

1864 | printf("\n"); |

1865 | printf("USAGE\n"); |

1866 | printf(" cfbrapab srn urn_kmax [options]\n"); |

1867 | printf(" cfbrapab srn urn_kmax urn_hmax [options]\n"); |

1868 | printf(" cfbrapab -help\n"); |

1869 | printf("\n"); |

1870 | printf("OPTIONS\n"); |

1871 | printf(" -neversmaller, -neverlarger\n"); |

1872 | printf(" The -neversmaller option will prohibit this utility from choosing a\n"); |

1873 | printf(" rational approximation which is smaller than the rational number\n"); |

1874 | printf(" supplied. Thus, this option will force the utility to choose the right\n"); |

1875 | printf(" neighbor rather than the left, regardless of relative distance. The\n"); |

1876 | printf(" behavior if the rational number supplied is formable under the \n"); |

1877 | printf(" constraints is unchanged. The -neverlarger option is analogous.\n"); |

1878 | printf(" These options cannot be used with -n, -pred, or -succ.\n"); |

1879 | printf(" -pred, -succ\n"); |

1880 | printf(" Will cause the utility to find the predecessor or successor in the\n"); |

1881 | printf(" series of interest to the rational number supplied (in the event the\n"); |

1882 | printf(" number supplied is already formable under the constraints). For\n"); |

1883 | printf(" numbers not already formable under the constraints, the left or right\n"); |

1884 | printf(" formable neighbor will be returned. Supplying a rational number that\n"); |

1885 | printf(" does not have a predecessor or successor (i.e. < 0/1 or > HMAX/1) will\n"); |

1886 | printf(" generate an error. These options cannot be used with -neversmaller,\n"); |

1887 | printf(" -neverlarger, or -n.\n"); |

1888 | CU_MSGS_std_options(stdout, PNAME); |

1889 | FCMIOF_hline(); |

1890 | CU_MSGS_toolset_info_msg(stdout, PNAME); |

1891 | FCMIOF_hline(); |

1892 | } |

1893 | else if (argc < 3) |

1894 | { |

1895 | CU_MSGS_too_few_args_msg(stdout, PNAME); |

1896 | rv = 4; |

1897 | goto ret_pt; |

1898 | } |

1899 | else |

1900 | { |

1901 | //In this branch, we must have an invocation of the form |

1902 | // cfbrapab SRN KMAX <options> |

1903 | //or |

1904 | // cfbrapab SRN KMAX HMAX <options> |

1905 | // |

1906 | //Call the function to collect all the command-line parameters. |

1907 | //This function takes care of error processing, as well. If there |

1908 | //is an error of any kind, the function will simply abort and |

1909 | //supply the right return error code of 4. |

1910 | process_command_line_args(&parblock, |

1911 | argc, |

1912 | argv); |

1913 | |

1914 | //If the debug option was set, emit the debugging information. |

1915 | if (parblock.argblock.debug) |

1916 | { |

1917 | FCMIOF_hline(); |

1918 | CU_MSGS_emit_vcinfo_from_ptr_table(stdout,C_MAIN_vcinfoptrs,PNAMEUC); |

1919 | } |

1920 | |

1921 | //Emit the opening horizontal line iff the -nf option isn't set. |

1922 | if (!(parblock.argblock.noformat)) |

1923 | FCMIOF_hline(); |

1924 | |

1925 | //Print out a major mode message to indicate what we are trying to do. |

1926 | if (!(parblock.argblock.noformat)) |

1927 | { |

1928 | if (!parblock.neversmaller_specified && !parblock.neverlarger_specified && !parblock.pred_specified && !parblock.succ_specified) |

1929 | { |

1930 | printf("MAJOR MODE: Finding closest rational number(s) under the constraints.\n"); |

1931 | } |

1932 | else if (parblock.neversmaller_specified) |

1933 | { |

1934 | printf("MAJOR MODE: Finding closest rational number with magnitude not smaller under\n the constraints.\n"); |

1935 | } |

1936 | else if (parblock.neverlarger_specified) |

1937 | { |

1938 | printf("MAJOR MODE: Finding closest rational number with magnitude not larger under\n the constraints.\n"); |

