/[dtapublic]/projs/trunk/shared_source/c_datd/gmp_rats.c
ViewVC logotype

Contents of /projs/trunk/shared_source/c_datd/gmp_rats.c

Parent Directory Parent Directory | Revision Log Revision Log


Revision 29 - (show annotations) (download)
Sat Oct 8 07:08:47 2016 UTC (8 years, 2 months ago) by dashley
Original Path: to_be_filed/sf_code/esrgpcpj/shared/c_datd/gmp_rats.c
File MIME type: text/plain
File size: 70698 byte(s)
Directories relocated.
1 // $Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_rats.c,v 1.10 2001/08/16 19:49:40 dtashley Exp $
2
3 //--------------------------------------------------------------------------------
4 //Copyright 2001 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 #define MODULE_GMP_RATS
686
687 #include <assert.h>
688 #include <stdio.h>
689 #include <string.h>
690
691 #include "bstrfunc.h"
692 #include "charfunc.h"
693 #include "gmp_ints.h"
694 #include "gmp_rats.h"
695
696 #if defined(APP_TYPE_SIMPLE_DOS_CONSOLE)
697 #include "ccmalloc.h"
698 #elif defined(APP_TYPE_IJUSCRIPTER_IJUCONSOLE)
699 #include "tclalloc.h"
700 #else
701 #include <malloc.h>
702 #endif
703
704
705 /******************************************************************/
706 /*** STATUS FUNCTIONS *******************************************/
707 /******************************************************************/
708 //Functions in this category provide information about rational
709 //numbers.
710 //08/08/01: Visual inspection OK.
711 int GMP_RATS_mpq_is_nan(const GMP_RATS_mpq_struct *rn)
712 {
713 assert(rn != NULL);
714
715 //A rational number is NAN in one of two
716 //circumstances. If either of the integer components
717 //is NAN, or else if there is a zero denominator.
718 if (GMP_INTS_mpz_get_flags(&(rn->num)) || GMP_INTS_mpz_get_flags(&(rn->den)))
719 {
720 return(1);
721 }
722 if (GMP_INTS_mpz_is_zero(&(rn->den)))
723 {
724 return(1);
725 }
726
727 //We're clean ...
728 return(0);
729 }
730
731
732 /******************************************************************/
733 /*** INITIALIZATION, CLEARING, AND SETTING FUNCTIONS ************/
734 /******************************************************************/
735 //08/07/01: Visual inspection OK.
736 void GMP_RATS_mpq_init(GMP_RATS_mpq_struct *arg)
737 {
738 //Eyeball the input parameter.
739 assert(arg != NULL);
740
741 //Initialize the numerator and denominator.
742 GMP_INTS_mpz_init(&(arg->num));
743 GMP_INTS_mpz_init(&(arg->den));
744
745 //Canonically, we must start off as 0/1--canonical zero.
746 GMP_INTS_mpz_set_ui(&(arg->num), 0);
747 GMP_INTS_mpz_set_ui(&(arg->den), 1);
748 }
749
750
751 //08/07/01: Visual inspection OK.
752 void GMP_RATS_mpq_clear(GMP_RATS_mpq_struct *arg)
753 {
754 //Eyeball the input parameter.
755 assert(arg != NULL);
756
757 //Clear the numerator and denominator. The called functions
758 //will check for NULL pointers and so forth.
759 GMP_INTS_mpz_clear(&(arg->num));
760 GMP_INTS_mpz_clear(&(arg->den));
761 }
762
763
764 //08/07/01: Visual inspection OK.
765 void GMP_RATS_mpq_set_si(GMP_RATS_mpq_struct *arg,
766 int num,
767 int den)
768 {
769 //Eyeball the input parameters.
770 assert(arg != NULL);
771
772 //Set the numerator and denominator.
773 GMP_INTS_mpz_set_si(&(arg->num), num);
774 GMP_INTS_mpz_set_si(&(arg->den), den);
775 }
776
777
778 //08/08/01: Visual inspection OK.
779 void GMP_RATS_mpq_copy( GMP_RATS_mpq_struct *dst,
780 const GMP_RATS_mpq_struct *src)
781 {
782 assert(dst != NULL);
783 assert(src != NULL);
784
785 GMP_INTS_mpz_copy(&(dst->num), &(src->num));
786 GMP_INTS_mpz_copy(&(dst->den), &(src->den));
787 }
788
789
790 //08/13/01: Visual inspection OK.
791 void GMP_RATS_mpq_swap( GMP_RATS_mpq_struct *a,
792 GMP_RATS_mpq_struct *b)
793 {
794 assert(a != NULL);
795 assert(b != NULL);
796
797 //Handle the swap by swapping integer components.
798 GMP_INTS_mpz_swap(&(a->num), &(b->num));
799 GMP_INTS_mpz_swap(&(a->den), &(b->den));
800 }
801
802
803 //08/13/01: Visual inspection OK.
