/[dtapublic]/projs/trunk/shared_source/c_datd/gmp_ints.h
ViewVC logotype

Contents of /projs/trunk/shared_source/c_datd/gmp_ints.h

Parent Directory Parent Directory | Revision Log Revision Log


Revision 42 - (show annotations) (download)
Fri Oct 14 01:50:00 2016 UTC (8 years, 1 month ago) by dashley
File MIME type: text/plain
File size: 78633 byte(s)
Move shared source code to commonize.
1 // $Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_ints.h,v 1.23 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 /*
686 This software module is a careful adaptation of the integer functions
687 in the GNU MP library.
688
689 By "adaptation" I mean the following:
690
691 o Many of the macros and other constructs that affect readability
692 have been removed. This has been done for simplicity.
693
694 o Only the needed functions (large integer and rational number
695 functions) have been included. This is for use in Dave Ashley's
696 set of tools.
697
698 o The number of source modules has been dramatically reduced.
699
700 o Assembly-language has been removed. Instead, at the lowest
701 level, the core is generic 'C' provided by GNU (this is
702 selected if processor=none is the processor chosen). This
703 certainly has an effect on speed, but I would rather sacrifice
704 quite a bit of speed and keep it simple (in one module).
705
706 o The GNU MP library has been specifically ported for Microsoft
707 Visual C++ 6.0. In other words, its portability has been
708 deliberately destroyed. Do NOT try to use this on another
709 platform (or at least certainly do NOT contact me if you have
710 problems with this).
711
712 o Certain other stylistic changes have been made.
713
714 The GNU MP code is impressive, because it is so quick. However,
715 because many of the algorithms were so advanced, I couldn't
716 understand their basis. I would rather have a slower software
717 module that I can debug than a faster one that can't be
718 decisively debugged if necessary.
719
720 This code can be optimized, if necessary, by reincorporating
721 GNU MP code without changing the interface. This would be
722 fairly easy to do. I would recommend proceeding in the following
723 order:
724 o Replacing the innards of some of the lower-level
725 functions with assembly-language (there may be usable
726 assembly-language in the GNU code). The lowest-level
727 multiplication function, for example, was noted to be
728 VERY inefficient (but correct!).
729 o Making algorithmic improvements in the higher-level
730 functions by reincorporating GNU code. These
731 algorithmic improvements were removed because
732 I couldn't understand them. For example, I could
733 not understand the advanced multiplication and
734 division algorithms.
735
736 I decline to include the GNU public license statement which is
737 included with the GNU MP code, because this software has been
738 changed enough that it isn't quite the GNU MP code any longer.
739 However, this software module is still under the GNU public
740 license because it is included with Dave Ashley's tool set (The
741 Iju Tool Set). Additionally, although this software module has been
742 modified enough that it really is a separate effort, I would like to
743 acknowledge the tremendous job done by the GNU MP team. Certainly
744 I would not have undertaken a project of this complexity without
745 an existing template to work from--i.e. something successful already
746 in existence. The really hard work--a working and efficient design--
747 was done by the GNU MP team, and my modifications, although substantial,
748 are trivial in comparison to the design work done by the GNU MP team.
749
750 It should also be noted that this integer module is not a product
751 of GNU--I named it GNU_INTS because it is based on the GNU MP
752 library. The GNU MP library is faster and more sophisticated. This
753 is a pared down module to give some of the speed benefits of binary
754 arithmetic without too much extra complexity. Most of the
755 sophisticated algorithms used by the GNU MP library have been
756 removed.
757
758 The basic abstraction implemented by this type of integer is that
759 any operation can be performed on integers, and NAN flags propagate.
760 However, once an integer has reached a NAN state, the tests (is_zero, etc.)
761 are unreliable. Generally, any client which uses these integers should
762 check errors before tests, but doesn't need to check them after each
763 calculation. I say "before" tests because otherwise an integer may reach
764 NAN and cause an infinite loop because a test will never become TRUE, etc.
765 */
766
767 #ifndef GMP_INTS_H_INCLUDED
768 #define GMP_INTS_H_INCLUDED
769
770 #ifdef MODULE_GMP_INTS
771 #define DECMOD_GMP_INTS
772 #else
773 #define DECMOD_GMP_INTS extern
774 #endif
775
776 typedef unsigned long int GMP_INTS_limb_t;
777 //The fundamental data type for representing integers in binary
778 //form. For MSVC++, this is a 32-bit type. This data type
779 //is not normally needed publicly.
780 #define GMP_INTS_BITS_PER_LIMB (32)
781 //This is the number of bits that each limb is assumed to hold.
782 //There is an explicit function in the interface to check this,
783 //in case anything changes with future versions of MSVC++.
784 //This software module is NOT meant to be portable, or even
785 //particularly quick. It is meant to be verifiable and
786 //testable instead.
787 typedef long int GMP_INTS_limb_signed_t;
788 //Signed version of above.
789 typedef GMP_INTS_limb_t * GMP_INTS_limb_ptr;
790 //Pointer to a limb (or, more characteristically, to an array
791 //of limbs).
792 typedef const GMP_INTS_limb_t * GMP_INTS_limb_srcptr;
793 //Constant pointer used as the source pointer for copies
794 //and other operations.
