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revision 171 by dashley, Sun Jul 8 21:12:48 2018 UTC revision 172 by dashley, Sun Jul 8 21:17:26 2018 UTC
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1  //$Header: /cvsroot/esrg/sfesrg/esrgnxpj/sfnthcgi0304/sieve_gen.c,v 1.3 2003/04/16 07:02:06 dtashley Exp $  //$Header$
2  //  //
3  //Sieve of Eratosthenes Table Generation  //Sieve of Eratosthenes Table Generation
4  //--------------------------------------  //--------------------------------------
5  //This utility generates a sieve table used in trial division prime number factorization.  //This utility generates a sieve table used in trial division prime number factorization.
6  //The table is a table of differentials to be added to trial divisors.  //The table is a table of differentials to be added to trial divisors.
7  //  //
8    
9  //--------------------------------------------------------------------------------  //--------------------------------------------------------------------------------
10  //Copyright 2003 David T. Ashley  //Copyright 2003 David T. Ashley
11  //-------------------------------------------------------------------------------------------------  //-------------------------------------------------------------------------------------------------
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14  //-------------------------------------------------------------------------------------------------  //-------------------------------------------------------------------------------------------------
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264  //in one of these ways:  //in one of these ways:
265  //  //
266  //    a) Convey the object code in, or embodied in, a physical product  //    a) Convey the object code in, or embodied in, a physical product
267  //    (including a physical distribution medium), accompanied by the  //    (including a physical distribution medium), accompanied by the
268  //    Corresponding Source fixed on a durable physical medium  //    Corresponding Source fixed on a durable physical medium
269  //    customarily used for software interchange.  //    customarily used for software interchange.
270  //  //
271  //    b) Convey the object code in, or embodied in, a physical product  //    b) Convey the object code in, or embodied in, a physical product
272  //    (including a physical distribution medium), accompanied by a  //    (including a physical distribution medium), accompanied by a
273  //    written offer, valid for at least three years and valid for as  //    written offer, valid for at least three years and valid for as
274  //    long as you offer spare parts or customer support for that product  //    long as you offer spare parts or customer support for that product
275  //    model, to give anyone who possesses the object code either (1) a  //    model, to give anyone who possesses the object code either (1) a
276  //    copy of the Corresponding Source for all the software in the  //    copy of the Corresponding Source for all the software in the
277  //    product that is covered by this License, on a durable physical  //    product that is covered by this License, on a durable physical
278  //    medium customarily used for software interchange, for a price no  //    medium customarily used for software interchange, for a price no
279  //    more than your reasonable cost of physically performing this  //    more than your reasonable cost of physically performing this
280  //    conveying of source, or (2) access to copy the  //    conveying of source, or (2) access to copy the
281  //    Corresponding Source from a network server at no charge.  //    Corresponding Source from a network server at no charge.
282  //  //
283  //    c) Convey individual copies of the object code with a copy of the  //    c) Convey individual copies of the object code with a copy of the
284  //    written offer to provide the Corresponding Source.  This  //    written offer to provide the Corresponding Source.  This
285  //    alternative is allowed only occasionally and noncommercially, and  //    alternative is allowed only occasionally and noncommercially, and
286  //    only if you received the object code with such an offer, in accord  //    only if you received the object code with such an offer, in accord
287  //    with subsection 6b.  //    with subsection 6b.
288  //  //
289  //    d) Convey the object code by offering access from a designated  //    d) Convey the object code by offering access from a designated
290  //    place (gratis or for a charge), and offer equivalent access to the  //    place (gratis or for a charge), and offer equivalent access to the
291  //    Corresponding Source in the same way through the same place at no  //    Corresponding Source in the same way through the same place at no
292  //    further charge.  You need not require recipients to copy the  //    further charge.  You need not require recipients to copy the
293  //    Corresponding Source along with the object code.  If the place to  //    Corresponding Source along with the object code.  If the place to
294  //    copy the object code is a network server, the Corresponding Source  //    copy the object code is a network server, the Corresponding Source
295  //    may be on a different server (operated by you or a third party)  //    may be on a different server (operated by you or a third party)
296  //    that supports equivalent copying facilities, provided you maintain  //    that supports equivalent copying facilities, provided you maintain
297  //    clear directions next to the object code saying where to find the  //    clear directions next to the object code saying where to find the
298  //    Corresponding Source.  Regardless of what server hosts the  //    Corresponding Source.  Regardless of what server hosts the
299  //    Corresponding Source, you remain obligated to ensure that it is  //    Corresponding Source, you remain obligated to ensure that it is
300  //    available for as long as needed to satisfy these requirements.  //    available for as long as needed to satisfy these requirements.