804 void GMP_RATS_mpq_swap_components(GMP_RATS_mpq_struct *arg)
805 {
806 assert(arg != NULL);
807
808 GMP_INTS_mpz_swap(&(arg->num), &(arg->den));
809 }
810
811
812 //08/07/01: Visual inspection OK.
813 void GMP_RATS_mpq_set_complex_slash_sepd_rat_num(const char *s,
814 int *failure,
815 GMP_RATS_mpq_struct *rn)
816 {
817 char *slash_posn, *numerator, *denominator;
818 int s_len, numerator_len, denominator_len;
819 int i;
820
821 //Eyeball the input parameters.
822 assert(s != NULL);
823 assert(failure != NULL);
824 assert(rn != NULL);
825
826 //Start off believing there is no failure.
827 *failure = 0;
828
829 //Figure out if there is one and only one slash in the
830 //string. If this condition isn't met, we cannot
831 //go further.
832 slash_posn = strchr(s, '/');
833 if (!slash_posn)
834 {
835 *failure = 1;
836 return;
837 }
838 if (strchr(slash_posn + 1, '/')) //There is a second occurence.
839 {
840 *failure = 1;
841 return;
842 }
843
844 //At this point we have one and only one slash.
845 //Crack the string in two. We must do this because the
846 //input is a constant string. We are not allowed to touch it
847 //in the logical domain because of the "const" keyword. We can't
848 //do this in the physical domain because the debugger will nail
849 //us for it.
850 s_len = strlen(s);
851 numerator_len = slash_posn - s;
852 denominator_len = strlen(slash_posn + 1);
853 #if defined(APP_TYPE_SIMPLE_DOS_CONSOLE)
854 numerator = CCMALLOC_malloc(sizeof(char) * (numerator_len + 1));
855 denominator = CCMALLOC_malloc(sizeof(char) * (denominator_len + 1));
856 #elif defined(APP_TYPE_IJUSCRIPTER_IJUCONSOLE)
857 numerator = TclpAlloc(sizeof(char) * (numerator_len + 1));
858 denominator = TclpAlloc(sizeof(char) * (denominator_len + 1));
859 #else
860 numerator = malloc(sizeof(char) * (numerator_len + 1));
861 denominator = malloc(sizeof(char) * (denominator_len + 1));
862 #endif
863
864 assert(numerator != NULL);
865 assert(denominator != NULL);
866
867 for (i=0; i<numerator_len; i++)
868 {
869 numerator[i] = s[i];
870 }
871 numerator[numerator_len] = 0;
872
873 for (i=0; i<denominator_len; i++)
874 {
875 denominator[i] = s[slash_posn - s + 1 + i];
876 }
877 denominator[denominator_len] = 0;
878
879 //Try to parse out the numerator as an arbitrary integer.
880 //If this can't be done, it is an immediate failure.
881 GMP_INTS_mpz_set_general_int(&(rn->num),
882 failure,
883 numerator);
884 if (*failure)
885 {
886 *failure = 1; //Clamp to 1, don't know what non-zero value
887 //was there.
888 goto ret_pt;
889 }
890
891 //Try to parse out the denominator.
892 GMP_INTS_mpz_set_general_int(&(rn->den),
893 failure,
894 denominator);
895 if (*failure)
896 {
897 *failure = 1; //Clamp to 1, don't know what non-zero value
898 //was there.
899 goto ret_pt;
900 }
901
902 //At this point, we have both a numerator and denominator.
903 //Clean up and return.
904 ret_pt:
905 #if defined(APP_TYPE_SIMPLE_DOS_CONSOLE)
906 CCMALLOC_free(numerator);
907 CCMALLOC_free(denominator);
908 #elif defined(APP_TYPE_IJUSCRIPTER_IJUCONSOLE)
909 TclpFree(numerator);
910 TclpFree(denominator);
911 #else
912 free(numerator);
913 free(denominator);
914 #endif
915 }
916
917
918 //08/07/01: Visual inspection OK.
919 void GMP_RATS_mpq_set_sci_not_rat_num(const char *s,
920 int *failure,
921 GMP_RATS_mpq_struct *rn)
922 {
923 int parse_failure;
924 //Return code from the floating point parsing
925 //function.
926 char mant_sign;
927 //Sign character, if any, from the mantissa,
928 //or N otherwise.
929 size_t mant_bdp;
930 //The index to the start of the mantissa before
931 //the decimal point.
932 size_t mant_bdp_len;
933 //The length of the mantissa before the decimal
934 //point. Zero means not defined, i.e. that
935 //no characters were parsed and interpreted as
936 //that part of a floating point number.
937 size_t mant_adp;
938 size_t mant_adp_len;
939 //Similar fields for after the decimal point.
940 char exp_sign;
941 //Sign of the exponent, if any, or N otherwise.
942 size_t exp;
943 size_t exp_len;
944 //Similar fields as to the mantissa, but for the
945 //exponent.
946 size_t si;
947 //Iteration variable.
948 int exponent_val;
949 //The value of the exponent. We can't accept
950 //an exponent outside the range of a 24-bit
951 //signed integer. The 24-bit limit is arbitrary.