795 typedef long int GMP_INTS_size_t;
796 //Used for representing the size of things to this module
797 typedef long int GMP_INTS_exp_t;
798 //Used for representing exponent. Assumed to be large enough
799 //for this.
800
801 //Below is fundamental structure which holds an arbitrary-size
802 //integer.
803 typedef struct
804 {
805 int flags;
806 //Bit-flags as to the condition of the
807 //integer. The bitflags defined so far
808 //are designed to be mutually exclusive,
809 //and are listed below. At the same time,
810 //we need to define the "official" strings
811 //for these bit flags.
812 #define GMP_INTS_EF_INTOVF_POS (1)
813 #define GMP_INTS_EF_INTOVF_POS_STRING \
814 "GMP_INTS_EF_INTOVF_POS"
815 //The integer has become too large
816 //growing in a positive direction.
817 //No further arithmetic will be
818 //performed on it.
819 #define GMP_INTS_EF_INTOVF_NEG (2)
820 #define GMP_INTS_EF_INTOVF_NEG_STRING \
821 "GMP_INTS_EF_INTOVF_NEG"
822 //The integer has become too large
823 //growing in a negative direction.
824 //No further arithmetic will be
825 //performed on it.
826 #define GMP_INTS_EF_INTOVF_TAINT_POS (4)
827 #define GMP_INTS_EF_INTOVF_TAINT_POS_STRING \
828 "GMP_INTS_EF_INTOVF_TAINT_POS"
829 //The integer has been arithmetically
830 //combined with an integer that has
831 //overflowed in the positive direction.
832 //This integer is thus considered tainted
833 //and no further arithmetic will be
834 //performed on it.
835 #define GMP_INTS_EF_INTOVF_TAINT_NEG (8)
836 #define GMP_INTS_EF_INTOVF_TAINT_NEG_STRING \
837 "GMP_INTS_EF_INTOVF_TAINT_NEG"
838 //The integer has been arithmetically
839 //combined with an integer that has
840 //overflowed in the negative direction.
841 //This integer is thus considered tainted
842 //and no further arithmetic will be
843 //performed on it.
844 //The flags above will prevent arithmetic
845 //on an integer and will taint any integer
846 //that comes into contact with it as the
847 //result of an operation. These flags are
848 //cleared only by an assignment operation
849 //of any kind.
850 //
851 //The next logical questions are:
852 // o Why do we want to make a size
853 // limit on integers, anyway?
854 // o How big is too big?
855 //
856 //We want a limit because this software module
857 //will be used in programs that should be
858 //reliable. Allowing arbitrarily large results
859 //would invite users to break the software.
860 //It would also make testing impossible, because
861 //the module could not be tested out to its
862 //limits. Assigning limits means that testing
863 //can be performed to the limits. Also, there
864 //are certain constructs in the software that
865 //may break at high limits, such as _alloca().
866 //
867 //The question of how large is too large is a
868 //harder question. Arbitrarily, let's decide
869 //that we want the equivalent of integers with
870 //100,000 decimal digits, which is about
871 //332,224 bits, or 10,382 limbs. (By the way
872 //this limit can always be raised later, but
873 //the important point is that it exists and
874 //is tested to). Any integer with more limbs
875 //than this is considered illegal.
876 #define GMP_INTS_MAXIMUM_LIMBS_PER_INT (10382)
877 int n_allocd; /* Number of limbs allocated and pointed
878 to by the limbs field. This gives the
879 number allocated (i.e. physically
880 allocated), but the next field tells how
881 many are used. Memory is never shrunk
882 automatically by this software module
883 (per the wise GNU MP design), so this
884 number does not ever automatically
885 decrease. */
886 int size; /* abs(size) is the number of limbs the
887 last field points to. If _mp_size is
888 negative this is a negative number. This
889 will be zero if the integer is zero. */
890 GMP_INTS_limb_t *limbs;
891 /* Pointer to the limbs. The first field
892 of the structure (above) tells how many
893 spots are allocated, and the second
894 field (above) tells how many are used.
895 Numbers are stored least-significant
896 limbs first. */
897 } GMP_INTS_mpz_struct;
898
899
900 /* Wrappers for non-stack memory allocation function to be used
901 ** by integer, rational number, and integer and rational number
902 ** algorithm functions. These must be public because they are
903 ** used by the other modules that deal with integers and rational
904 ** numbers.
905 */
906 DECMOD_GMP_INTS void *GMP_INTS_malloc( size_t size );
907 DECMOD_GMP_INTS void *GMP_INTS_calloc( size_t num, size_t size );
908 DECMOD_GMP_INTS void *GMP_INTS_realloc( void *memblock, size_t size );
909 DECMOD_GMP_INTS void *GMP_INTS_realloc_w_size( void *memblock,
910 size_t old_size,
911 size_t size );
912 DECMOD_GMP_INTS void GMP_INTS_free( void *memblock );
913 DECMOD_GMP_INTS void GMP_INTS_free_w_size( void *memblock, size_t size );
914
915 /******************************************************************/
916 /*** PORTABILITY CHECK FUNCTIONS *******************************/
917 /******************************************************************/
918 //Because there is the risk that Microsoft Visual C++ might
919 //change in the future, the following function can be called
920 //to see if the assumptions about data sizes are valid. This
921 //function returns TRUE if there is a problem, or FALSE
922 //otherwise.