301  //  //
302  //    e) Convey the object code using peer-to-peer transmission, provided  //    e) Convey the object code using peer-to-peer transmission, provided
303  //    you inform other peers where the object code and Corresponding  //    you inform other peers where the object code and Corresponding
304  //    Source of the work are being offered to the general public at no  //    Source of the work are being offered to the general public at no
305  //    charge under subsection 6d.  //    charge under subsection 6d.
306  //  //
307  //  A separable portion of the object code, whose source code is excluded  //  A separable portion of the object code, whose source code is excluded
308  //from the Corresponding Source as a System Library, need not be  //from the Corresponding Source as a System Library, need not be
309  //included in conveying the object code work.  //included in conveying the object code work.
310  //  //
311  //  A "User Product" is either (1) a "consumer product", which means any  //  A "User Product" is either (1) a "consumer product", which means any
312  //tangible personal property which is normally used for personal, family,  //tangible personal property which is normally used for personal, family,
313  //or household purposes, or (2) anything designed or sold for incorporation  //or household purposes, or (2) anything designed or sold for incorporation
314  //into a dwelling.  In determining whether a product is a consumer product,  //into a dwelling.  In determining whether a product is a consumer product,
315  //doubtful cases shall be resolved in favor of coverage.  For a particular  //doubtful cases shall be resolved in favor of coverage.  For a particular
316  //product received by a particular user, "normally used" refers to a  //product received by a particular user, "normally used" refers to a
317  //typical or common use of that class of product, regardless of the status  //typical or common use of that class of product, regardless of the status
318  //of the particular user or of the way in which the particular user  //of the particular user or of the way in which the particular user
319  //actually uses, or expects or is expected to use, the product.  A product  //actually uses, or expects or is expected to use, the product.  A product
320  //is a consumer product regardless of whether the product has substantial  //is a consumer product regardless of whether the product has substantial
321  //commercial, industrial or non-consumer uses, unless such uses represent  //commercial, industrial or non-consumer uses, unless such uses represent
322  //the only significant mode of use of the product.  //the only significant mode of use of the product.
323  //  //
324  //  "Installation Information" for a User Product means any methods,  //  "Installation Information" for a User Product means any methods,
325  //procedures, authorization keys, or other information required to install  //procedures, authorization keys, or other information required to install
326  //and execute modified versions of a covered work in that User Product from  //and execute modified versions of a covered work in that User Product from
327  //a modified version of its Corresponding Source.  The information must  //a modified version of its Corresponding Source.  The information must
328  //suffice to ensure that the continued functioning of the modified object  //suffice to ensure that the continued functioning of the modified object
329  //code is in no case prevented or interfered with solely because  //code is in no case prevented or interfered with solely because
330  //modification has been made.  //modification has been made.
331  //  //
332  //  If you convey an object code work under this section in, or with, or  //  If you convey an object code work under this section in, or with, or
333  //specifically for use in, a User Product, and the conveying occurs as  //specifically for use in, a User Product, and the conveying occurs as
334  //part of a transaction in which the right of possession and use of the  //part of a transaction in which the right of possession and use of the
335  //User Product is transferred to the recipient in perpetuity or for a  //User Product is transferred to the recipient in perpetuity or for a
336  //fixed term (regardless of how the transaction is characterized), the  //fixed term (regardless of how the transaction is characterized), the
337  //Corresponding Source conveyed under this section must be accompanied  //Corresponding Source conveyed under this section must be accompanied
338  //by the Installation Information.  But this requirement does not apply  //by the Installation Information.  But this requirement does not apply
339  //if neither you nor any third party retains the ability to install  //if neither you nor any third party retains the ability to install
340  //modified object code on the User Product (for example, the work has  //modified object code on the User Product (for example, the work has
341  //been installed in ROM).  //been installed in ROM).