952 //For one thing, it gives room to detect overflow
953 //as are adding and multiplying by 10.
954
955 //Eyeball the input parameters.
956 assert(s != NULL);
957 assert(failure != NULL);
958 assert(rn != NULL);
959 //Subcomponents of the rational number will be checked as
960 //we make integer calls, if we're in debug mode.
961
962 //Start off believing no failure.
963 *failure = 0;
964
965 //Set the output to 0/1. This is the default case for some
966 //steps below.
967 GMP_RATS_mpq_set_si(rn, 0, 1);
968
969 //Attempt to parse the number as a general number
970 //in scientific notation.
971 BSTRFUNC_parse_gen_sci_not_num(s,
972 &parse_failure,
973 &mant_sign,
974 &mant_bdp,
975 &mant_bdp_len,
976 &mant_adp,
977 &mant_adp_len,
978 &exp_sign,
979 &exp,
980 &exp_len);
981
982 //If it wouldn't parse as a general number, can't go further.
983 if (parse_failure)
984 {
985 *failure = 1;
986 return;
987 }
988 else
989 {
990 //The number parsed out. The general strategy is to form a rational number
991 //consisting of the mantissa, with the decimal point shifted fully right, over
992 //a denominator of 1. From there, we process the exponent and combine it with
993 //the number of characters after the decimal point to form a virtual exponent.
994 //If the exponent is positive, we multiply the numerator by the power of 10.
995 //If the exponent is negative, we multiply the denominator by that power of 10.
996
997 //We want to trim the trailing zeros off of the portion of the mantissa after the
998 //decimal point. We only need to back up indices, no need to make copies, etc.
999 //Note that it is possible that there are only zeros, in which case we'll end
1000 //up with a length of zero.
1001 while ((mant_adp_len > 0) && (s[mant_adp + mant_adp_len - 1]=='0'))
1002 mant_adp_len--;
1003
1004 //Trim the leading zeros off of the portion of the mantissa before the
1005 //decimal point. Note that it is possible that there is only a zero,
1006 //so we may trim it down to nothing.
1007 while ((mant_bdp_len > 0) && (s[mant_bdp]=='0'))
1008 {
1009 mant_bdp++;
1010 mant_bdp_len--;
1011 }
1012
1013 //If we have only zeros in the mantissa, both before the
1014 //decimal point and after, then we return 0.
1015 if ((mant_bdp_len + mant_adp_len) == 0)
1016 {
1017 *failure = 0;
1018 return;
1019 }
1020
1021 //Convert the numerator to an integer which represents the
1022 //part before the mantissa and the part after the mantissa
1023 //concatenated as an integer. We could call a function to do
1024 //this, but the function is not really any better in algorithm.
1025 //We can do it ourselves.
1026 GMP_INTS_mpz_set_ui(&(rn->num), 0);
1027 for (si = 0; si < mant_bdp_len; si++)
1028 {
1029 int val;
1030
1031 GMP_INTS_mpz_mul_si(&(rn->num), &(rn->num), 10);
1032 val = CHARFUNC_digit_to_val(s[mant_bdp + si]);
1033 if (val >= 0)
1034 GMP_INTS_mpz_add_ui(&(rn->num), &(rn->num), val);
1035 }
1036 for (si = 0; si < mant_adp_len; si++)
1037 {
1038 int val;
1039
1040 GMP_INTS_mpz_mul_si(&(rn->num), &(rn->num), 10);
1041 val = CHARFUNC_digit_to_val(s[mant_adp + si]);
1042 if (val >= 0)
1043 GMP_INTS_mpz_add_ui(&(rn->num), &(rn->num), val);
1044 }
1045
1046 //The numerator should now have an integer which is
1047 //The absolute value of the mantissa. Process the possible
1048 //sign.
1049 if (mant_sign == '-')
1050 GMP_INTS_mpz_negate(&(rn->num));
1051
1052 //We now need to form a value from the exponent, if any.
1053 //First, tackle the exponent. Process the
1054 //exponent into a signed integer. We have to
1055 //balk at anything outside of 24 bits. The
1056 //procedure used automatically handles
1057 //leading zeros correctly.
1058 exponent_val = 0;
1059 for (si=exp; si<(exp+exp_len); si++)
1060 {
1061 int val;
1062
1063 val = CHARFUNC_digit_to_val(s[si]);
1064
1065 assert(val >= 0 && val <= 9);
1066
1067 exponent_val *= 10;
1068 exponent_val += val;
1069
1070 if (((exp_sign=='-') && (exponent_val>8388608))
1071 ||
1072 ((exp_sign != '-') && (exponent_val>8388607)))
1073 {
1074 *failure = 1;
1075 return;
1076 }
1077 }
1078
1079 //If we're here, the exponent has been computed and
1080 //is within 24 bits. However, we need to adjust for
1081 //the sign.
1082 if (exp_sign == '-')
1083 exponent_val = -exponent_val;
1084
1085 //We need to adjust the exponent for the number of digits
1086 //after the decimal point.