923 DECMOD_GMP_INTS int GMP_INTS_data_sizes_are_wrong(void);
924
925
926 /******************************************************************/
927 /*** ERROR STRING IDENTIFICATION AND PROCESSING FUNCTIONS *******/
928 /******************************************************************/
929 //These functions are provided because some clients may deal
930 //only with symbolic representations (Tcl/Tk, for example).
931 //
932 //Attempts to identify the passed string as one of the error
933 //strings sanctioned by this module. Returns -1 if not a match
934 //or else the following values.
935 // 0: GMP_INTS_EF_INTOVF_POS
936 // 1: GMP_INTS_EF_INTOVF_NEG
937 // 2: GMP_INTS_EF_INTOVF_TAINT_POS
938 // 3: GMP_INTS_EF_INTOVF_TAINT_NEG
939 DECMOD_GMP_INTS
940 int GMP_INTS_identify_nan_string(const char *s);
941
942 //Returns the sanctioned string for the nan value indicated.
943 //Integers that may be passed are the same as the
944 //indices above. No parameter except 0-3 is allowed.
945 DECMOD_GMP_INTS
946 const char *GMP_INTS_supply_nan_string(int idx);
947
948 /******************************************************************/
949 /*** DEBUG PRINTING FUNCTIONS **********************************/
950 /******************************************************************/
951 //These functions are for printing out integers and limbs
952 //and groups of limbs for unit testing and debugging.
953 //
954 //Prints out a group of limbs, preceded by a description.
955 //n may be 0 and/or the lg pointer supplied may be NULL.
956 DECMOD_GMP_INTS
957 void GMP_INTS_print_limb_group(FILE *stream,
958 GMP_INTS_limb_srcptr lg,
959 GMP_INTS_size_t n,
960 char *desc);
961 //Prints an entire integer for diagnosis.
962 DECMOD_GMP_INTS
963 void GMP_INTS_mpz_print_int(FILE *stream,
964 const GMP_INTS_mpz_struct *arg,
965 char *desc);
966
967 /****************************************************************/
968 /*** MACRO REPLACEMENTS *************************************/
969 /****************************************************************/
970 //The functions here are macros that have been replaced and
971 //made functions for clarity. Speed was sacrificed for clarity.
972 DECMOD_GMP_INTS
973 int GMP_INTS_mpz_get_flags(const GMP_INTS_mpz_struct *arg);
974 //Allows a caller to obtain the flags of an integer.
975 //A non-zero value indicates trouble. To figure out which
976 //trouble, compare against the bit constants defined
977 //with the "flags" field of the structure type, above.
978 DECMOD_GMP_INTS GMP_INTS_size_t GMP_INTS_abs_of_size_t(GMP_INTS_size_t arg);
979 //Returns the absolute value of one of the size arguments used
980 //to indicate number of limbs. This function is useful
981 //because integers natively stored with a negative size
982 //for negative arguments, so the absolute value gives the
983 //number of limbs consumed.
984 DECMOD_GMP_INTS int GMP_INTS_mpz_sgn(const GMP_INTS_mpz_struct *arg);
985 //Returns -1 if integer is negative, 0 if it is zero,
986 //or 1 if it is positive.
987 DECMOD_GMP_INTS int GMP_INTS_mpz_is_neg(const GMP_INTS_mpz_struct *arg);
988 DECMOD_GMP_INTS int GMP_INTS_mpz_is_zero(const GMP_INTS_mpz_struct *arg);
989 DECMOD_GMP_INTS int GMP_INTS_mpz_is_pos(const GMP_INTS_mpz_struct *arg);
990 //These functions return 1 if the condition is met, or 0
991 //otherwise.
992 DECMOD_GMP_INTS int GMP_INTS_mpz_is_odd(const GMP_INTS_mpz_struct *arg);
993 //Returns 1 if the integer is odd, or 0 if it is even.
994 DECMOD_GMP_INTS int GMP_INTS_mpz_is_even(const GMP_INTS_mpz_struct *arg);
995 //Returns 1 if the integer is even, or 0 if it is odd.
996 DECMOD_GMP_INTS void GMP_INTS_mpz_negate(GMP_INTS_mpz_struct *arg);
997 //Negates the number (changes the sign).
998 DECMOD_GMP_INTS
999 void GMP_INTS_mpn_normalize(GMP_INTS_limb_ptr limb_array,
1000 GMP_INTS_size_t *idx);
1001 //Adjusts an index downward to bypass any most significant
1002 //zero limbs. This was a macro in the GNU implementation.
1003 //This is for when the size of a result is overestimated
1004 //(the most pessimistic estimates must be made when
1005 //allocating memory before an operation).
1006 DECMOD_GMP_INTS
1007 void GMP_INTS_mpn_copy_limbs(GMP_INTS_limb_ptr dest,
1008 GMP_INTS_limb_srcptr src,
1009 GMP_INTS_size_t n);
1010 //Copies limbs from source to destination. This
1011 //function replaces a macro that was present in the
1012 //GNU code. Again, clarity over speed.