1939 | } |

1940 | else if (parblock.pred_specified) |

1941 | { |

1942 | printf("MAJOR MODE: Finding predecessor under the constraints.\n"); |

1943 | } |

1944 | else if (parblock.succ_specified) |

1945 | { |

1946 | printf("MAJOR MODE: Finding successor under the constraints.\n"); |

1947 | } |

1948 | else |

1949 | { |

1950 | assert(0); |

1951 | } |

1952 | |

1953 | FCMIOF_hline(); |

1954 | } |

1955 | |

1956 | //Echo back the command-line parameters. |

1957 | if (!(parblock.argblock.noformat)) |

1958 | { |

1959 | GMP_INTS_mpz_long_int_format_to_stream(stdout, |

1960 | &(parblock.rn.num), |

1961 | "RI_IN Numerator"); |

1962 | FCMIOF_hline(); |

1963 | GMP_INTS_mpz_long_int_format_to_stream(stdout, |

1964 | &(parblock.rn.den), |

1965 | "RI_IN Denominator"); |

1966 | FCMIOF_hline(); |

1967 | |

1968 | GMP_INTS_mpz_long_int_format_to_stream(stdout, |

1969 | &(parblock.kmax), |

1970 | "K_MAX"); |

1971 | FCMIOF_hline(); |

1972 | |

1973 | if (parblock.hmax_specified) |

1974 | { |

1975 | GMP_INTS_mpz_long_int_format_to_stream(stdout, |

1976 | &(parblock.hmax), |

1977 | "H_MAX"); |

1978 | FCMIOF_hline(); |

1979 | } |

1980 | |

1981 | if (parblock.n_specified) |

1982 | { |

1983 | GMP_INTS_mpz_struct temp24; |

1984 | |

1985 | GMP_INTS_mpz_init(&temp24); |

1986 | |

1987 | GMP_INTS_mpz_set_ui(&temp24, parblock.n); |

1988 | |

1989 | GMP_INTS_mpz_long_int_format_to_stream(stdout, |

1990 | &temp24, |

1991 | "Number Of Neighbors"); |

1992 | |

1993 | FCMIOF_hline(); |

1994 | |

1995 | GMP_INTS_mpz_clear(&temp24); |

1996 | } |

1997 | } |

1998 | |

1999 | //We need to split now into distinct cases |

2000 | //depending on the command-line parameters. We will |

2001 | //then hack out solutions for each case. |

2002 | if (!parblock.pred_specified && !parblock.succ_specified && !parblock.n_specified) |

2003 | { |

2004 | //Classic closest neighbor case. |

2005 | rv = CMAIN_classic_closest_neighbor(&parblock); |

2006 | } |

2007 | else if (parblock.n_specified) |

2008 | { |

2009 | //Classic multiple neighbor case. |

2010 | rv = CMAIN_multiple_neighbor(&parblock); |

2011 | } |

2012 | else if (parblock.pred_specified) |

2013 | { |

2014 | rv = CMAIN_predecessor(&parblock); |

2015 | } |

2016 | else if (parblock.succ_specified) |

2017 | { |

2018 | rv = CMAIN_successor(&parblock); |

2019 | } |

2020 | else |

2021 | { |

2022 | assert(0); |

2023 | } |

2024 | |

2025 | //Emit the closing horizontal line iff the -nf option isn't set. |

2026 | //if (!(parblock.argblock.noformat)) |

2027 | // FCMIOF_hline(); |

2028 | |

2029 | //Release all dynamic memory. |

2030 | release_command_line_args(&parblock); |

2031 | } |

2032 | |

2033 | ret_pt: |

2034 | return(rv); |

2035 | } |

2036 | |

2037 | |

2038 | //************************************************************************** |

2039 | // $Log: c_main.c,v $ |

2040 | // Revision 1.6 2002/01/27 17:58:15 dtashley |

2041 | // CRC32, other programs modified to work under new directory structure. |

2042 | // |

2043 | // Revision 1.5 2001/08/16 19:49:36 dtashley |

2044 | // Beginning to prepare for v1.05 release. |

2045 | // |

2046 | // Revision 1.4 2001/08/15 06:55:59 dtashley |

2047 | // Substantial progress. Safety check-in. |

2048 | // |

2049 | // Revision 1.3 2001/08/12 10:20:58 dtashley |

2050 | // Safety check-in. Substantial progress. |

2051 | // |

2052 | // Revision 1.2 2001/07/26 03:53:17 dtashley |

2053 | // Utilities that are under constructions stubbed to announce this, |

2054 | // batch build file enhanced. |

2055 | // |

2056 | // Revision 1.1 2001/07/23 08:53:17 dtashley |

2057 | // Initial check-in. |

2058 | // |

2059 | //************************************************************************** |

2060 | // End of C_MAIN.C. |

dashley@gmail.com | ViewVC Help |

Powered by ViewVC 1.1.25 |