1087 exponent_val -= mant_adp_len;
1088
1089 //Again, clip for size.
1090 if ((exponent_val < -8388608) || (exponent_val > 8388607))
1091 {
1092 *failure = 1;
1093 return;
1094 }
1095
1096 //There are two cases to consider. If the exponent
1097 //is positive, we need to multiply the numerator
1098 //by 10 exponentiated to the power of the exponent.
1099 //If the exponent is negative, we need to do the
1100 //same thing to the denominator. If the exponent
1101 //is negative, we don't need to do anything.
1102 if (exponent_val > 0)
1103 {
1104 GMP_INTS_mpz_struct k10, k10_exponentiated;
1105
1106 GMP_INTS_mpz_init(&k10);
1107 GMP_INTS_mpz_init(&k10_exponentiated);
1108
1109 GMP_INTS_mpz_set_ui(&k10, 10);
1110
1111 GMP_INTS_mpz_pow_ui(&k10_exponentiated, &k10, exponent_val);
1112
1113 GMP_INTS_mpz_mul(&(rn->num), &(rn->num), &k10_exponentiated);
1114
1115 GMP_INTS_mpz_clear(&k10);
1116 GMP_INTS_mpz_clear(&k10_exponentiated);
1117
1118 *failure = 0;
1119
1120 if (GMP_INTS_mpz_get_flags(&(rn->num)) || GMP_INTS_mpz_get_flags(&(rn->den)))
1121 *failure = 1;
1122
1123 return;
1124 }
1125 else if (exponent_val < 0)
1126 {
1127 GMP_INTS_mpz_struct k10, k10_exponentiated;
1128
1129 GMP_INTS_mpz_init(&k10);
1130 GMP_INTS_mpz_init(&k10_exponentiated);
1131
1132 GMP_INTS_mpz_set_ui(&k10, 10);
1133
1134 GMP_INTS_mpz_pow_ui(&k10_exponentiated, &k10, -exponent_val);
1135
1136 GMP_INTS_mpz_mul(&(rn->den), &(rn->den), &k10_exponentiated);
1137
1138 GMP_INTS_mpz_clear(&k10);
1139 GMP_INTS_mpz_clear(&k10_exponentiated);
1140
1141 *failure = 0;
1142
1143 if (GMP_INTS_mpz_get_flags(&(rn->num)) || GMP_INTS_mpz_get_flags(&(rn->den)))
1144 *failure = 1;
1145
1146 return;
1147 }
1148 }
1149 }
1150
1151
1152 //08/07/01: Visual inspection OK.
1153 void GMP_RATS_mpq_set_all_format_rat_num(const char *s,
1154 int *failure,
1155 GMP_RATS_mpq_struct *rn)
1156 {
1157 //Eyeball the input parameters.
1158 assert(s != NULL);
1159 assert(failure != NULL);
1160 assert(rn != NULL);
1161
1162 //Assume no failure.
1163 *failure = 0;
1164
1165 //Try in order to parse as integers with slash then
1166 //as number in scientific notation.
1167 GMP_RATS_mpq_set_complex_slash_sepd_rat_num(s,
1168 failure,
1169 rn);
1170 if (!*failure)
1171 return;
1172
1173 GMP_RATS_mpq_set_sci_not_rat_num(s,
1174 failure,
1175 rn);
1176
1177 if (*failure)
1178 *failure = 1; //Clamp output.
1179 }
1180
1181
1182 /******************************************************************/
1183 /*** NORMALIZATION FUNCTIONS ************************************/
1184 /******************************************************************/
1185 //08/07/01: Visual inspection OK.
1186 void GMP_RATS_mpq_normalize_sign(GMP_RATS_mpq_struct *rn)
1187 {
1188 //Eyeball the input.
1189 assert(rn != NULL);
1190
1191 if (GMP_INTS_mpz_is_neg(&rn->num) && GMP_INTS_mpz_is_neg(&rn->den))
1192 {
1193 //Both negative, can negate both, this leaves both positive,
1194 //which is the normalized form for a positive rational
1195 //number.
1196 GMP_INTS_mpz_negate(&rn->num);
1197 GMP_INTS_mpz_negate(&rn->den);
1198 }
1199 else if (!GMP_INTS_mpz_is_neg(&rn->num) && GMP_INTS_mpz_is_neg(&rn->den))
1200 {
1201 //Denominator neg, numerator non-neg, can negate both. This
1202 //will leave numerator neg, denominator pos, which is
1203 //normalized form for negative rational number.
1204 GMP_INTS_mpz_negate(&rn->num);
1205 GMP_INTS_mpz_negate(&rn->den);
1206 }
1207 }
1208
1209
1210 //08/07/01: Visual inspection OK.
1211 void GMP_RATS_mpq_normalize(GMP_RATS_mpq_struct *rn)
1212 {
1213 //Eyeball the input.
1214 assert(rn != NULL);
1215
1216 //Cover some special cases. If either component has flags
1217 //set, don't even touch it.