1013 /****************************************************************/
1014 /*** LOW-LEVEL ARITHMETIC FUNCTIONS *************************/
1015 /****************************************************************/
1016 //Gives the flags of a result integer as a function of the
1017 //flags of its two operands. If the function requires only
1018 //one operand, just use zero as the second parameter and the
1019 //result will be correct. Handles tainting.
1020 DECMOD_GMP_INTS
1021 int GMP_INTS_two_op_flags_map(int flags1, int flags2);
1022
1023 //Adds the single limb s2_limb to the array of limbs s1,
1024 //processing carries, and copies the result to the location
1025 //res_ptr. res_ptr is assumed to be [at least] the same size
1026 //as s1. From the design, s1 and res_ptr may be the
1027 //same set of locations. The
1028 //result is 1 if there was a carry out of the final limb or
1029 //0 otherwise.
1030 DECMOD_GMP_INTS
1031 GMP_INTS_limb_t GMP_INTS_mpn_add_1 (GMP_INTS_limb_ptr res_ptr,
1032 GMP_INTS_limb_srcptr s1_ptr,
1033 GMP_INTS_size_t s1_size,
1034 GMP_INTS_limb_t s2_limb);
1035
1036 //Very similar to the addition function. Counts on the single
1037 //limb that is being subtracted being not enough to roll over the
1038 //integer that is being subtracted from. No harm if this is done
1039 //(it just obeys 2-s complement rules) but this was probably not
1040 //the intent. From the design, s1 and res_ptr may
1041 //be the same set of locations. The
1042 //result is 1 if there was a borrow out of the final limb or
1043 //0 otherwise.
1044 DECMOD_GMP_INTS
1045 GMP_INTS_limb_t GMP_INTS_mpn_sub_1(GMP_INTS_limb_ptr res_ptr,
1046 GMP_INTS_limb_srcptr s1_ptr,
1047 GMP_INTS_size_t s1_size,
1048 GMP_INTS_limb_t s2_limb);
1049
1050 //Multiplies a limb by a group of limbs. The return value is
1051 //the unsigned overflow out of the "top", which may be up to
1052 //one limb large (i.e. it is more than just a carry, it has
1053 //a value besides 0 and 1).
1054 DECMOD_GMP_INTS
1055 GMP_INTS_limb_t GMP_INTS_mpn_mul_1(GMP_INTS_limb_ptr res_ptr,
1056 GMP_INTS_limb_srcptr s1_ptr,
1057 GMP_INTS_size_t s1_size,
1058 GMP_INTS_limb_t s2_limb);
1059
1060 //Adds together two groups of limbs of same size. The result
1061 //may be the same location as one or both of the two
1062 //operands.
1063 DECMOD_GMP_INTS
1064 GMP_INTS_limb_t GMP_INTS_mpn_add_n(GMP_INTS_limb_ptr res_ptr,
1065 GMP_INTS_limb_srcptr s1_ptr,
1066 GMP_INTS_limb_srcptr s2_ptr,
1067 GMP_INTS_size_t size);
1068
1069 //This function makes the mapping:
1070 // res_ptr = res_ptr + s2_limb * s1_ptr
1071 //From the design, it appears that it is alright if
1072 //res_ptr and s1_ptr are the same area. The return
1073 //value is the excess that that should exist one limb
1074 //above the MSL of res_ptr (i.e. it is more than a carry, it
1075 //may be larger than one).
1076 DECMOD_GMP_INTS
1077 GMP_INTS_limb_t GMP_INTS_mpn_addmul_1(GMP_INTS_limb_ptr res_ptr,
1078 GMP_INTS_limb_srcptr s1_ptr,
1079 GMP_INTS_size_t s1_size,
1080 GMP_INTS_limb_t s2_limb);
1081
1082 //This function adds in general two natural numbers. Numbers must
1083 //be arranged so that S2 takes no more limbs than S1, i.e.
1084 //LIMBS(s1) >= LIMBS(s2). Memory must be allocated, and there must
1085 //be space for the result. Not clear from the design if memory
1086 //areas can be coincident, but suspect can.
1087 DECMOD_GMP_INTS
1088 GMP_INTS_limb_t GMP_INTS_mpn_add(GMP_INTS_limb_ptr res_ptr,
1089 GMP_INTS_limb_srcptr s1_ptr,
1090 GMP_INTS_size_t s1_size,
1091 GMP_INTS_limb_srcptr s2_ptr,
1092 GMP_INTS_size_t s2_size);
1093
1094 //Subtracts two same-size operands. They may be coincident in
1095 //memory.
1096 DECMOD_GMP_INTS
1097 GMP_INTS_limb_t GMP_INTS_mpn_sub_n(GMP_INTS_limb_ptr res_ptr,
1098 GMP_INTS_limb_srcptr s1_ptr,
1099 GMP_INTS_limb_srcptr s2_ptr,
1100 GMP_INTS_size_t size);
1101
1102 //This function subtracts in general two natural numbers. Numbers must
1103 //be arranged so that S2 takes no more limbs than S1, i.e.