1218 if (GMP_INTS_mpz_get_flags(&(rn->num)) || GMP_INTS_mpz_get_flags(&(rn->den)))
1219 {
1220 return;
1221 }
1222 //If the denominator is zero, normalize it to 1/0, the canonical
1223 //for for an illegal rational number.
1224 else if (GMP_INTS_mpz_is_zero(&(rn->den)))
1225 {
1226 GMP_RATS_mpq_set_si(rn, 1, 0);
1227 return;
1228 }
1229 //If the numerator is zero, convert the number to the canonical
1230 //form for zero of 0/1.
1231 else if (GMP_INTS_mpz_is_zero(&(rn->num)))
1232 {
1233 GMP_RATS_mpq_set_si(rn, 0, 1);
1234 return;
1235 }
1236 else
1237 {
1238 int num_is_neg;
1239 int den_is_neg;
1240 GMP_INTS_mpz_struct gcd, quotient, remainder;
1241
1242 //Allocate space for the integers used.
1243 GMP_INTS_mpz_init(&gcd);
1244 GMP_INTS_mpz_init(&quotient);
1245 GMP_INTS_mpz_init(&remainder);
1246
1247 //This is the most normal case, where we need to
1248 //look at reducing the numerator and denominator.
1249 //One way to do it would be to obtain the g.c.d.
1250 //and divide this out, and this is the route
1251 //we'll take. However, must grab out the sign.
1252 if (GMP_INTS_mpz_is_neg(&(rn->num)))
1253 {
1254 num_is_neg = 1;
1255 GMP_INTS_mpz_negate(&(rn->num));
1256 }
1257 else
1258 {
1259 num_is_neg = 0;
1260 }
1261
1262 if (GMP_INTS_mpz_is_neg(&(rn->den)))
1263 {
1264 den_is_neg = 1;
1265 GMP_INTS_mpz_negate(&(rn->den));
1266 }
1267 else
1268 {
1269 den_is_neg = 0;
1270 }
1271
1272 //Calculate the GCD.
1273 GMP_INTS_mpz_gcd(&gcd, &(rn->num), &(rn->den));
1274
1275 //Divide the numerator by the GCD and store it
1276 //back.
1277 GMP_INTS_mpz_tdiv_qr(&quotient, &remainder,
1278 &(rn->num), &gcd);
1279 GMP_INTS_mpz_copy(&(rn->num), &quotient);
1280
1281 //Divide the denominator by the GCD and store it
1282 //back.
1283 GMP_INTS_mpz_tdiv_qr(&quotient, &remainder,
1284 &(rn->den), &gcd);
1285 GMP_INTS_mpz_copy(&(rn->den), &quotient);
1286
1287 //We now need to adjust the sign. Both the
1288 //numerator and denominator are definitely
1289 //positive. Need to make the numerator
1290 //negative if either but not both of the
1291 //original signs were negative.
1292 if ((num_is_neg && !den_is_neg) || (!num_is_neg && den_is_neg))
1293 {
1294 GMP_INTS_mpz_negate(&(rn->num));
1295 }
1296
1297 //Deallocate space for the integers used.
1298 GMP_INTS_mpz_clear(&gcd);
1299 GMP_INTS_mpz_clear(&quotient);
1300 GMP_INTS_mpz_clear(&remainder);
1301
1302 return;
1303 }
1304 }
1305
1306
1307 /******************************************************************/
1308 /*** ARITHMETIC FUNCTIONS ***************************************/
1309 /******************************************************************/
1310 //08/08/01: Visual inspection OK.
1311 void GMP_RATS_mpq_add( GMP_RATS_mpq_struct *result,
1312 const GMP_RATS_mpq_struct *arg1,
1313 const GMP_RATS_mpq_struct *arg2)
1314 {
1315 GMP_RATS_mpq_struct rv;
1316 GMP_INTS_mpz_struct temp;
1317
1318 //Eyeball the input parameters.
1319 assert(result != NULL);
1320 assert(arg1 != NULL);
1321 assert(arg2 != NULL);
1322
1323 //Generally speaking, we do not want to require that
1324 //the arguments and the result be distinct, as this is
1325 //too much of a restriction on the caller. The approach
1326 //taken, somewhat wasteful, is to allocate a place for
1327 //the return value.
1328 //
1329 //For addition, if we are adding a/b and c/d, the
1330 //result is necessarily algebraically
1331 //(ad + cb)/bd.
1332 //
1333 //If either rational number in the input is invalid,
1334 //flag the result as invalid.
1335 if (GMP_RATS_mpq_is_nan(arg1) || GMP_RATS_mpq_is_nan(arg2))
1336 {
1337 GMP_RATS_mpq_set_si(result, 1, 0);
1338 }
1339 else
1340 {
1341 //Both rational numbers are OK. Can simply stage the
1342 //result by the algebraic identity and then
1343 //normalize it. Only need one temporary variable.
1344 //
1345 //Initialize the rational number that we will use to
1346 //hold return value in case it is the same as one
1347 //or both of the arguments.
1348 GMP_RATS_mpq_init(&rv);
1349
1350 //Initialize the temporary integer.
1351 GMP_INTS_mpz_init(&temp);
1352
1353 //numerator = a * d
1354 GMP_INTS_mpz_mul(&(rv.num), &(arg1->num), &(arg2->den));
1355
1356 //temp = c * b
1357 GMP_INTS_mpz_mul(&temp, &(arg2->num), &(arg1->den));
1358
1359 //numerator = a * d + c * b
1360 GMP_INTS_mpz_add(&(rv.num), &(rv.num), &temp);
1361
1362 //denominator = b * d
1363 GMP_INTS_mpz_mul(&(rv.den), &(arg1->den), &(arg2->den));
1364
1365 //Copy the temporary result to the actual return value.
1366 //Had to wait until now in case result was the same
1367 //as either or both args.
1368 GMP_RATS_mpq_copy(result, &rv);
1369
1370 //Normalize the result.
1371 GMP_RATS_mpq_normalize(result);
1372
1373 //Free dynamic memory.
1374 GMP_RATS_mpq_clear(&rv);
1375 GMP_INTS_mpz_clear(&temp);
1376 }
1377 }
1378
1379
1380 //08/08/01: Visual inspection OK.
1381 void GMP_RATS_mpq_sub( GMP_RATS_mpq_struct *result,
1382 const GMP_RATS_mpq_struct *arg1,
1383 const GMP_RATS_mpq_struct *arg2)
1384 {
1385 GMP_RATS_mpq_struct negated_arg_2;
1386
1387 //Eyeball the input parameters.
1388 assert(result != NULL);
1389 assert(arg1 != NULL);
1390 assert(arg2 != NULL);
1391
1392 //For the subtract function, we could do it directly,
1393 //but might as well just define it recursively
1394 //in terms of add. We can't modify the inputs,
1395 //so copy the second off and negate it. All error
1396 //flags and so forth will propagate automatically.
1397 //
1398 //Allocate space for the negated arg 2.
1399 GMP_RATS_mpq_init(&negated_arg_2);
1400
1401 //Copy from the original.
1402 GMP_RATS_mpq_copy(&negated_arg_2, arg2);
1403
1404 //Negate the copy. Negating the numerator will
1405 //do it.
1406 GMP_INTS_mpz_negate(&(negated_arg_2.num));
1407
1408 //Make the add, which now is really a subtract.
1409 GMP_RATS_mpq_add(result, arg1, &negated_arg_2);
1410
1411 //Destroy the temporary variable.
1412 GMP_RATS_mpq_clear(&negated_arg_2);
1413 }
1414
1415
1416 //08/16/01: Visual inspection OK.
1417 void GMP_RATS_mpq_mul( GMP_RATS_mpq_struct *result,
1418 const GMP_RATS_mpq_struct *arg1,
1419 const GMP_RATS_mpq_struct *arg2)
1420 {
1421 //Eyeball the input parameters.
1422 assert(result != NULL);
1423 assert(arg1 != NULL);
1424 assert(arg2 != NULL);
1425
1426 //If either rational number in the input is invalid,
1427 //flag the result as invalid.
1428 if (GMP_RATS_mpq_is_nan(arg1) || GMP_RATS_mpq_is_nan(arg2))
1429 {
1430 GMP_RATS_mpq_set_si(result, 1, 0);
1431 }
1432 else
1433 {
1434 //Rational number multiplication is a simple matter.
1435 //Just multiply components. Don't need to worry
1436 //about rational numbers overlapping, as numerator
1437 //operations and denominator operations are separate.
1438 GMP_INTS_mpz_mul(&(result->num),
1439 &(arg1->num),
1440 &(arg2->num));
1441 GMP_INTS_mpz_mul(&(result->den),
1442 &(arg1->den),
1443 &(arg2->den));
1444
1445 //Normalize it.
1446 GMP_RATS_mpq_normalize(result);
1447 }
1448 }
1449
1450
1451 //08/16/01: Visual inspection OK.
1452 void GMP_RATS_mpq_div( GMP_RATS_mpq_struct *result,
1453 const GMP_RATS_mpq_struct *arg1,
1454 const GMP_RATS_mpq_struct *arg2)
1455 {
1456 GMP_RATS_mpq_struct rv;
1457
1458 //Eyeball the input parameters.
1459 assert(result != NULL);
1460 assert(arg1 != NULL);
1461 assert(arg2 != NULL);
1462
1463 //If either rational number in the input is invalid,
1464 //flag the result as invalid.
1465 if (GMP_RATS_mpq_is_nan(arg1) || GMP_RATS_mpq_is_nan(arg2))
1466 {
1467 GMP_RATS_mpq_set_si(result, 1, 0);
1468 }
1469 else
1470 {
1471 //Rational number division is a simple matter.
1472 //Just multiply components. We do need to worry
1473 //about rational numbers overlapping, so must
1474 //make a copy of the return value. If denominator
1475 //of return value is zero, it is NAN, but caller
1476 //should detect this.
1477 //
1478 //Allocate return value.