1104 //LIMBS(s1) >= LIMBS(s2). Memory must be allocated, and there must
1105 //be space for the result. Not clear from the design if memory
1106 //areas can be coincident. Result is S1-S2.
1107 DECMOD_GMP_INTS
1108 GMP_INTS_limb_t GMP_INTS_mpn_sub (GMP_INTS_limb_ptr res_ptr,
1109 GMP_INTS_limb_srcptr s1_ptr,
1110 GMP_INTS_size_t s1_size,
1111 GMP_INTS_limb_srcptr s2_ptr,
1112 GMP_INTS_size_t s2_size);
1113
1114 //Shifts UP of size USIZE left by CNT. CNT must be less than the number
1115 //of bits per limb, which is at this time 32. "wp" and "up" may be
1116 //coincident. Zero count is not allowed. Value returned is the bits shifted
1117 //out the left.
1118 DECMOD_GMP_INTS
1119 GMP_INTS_limb_t GMP_INTS_mpn_lshift(GMP_INTS_limb_ptr wp,
1120 GMP_INTS_limb_srcptr up,
1121 GMP_INTS_size_t usize,
1122 unsigned int cnt);
1123
1124 //Shifts UP of size USIZE right by CNT. CNT must be less than the number
1125 //of bits per limb, which is at this time 32. "wp" and "up" may be
1126 //coincident. Zero count is not allowed. Value returned is the bits shifted
1127 //out the right.
1128 DECMOD_GMP_INTS
1129 GMP_INTS_limb_t GMP_INTS_mpn_rshift (GMP_INTS_limb_ptr wp,
1130 GMP_INTS_limb_srcptr up,
1131 GMP_INTS_size_t usize,
1132 unsigned int cnt);
1133
1134 //Compares two natural numbers of same size and returns the expected
1135 //1 iff op1 > op2, -1 if op1 < op2, or 0 if they are equal. Leading
1136 //zero limbs are alright and do not affect the result.
1137 DECMOD_GMP_INTS
1138 int GMP_INTS_mpn_cmp (GMP_INTS_limb_srcptr op1_ptr,
1139 GMP_INTS_limb_srcptr op2_ptr,
1140 GMP_INTS_size_t size);
1141
1142 //This is the basic multiplication of two natural numbers, each of
1143 //which may occuply many limbs. In the
1144 //original GNU MP code, there were several algorithms which could
1145 //be selected, depending on the size of the operands and other
1146 //factors. This was the most basic case--the basic longhand
1147 //multiplication. The code has been pared so that this is the
1148 //only case.
1149 DECMOD_GMP_INTS
1150 void GMP_INTS_mpn_mul_basecase (GMP_INTS_limb_ptr prodp,
1151 GMP_INTS_limb_srcptr up,
1152 GMP_INTS_size_t usize,
1153 GMP_INTS_limb_srcptr vp,
1154 GMP_INTS_size_t vsize);
1155
1156 //This is the basic multiplication of two natural numbers. In the old
1157 //GNU MP code, one of several algorithms would be selected. The code
1158 //has been pared down so that this is just a passthrough to
1159 //GMP_INTS_mpn_mul_basecase(). Only the simplest multiplication
1160 //algorithm is used at this point.
1161 DECMOD_GMP_INTS
1162 void GMP_INTS_mpn_mul_n (GMP_INTS_limb_ptr p,
1163 GMP_INTS_limb_srcptr a,
1164 GMP_INTS_limb_srcptr b,
1165 GMP_INTS_size_t n);
1166 //Multiplication of two natural numbers. Value returned is the most
1167 //significant limb of the array of predicted size un+vn, rather than
1168 //the spillover (this is unlike most functions).
1169 DECMOD_GMP_INTS
1170 GMP_INTS_limb_t GMP_INTS_mpn_mul(GMP_INTS_limb_ptr prodp,
1171 GMP_INTS_limb_srcptr up,
1172 GMP_INTS_size_t un,
1173 GMP_INTS_limb_srcptr vp,
1174 GMP_INTS_size_t vn);
1175
1176 /******************************************************************/
1177 /*** LIMB SPACE REALLOCATION FUNCTIONS *************************/
1178 /******************************************************************/
1179 DECMOD_GMP_INTS
1180 void *GMP_INTS_mpz_realloc (GMP_INTS_mpz_struct *m,
1181 GMP_INTS_size_t new_size);
1182 //Changes the number of limbs allocated.
1183
1184 /******************************************************************/
1185 /*** PUBLIC INITIALIZATION AND MEMORY MANAGEMENT FUNCTIONS *****/
1186 /******************************************************************/
1187 //Allocate space for an integer and sets it to zero.
1188 //This must be the first call made.
1189 DECMOD_GMP_INTS
1190 void GMP_INTS_mpz_init (GMP_INTS_mpz_struct *x);
1191
1192 //Deallocates space for an integer. This must be the
1193 //final call made.
1194 DECMOD_GMP_INTS
1195 void GMP_INTS_mpz_clear (GMP_INTS_mpz_struct *x);
1196
1197
1198 /******************************************************************/
1199 /*** PUBLIC ASSIGNMENT FUNCTIONS *******************************/
1200 /******************************************************************/
1201 //Copies from one integer to another. Must both be allocated and \
1202 //not be the same variable.
1203 DECMOD_GMP_INTS
1204 void GMP_INTS_mpz_copy( GMP_INTS_mpz_struct *dst,
1205 const GMP_INTS_mpz_struct *src);
1206
1207 //Assigns the integer to be the value of an unsigned long.
1208 DECMOD_GMP_INTS
1209 void GMP_INTS_mpz_set_ui (GMP_INTS_mpz_struct *dest,
1210 unsigned long int val);
1211
1212 //Assigns the integer to be the value of a signed long.
1213 DECMOD_GMP_INTS
1214 void GMP_INTS_mpz_set_si (GMP_INTS_mpz_struct *dest,
1215 signed long int val);
1216 //Assigns the integer to be the value of a simple string
1217 //(simple = no E notation). Only form handled is
1218 // [-]digits.
1219 //Other forms will not cause catastrophic failure but might
1220 //not behave as expected.
1221 DECMOD_GMP_INTS
1222 void GMP_INTS_mpz_set_simple_char_str(GMP_INTS_mpz_struct *z,
1223 const char *s);
1224 //Assigns an arbitary integer to be a number with E notation.
1225 //*failure set non-zero if can't parse or set. Number must
1226 //be pure integer--no lost precison when scientific notation
1227 //is processed.
1228 void GMP_INTS_mpz_set_sci_not_num(GMP_INTS_mpz_struct *z,
1229 int *failure,
1230 const char *s);
1231
1232 //Attempts to parse an integer using the following three
1233 //formats: a)simple integer, b)simple integer with commas,
1234 //c)integer in scientific notation. Returns the value of
1235 //the integer if parse successful, or 0 and a failure flag
1236 //otherwise.
1237 void GMP_INTS_mpz_set_general_int(GMP_INTS_mpz_struct *z,
1238 int *failure,
1239 const char *s);
1240
1241 //Attempts to parse an integer as either a simple integer,
1242 //an integer with commas, or a number in scientific notation
1243 //into a UINT32. If the number cannot be parsed into that,
1244 //the result is zero and failure is true.
1245 void GMP_INTS_mpz_parse_into_uint32(unsigned *result,
1246 int *failure,
1247 char *s);
1248
1249 //Swaps a and b. What this does is a swap of the area
1250 //pointed to (i.e. the control block). Pointers held in
1251 //these blocks are therefore automatically swapped.
1252 DECMOD_GMP_INTS
1253 void GMP_INTS_mpz_swap(GMP_INTS_mpz_struct *a,
1254 GMP_INTS_mpz_struct *b);
1255
1256 /****************************************************************/
1257 /*** PUBLIC INTEGER ARITHMETIC FUNCTIONS ********************/
1258 /****************************************************************/
1259 //Adds two arbitrary integers to produce an arbitrary result.
1260 //The result space must be initialized already.
1261 DECMOD_GMP_INTS
1262 void GMP_INTS_mpz_add ( GMP_INTS_mpz_struct *w,
1263 const GMP_INTS_mpz_struct *u,
1264 const GMP_INTS_mpz_struct *v);
1265
1266 //Adds the integer v to u and produces w. u and w must be
1267 //be created already.
1268 void GMP_INTS_mpz_add_ui ( GMP_INTS_mpz_struct *w,
1269 const GMP_INTS_mpz_struct *u,
1270 unsigned long int v);
1271
1272 //Subtracts two aribtrary integers to produce an arbitrary
1273 //result. The result space must be initialized already.
1274 DECMOD_GMP_INTS
1275 void GMP_INTS_mpz_sub ( GMP_INTS_mpz_struct *w,
1276 const GMP_INTS_mpz_struct *u,
1277 const GMP_INTS_mpz_struct *v);
1278
1279 //Subtracts the integer v from u to produce w. u and w must
1280 //be created already.
1281 void GMP_INTS_mpz_sub_ui ( GMP_INTS_mpz_struct *w,
1282 const GMP_INTS_mpz_struct *u,
1283 unsigned long int v);
1284
1285 //Multiplies two arbitrary integers to produce an arbitrary
1286 //result. The result space must be initialized already.
1287 DECMOD_GMP_INTS
1288 void GMP_INTS_mpz_mul ( GMP_INTS_mpz_struct *w,
1289 const GMP_INTS_mpz_struct *u,
1290 const GMP_INTS_mpz_struct *v);
1291
1292 //Multiplies the arbitrary integer by a C-native signed
1293 //long.
1294 DECMOD_GMP_INTS
1295 void GMP_INTS_mpz_mul_si ( GMP_INTS_mpz_struct *w,
1296 const GMP_INTS_mpz_struct *u,
1297 long int v);
1298 //Multiplies the arbitrary integer by a C-native unsigned
1299 //long.
1300 DECMOD_GMP_INTS
1301 void GMP_INTS_mpz_mul_ui ( GMP_INTS_mpz_struct *w,
1302 const GMP_INTS_mpz_struct *u,
1303 unsigned long int v);
1304
1305 //Divides integers.