1479 GMP_RATS_mpq_init(&rv);
1480
1481 //Calculate quotient.
1482 GMP_INTS_mpz_mul(&(rv.num),
1483 &(arg1->num),
1484 &(arg2->den));
1485 GMP_INTS_mpz_mul(&(rv.den),
1486 &(arg1->den),
1487 &(arg2->num));
1488
1489 //Normalize quotient.
1490 GMP_RATS_mpq_normalize(&rv);
1491
1492 //Copy to its destination.
1493 GMP_RATS_mpq_copy(result, &rv);
1494
1495 //Deallocate temporary return value.
1496 GMP_RATS_mpq_clear(&rv);
1497 }
1498 }
1499
1500
1501 /******************************************************************/
1502 /*** COMPARISON FUNCTIONS ***************************************/
1503 /******************************************************************/
1504 //08/16/01: Visual inspection OK.
1505 int GMP_RATS_mpq_cmp(const GMP_RATS_mpq_struct *arg1,
1506 const GMP_RATS_mpq_struct *arg2,
1507 int *failure)
1508 {
1509 int arg1_sgn;
1510 int arg2_sgn;
1511 int rv, failure_rv;
1512 GMP_INTS_mpz_struct prod1, prod2;
1513
1514 //Eyeball the input parameters. Note that the third
1515 //parameter may be NULL.
1516 assert(arg1 != NULL);
1517 assert(arg2 != NULL);
1518
1519 //If either of the input arguments are NAN, we
1520 //cannot compare arguments. We return 0, and it
1521 //depends on the caller whether it is important
1522 //that the comparison is bogus.
1523 if (GMP_RATS_mpq_is_nan(arg1) || GMP_RATS_mpq_is_nan(arg2))
1524 {
1525 if (failure != NULL)
1526 *failure = 1;
1527 return(0);
1528 }
1529
1530 //Calculate the sign of the left argument. The encoding
1531 //we'll use is -1 means negative, 0 means zero, and
1532 //1 means positive.
1533 if (GMP_INTS_mpz_is_zero(&(arg1->num)))
1534 {
1535 arg1_sgn = 0;
1536 }
1537 else if (GMP_INTS_mpz_is_neg(&(arg1->num)) && GMP_INTS_mpz_is_neg(&(arg1->den)))
1538 {
1539 arg1_sgn = 1;
1540 }
1541 else if (GMP_INTS_mpz_is_neg(&(arg1->num)) && GMP_INTS_mpz_is_pos(&(arg1->den)))
1542 {
1543 arg1_sgn = -1;
1544 }
1545 else if (GMP_INTS_mpz_is_pos(&(arg1->num)) && GMP_INTS_mpz_is_neg(&(arg1->den)))
1546 {
1547 arg1_sgn = -1;
1548 }
1549 else if (GMP_INTS_mpz_is_pos(&(arg1->num)) && GMP_INTS_mpz_is_pos(&(arg1->den)))
1550 {
1551 arg1_sgn = 1;
1552 }
1553
1554 //Calculate the sign of the right argument. The encoding
1555 //we'll use is -1 means negative, 0 means zero, and
1556 //1 means positive.
1557 if (GMP_INTS_mpz_is_zero(&(arg2->num)))
1558 {
1559 arg2_sgn = 0;
1560 }
1561 else if (GMP_INTS_mpz_is_neg(&(arg2->num)) && GMP_INTS_mpz_is_neg(&(arg2->den)))
1562 {
1563 arg2_sgn = 1;
1564 }
1565 else if (GMP_INTS_mpz_is_neg(&(arg2->num)) && GMP_INTS_mpz_is_pos(&(arg2->den)))
1566 {
1567 arg2_sgn = -1;
1568 }
1569 else if (GMP_INTS_mpz_is_pos(&(arg2->num)) && GMP_INTS_mpz_is_neg(&(arg2->den)))
1570 {
1571 arg2_sgn = -1;
1572 }
1573 else if (GMP_INTS_mpz_is_pos(&(arg2->num)) && GMP_INTS_mpz_is_pos(&(arg2->den)))
1574 {
1575 arg2_sgn = 1;
1576 }
1577
1578 //OK, can handle some simple cases where the signs of the
1579 //operands are different or both are zero.
1580 if ((arg1_sgn == 0) && (arg2_sgn == 0))
1581 {
1582 if (failure != NULL)
1583 *failure = 0;
1584 return(0);
1585 }
1586 else if ((arg1_sgn == -1) && (arg2_sgn > -1))
1587 {
1588 if (failure != NULL)
1589 *failure = 0;
1590 return(-1);
1591 }
1592 else if ((arg1_sgn == 0) && (arg2_sgn < 0))
1593 {
1594 if (failure != NULL)
1595 *failure = 0;
1596 return(1);
1597 }
1598 else if ((arg1_sgn == 0) && (arg2_sgn > 0))
1599 {
1600 if (failure != NULL)
1601 *failure = 0;
1602 return(-1);
1603 }
1604 else if ((arg1_sgn == 1) && (arg2_sgn < 1))
1605 {
1606 if (failure != NULL)
1607 *failure = 0;
1608 return(1);
1609 }
1610
1611 //OK at this point, we cannot make a simple determination
1612 //as to the relative ordering. The signs of arg1 and
1613 //arg2 are both the same, either both positive or both
1614 //negative. We have to do a multiplication to sort
1615 //it out.