1306 DECMOD_GMP_INTS
1307 void GMP_INTS_mpz_tdiv_qr ( GMP_INTS_mpz_struct *quot,
1308 GMP_INTS_mpz_struct *rem,
1309 const GMP_INTS_mpz_struct *num,
1310 const GMP_INTS_mpz_struct *den);
1311
1312 //Calculates the factorial. All values <=1 result in a
1313 //value of 1.
1314 DECMOD_GMP_INTS
1315 void GMP_INTS_mpz_fac_ui(GMP_INTS_mpz_struct *result,
1316 unsigned long int n);
1317
1318 //Exponentiates a base to an exponent. 0^0=1, N^0=1. The algorithm
1319 //used is successive squaring and multiplying. Not the MOST efficient,
1320 //but OK. The result and the base must be different variables.
1321 DECMOD_GMP_INTS
1322 void GMP_INTS_mpz_pow_ui( GMP_INTS_mpz_struct *result,
1323 const GMP_INTS_mpz_struct *base,
1324 unsigned exponent);
1325
1326 //Takes the absolute value of the arbitrary integer passed.
1327 DECMOD_GMP_INTS
1328 void GMP_INTS_mpz_abs(GMP_INTS_mpz_struct *arg);
1329
1330 //Calculates the gcd() of the two arguments. If either argument is zero, the
1331 //result is automatically 1. If either argument is negative, its absolute
1332 //value is used. The two input pointers may not be the same, because doing
1333 //that is senseless--it would become a copy operation, because gcd(x,x) = x.
1334 //However, the result may be the same as either of the two inputs.
1335 DECMOD_GMP_INTS
1336 void GMP_INTS_mpz_gcd(GMP_INTS_mpz_struct *result,
1337 const GMP_INTS_mpz_struct *arg1,
1338 const GMP_INTS_mpz_struct *arg2);
1339
1340
1341 /******************************************************************/
1342 /*** PUBLIC CONVERSION AND OUTPUT FUNCTIONS ********************/
1343 /******************************************************************/
1344
1345 //Get an upper bound on the number of characters required for
1346 //representing an integer, including minus sign and commas,
1347 //Terminating zero, etc. This is just a little wasteful, but
1348 //will always reserve enough memory.
1349 DECMOD_GMP_INTS
1350 int GMP_INTS_mpz_size_in_base_10(const GMP_INTS_mpz_struct *arg);
1351
1352 //Convert from integer to string. Commas must be
1353 //added separately, and there is enough space reserved for
1354 //them. This function is only warrantied not to overflow
1355 //a buffer allocated using the function above as a sizing
1356 //guide.
1357 DECMOD_GMP_INTS
1358 void GMP_INTS_mpz_to_string(char *out,
1359 const GMP_INTS_mpz_struct *in);
1360
1361 //Prints the integer passed to the stream in a long-hand
1362 //format.
1363 DECMOD_GMP_INTS
1364 void GMP_INTS_mpz_long_int_format_to_stream(FILE *s,
1365 const GMP_INTS_mpz_struct *i,
1366 const char *desc);
1367
1368 //Prints the integer raw to a stream--just digits, no extra chars.
1369 DECMOD_GMP_INTS
1370 void GMP_INTS_mpz_arb_int_raw_to_stream(FILE *s,
1371 const GMP_INTS_mpz_struct *i);
1372
1373 /******************************************************************/
1374 /*** COMPARISON AND SIZING FUNCTIONS ***************************/
1375 /******************************************************************/
1376 //Returns 1 if arbitrary integer will fit in an unsigned integer,
1377 //or 0 otherwise.
1378 DECMOD_GMP_INTS
1379 int GMP_INTS_mpz_fits_uint_p (const GMP_INTS_mpz_struct *src);
1380
1381 //Returns 1 if arbitrary integer will fit in a signed integer,
1382 //or 0 otherwise.
1383 DECMOD_GMP_INTS
1384 int GMP_INTS_mpz_fits_sint_p (const GMP_INTS_mpz_struct *src);
1385
1386 //Retrieves an unsigned version of limb zero from the number,
1387 //or will return zero if the number is zero. This is the
1388 //officially sanctioned way to get the value if it fits in
1389 //an unsigned.
1390 DECMOD_GMP_INTS
1391 unsigned GMP_INTS_mpz_get_limb_zero(const GMP_INTS_mpz_struct *src);
1392
1393 //Returnes neg value if u<v, 0 if u==v, and 1 if u>v.
1394 DECMOD_GMP_INTS
1395 int GMP_INTS_mpz_cmp (const GMP_INTS_mpz_struct *u,
1396 const GMP_INTS_mpz_struct *v);
1397
1398 //Compares an arbitrary integer to an unsigned long
1399 //and returns relative ordering, <0 if u < v, 0 if u==v,
1400 //and >0 if u > v.
1401 DECMOD_GMP_INTS
1402 int GMP_INTS_mpz_cmp_ui (const GMP_INTS_mpz_struct *u,
1403 unsigned long int v_digit);
1404 //Compares arbitrary integer to a signed long
1405 //and returns relative ordering, <0 if u<v, 0 if u==v,
1406 //and >0 if u>v.
1407 DECMOD_GMP_INTS
1408 int GMP_INTS_mpz_cmp_si (const GMP_INTS_mpz_struct *u,
1409 signed long int v_digit);
1410
1411 //Compares the absolute value of two arbitrary integers.
1412 DECMOD_GMP_INTS
1413 int GMP_INTS_mpz_cmpabs (const GMP_INTS_mpz_struct *u,
1414 const GMP_INTS_mpz_struct *v);
1415 //Compares the absolute value of an arbitrary integer and
1416 //an unsigned long.
1417 DECMOD_GMP_INTS
1418 int GMP_INTS_mpz_cmpabs_ui(const GMP_INTS_mpz_struct *u,
1419 unsigned long int v_digit);
1420
1421 /****************************************************************/
1422 /*** VERSION CONTROL REPORTING FUNCTIONS ********************/
1423 /****************************************************************/
1424 DECMOD_GMP_INTS const char *GMP_INTS_cvcinfo(void);
1425 DECMOD_GMP_INTS const char *GMP_INTS_hvcinfo(void);
1426
1427 /* Preprocessor string to allow the H-file version to be
1428 ** compiled into the C-file.
1429 */
1430 #define GMP_INTS_H_VERSION ("$Header: /cvsroot/esrg/sfesrg/esrgpcpj/shared/c_datd/gmp_ints.h,v 1.23 2001/08/16 19:49:40 dtashley Exp $")
1431
1432 #endif /* GMP_INTS_H_INCLUDED */
1433
1434
1435 //**************************************************************************
1436 // $Log: gmp_ints.h,v $
1437 // Revision 1.23 2001/08/16 19:49:40 dtashley
1438 // Beginning to prepare for v1.05 release.
1439 //
1440 // Revision 1.22 2001/08/15 06:56:05 dtashley
1441 // Substantial progress. Safety check-in.
1442 //
1443 // Revision 1.21 2001/08/07 10:42:48 dtashley
1444 // Completion of CFRATNUM extensions and DOS command-line utility.
1445 //
1446 // Revision 1.20 2001/07/30 02:51:18 dtashley
1447 // INTGCD extension and command-line utility finished up.
1448 //
1449 // Revision 1.19 2001/07/29 07:18:22 dtashley
1450 // Completion of ARBINT INTFAC extension.
1451 //
1452 // Revision 1.18 2001/07/25 23:40:02 dtashley
1453 // Completion of INTFAC program, many changes to handling of large
1454 // integers.
1455 //
1456 // Revision 1.17 2001/07/21 03:32:44 dtashley
1457 // Addition of several files.
1458 //
1459 // Revision 1.16 2001/07/21 01:39:01 dtashley
1460 // Safety check-in. Major function to output an integer as rows of digits
1461 // has been completed. This was the last major function that needed to be
1462 // completed before useful command-line utilities can be constructed.
1463 //
1464 // Revision 1.15 2001/07/19 20:06:03 dtashley
1465 // Division finished. String formatting functions underway. Safety check-in.
1466 //
1467 // Revision 1.14 2001/07/18 21:53:09 dtashley
1468 // Division function finished and passes preliminary tests. Safety check-in.
1469 //
1470 // Revision 1.13 2001/07/17 22:30:14 dtashley
1471 // Safety check-in. Division function under construction.
1472 //
1473 // Revision 1.12 2001/07/16 17:46:46 dtashley
1474 // Multiplication finished, and only indirectly unit-tested. More detailed unit
1475 // test must follow, but expect no problems.
1476 //
1477 // Revision 1.11 2001/07/16 00:28:22 dtashley
1478 // Safety check-in. Addition and subtraction functions finished.
1479 //
1480 // Revision 1.10 2001/07/15 06:40:10 dtashley
1481 // Adaptation of GNU arbitrary-size integer package integrated into IjuScripter
1482 // and IjuConsole.
1483 //
1484 // Revision 1.9 2001/07/15 00:59:52 dtashley
1485 // Safety check-in. Commit before working on laptop.
1486 //
1487 // Revision 1.8 2001/07/14 07:03:37 dtashley
1488 // Safety check-in. Modifications and progress.
1489 //
1490 // Revision 1.7 2001/07/14 02:05:02 dtashley
1491 // Safety check-in. Almost ready for first unit-testing.
1492 //
1493 // Revision 1.6 2001/07/13 21:02:20 dtashley
1494 // Version control reporting changes.
1495 //
1496 // Revision 1.5 2001/07/13 18:17:16 dtashley
1497 // Safety check-in. Additionally, new files added.
1498 //
1499 // Revision 1.4 2001/07/13 06:54:57 dtashley
1500 // Safety check-in. Substantial progress and modifications.
1501 //
1502 // Revision 1.3 2001/07/13 00:57:08 dtashley
1503 // Safety check-in. Substantial progress on port.
1504 //
1505 // Revision 1.2 2001/07/12 06:44:12 dtashley
1506 // Safety check-in.
1507 //
1508 // Revision 1.1 2001/07/12 05:07:02 dtashley
1509 // Initial checkin.
1510 //
1511 //**************************************************************************
1512 // End of GMP_INTS.H.

dashley@gmail.com
ViewVC Help
Powered by ViewVC 1.1.25