1616 //
1617 //Allocate the two integers to hold multiplication
1618 //results.
1619 GMP_INTS_mpz_init(&prod1);
1620 GMP_INTS_mpz_init(&prod2);
1621
1622 //Cross-multiply to get relative magnitudes.
1623 GMP_INTS_mpz_mul(&prod1, &(arg1->num), &(arg2->den));
1624 GMP_INTS_mpz_mul(&prod2, &(arg1->den), &(arg2->num));
1625
1626 //Take absolute values.
1627 GMP_INTS_mpz_abs(&prod1);
1628 GMP_INTS_mpz_abs(&prod2);
1629
1630 //If we overflowed either multiplication and generated
1631 //a NAN, we cannot complete the compare.
1632 if (GMP_INTS_mpz_get_flags(&prod1) || GMP_INTS_mpz_get_flags(&prod2))
1633 {
1634 failure_rv = 1;
1635 rv = 0;
1636 }
1637 //If both rational numbers were effectively positive, we can
1638 //use the relative ordering of the products as the relative
1639 //ordering of the rational numbers.
1640 else if (arg1_sgn == 1)
1641 {
1642 //Compare the integers.
1643 rv = GMP_INTS_mpz_cmp(&prod1, &prod2);
1644
1645 //Clamp the return value.
1646 if (rv < 0)
1647 rv = -1;
1648 else if (rv == 0)
1649 rv = 0;
1650 else if (rv > 0)
1651 rv = 1;
1652
1653 //There was no error.
1654 failure_rv = 0;
1655 }
1656 else
1657 {
1658 //The only case that *should* allow us to be here is
1659 //if the sign of both numbers is neg.
1660 assert(arg1_sgn == -1);
1661
1662 //Compare the integers.
1663 rv = GMP_INTS_mpz_cmp(&prod1, &prod2);
1664
1665 //Invert and clamp the return value.
1666 if (rv < 0)
1667 rv = 1;
1668 else if (rv == 0)
1669 rv = 0;
1670 else if (rv > 0)
1671 rv = -1;
1672
1673 //There was no error.
1674 failure_rv = 0;
1675 }
1676
1677 //Deallocate the two integers.
1678 GMP_INTS_mpz_clear(&prod1);
1679 GMP_INTS_mpz_clear(&prod2);
1680
1681 //Return the return values.
1682 if (failure != NULL)
1683 *failure = failure_rv;
1684 return(rv);
1685 }
1686
1687
1688 /******************************************************************/
1689 /*** VERSION CONTROL REPORTING FUNCTIONS ************************/
1690 /******************************************************************/
1691 //08/07/01: Visual inspection OK.
1692 const char *GMP_RATS_cvcinfo(void)
1693 {
1694 return("$Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_rats.c,v 1.10 2001/08/16 19:49:40 dtashley Exp $");
1695 }
1696
1697
1698 //08/07/01: Visual inspection OK.
1699 const char *GMP_RATS_hvcinfo(void)
1700 {
1701 return(GMP_RATS_H_VERSION);
1702 }
1703
1704
1705 //**************************************************************************
1706 // $Log: gmp_rats.c,v $
1707 // Revision 1.10 2001/08/16 19:49:40 dtashley
1708 // Beginning to prepare for v1.05 release.
1709 //
1710 // Revision 1.9 2001/08/15 06:56:05 dtashley
1711 // Substantial progress. Safety check-in.
1712 //
1713 // Revision 1.8 2001/08/12 10:20:58 dtashley
1714 // Safety check-in. Substantial progress.
1715 //
1716 // Revision 1.7 2001/08/10 00:53:59 dtashley
1717 // Completion of basic rational number arithmetic utilities and extensions.
1718 //
1719 // Revision 1.6 2001/08/08 02:16:51 dtashley
1720 // Completion of RNRED utility and ARBINT RNRED Tcl extension.
1721 //
1722 // Revision 1.5 2001/08/07 10:42:48 dtashley
1723 // Completion of CFRATNUM extensions and DOS command-line utility.
1724 //
1725 // Revision 1.4 2001/07/13 21:02:20 dtashley
1726 // Version control reporting changes.
1727 //
1728 // Revision 1.3 2001/07/13 20:44:42 dtashley
1729 // Changes, CVS keyword expansion test.
1730 //
1731 // Revision 1.2 2001/07/13 00:57:08 dtashley
1732 // Safety check-in. Substantial progress on port.
1733 //
1734 // Revision 1.1 2001/07/12 05:42:06 dtashley
1735 // Initial checkin.
1736 //
1737 //**************************************************************************
1738 // End of GMP_RATS.C.

dashley@gmail.com
ViewVC Help
Powered by ViewVC 1.1.25