342  //  //
343  //  The requirement to provide Installation Information does not include a  //  The requirement to provide Installation Information does not include a
344  //requirement to continue to provide support service, warranty, or updates  //requirement to continue to provide support service, warranty, or updates
345  //for a work that has been modified or installed by the recipient, or for  //for a work that has been modified or installed by the recipient, or for
346  //the User Product in which it has been modified or installed.  Access to a  //the User Product in which it has been modified or installed.  Access to a
347  //network may be denied when the modification itself materially and  //network may be denied when the modification itself materially and
348  //adversely affects the operation of the network or violates the rules and  //adversely affects the operation of the network or violates the rules and
349  //protocols for communication across the network.  //protocols for communication across the network.
350  //  //
351  //  Corresponding Source conveyed, and Installation Information provided,  //  Corresponding Source conveyed, and Installation Information provided,
352  //in accord with this section must be in a format that is publicly  //in accord with this section must be in a format that is publicly
353  //documented (and with an implementation available to the public in  //documented (and with an implementation available to the public in
354  //source code form), and must require no special password or key for  //source code form), and must require no special password or key for
355  //unpacking, reading or copying.  //unpacking, reading or copying.
356  //  //
357  //  7. Additional Terms.  //  7. Additional Terms.
358  //  //
359  //  "Additional permissions" are terms that supplement the terms of this  //  "Additional permissions" are terms that supplement the terms of this
360  //License by making exceptions from one or more of its conditions.  //License by making exceptions from one or more of its conditions.
361  //Additional permissions that are applicable to the entire Program shall  //Additional permissions that are applicable to the entire Program shall
362  //be treated as though they were included in this License, to the extent  //be treated as though they were included in this License, to the extent
363  //that they are valid under applicable law.  If additional permissions  //that they are valid under applicable law.  If additional permissions
364  //apply only to part of the Program, that part may be used separately  //apply only to part of the Program, that part may be used separately
365  //under those permissions, but the entire Program remains governed by  //under those permissions, but the entire Program remains governed by
366  //this License without regard to the additional permissions.  //this License without regard to the additional permissions.
367  //  //
368  //  When you convey a copy of a covered work, you may at your option  //  When you convey a copy of a covered work, you may at your option
369  //remove any additional permissions from that copy, or from any part of  //remove any additional permissions from that copy, or from any part of
370  //it.  (Additional permissions may be written to require their own  //it.  (Additional permissions may be written to require their own
371  //removal in certain cases when you modify the work.)  You may place  //removal in certain cases when you modify the work.)  You may place
372  //additional permissions on material, added by you to a covered work,  //additional permissions on material, added by you to a covered work,
373  //for which you have or can give appropriate copyright permission.  //for which you have or can give appropriate copyright permission.
374  //  //
375  //  Notwithstanding any other provision of this License, for material you  //  Notwithstanding any other provision of this License, for material you
376  //add to a covered work, you may (if authorized by the copyright holders of  //add to a covered work, you may (if authorized by the copyright holders of
377  //that material) supplement the terms of this License with terms:  //that material) supplement the terms of this License with terms:
378  //  //
379  //    a) Disclaiming warranty or limiting liability differently from the  //    a) Disclaiming warranty or limiting liability differently from the
380  //    terms of sections 15 and 16 of this License; or  //    terms of sections 15 and 16 of this License; or
381  //  //
382  //    b) Requiring preservation of specified reasonable legal notices or  //    b) Requiring preservation of specified reasonable legal notices or
383  //    author attributions in that material or in the Appropriate Legal  //    author attributions in that material or in the Appropriate Legal
384  //    Notices displayed by works containing it; or  //    Notices displayed by works containing it; or
385  //  //
386  //    c) Prohibiting misrepresentation of the origin of that material, or  //    c) Prohibiting misrepresentation of the origin of that material, or
387  //    requiring that modified versions of such material be marked in  //    requiring that modified versions of such material be marked in
388  //    reasonable ways as different from the original version; or  //    reasonable ways as different from the original version; or
389  //  //
390  //    d) Limiting the use for publicity purposes of names of licensors or  //    d) Limiting the use for publicity purposes of names of licensors or
391  //    authors of the material; or  //    authors of the material; or
392  //  //
393  //    e) Declining to grant rights under trademark law for use of some  //    e) Declining to grant rights under trademark law for use of some
394  //    trade names, trademarks, or service marks; or  //    trade names, trademarks, or service marks; or
395  //  //
396  //    f) Requiring indemnification of licensors and authors of that  //    f) Requiring indemnification of licensors and authors of that
397  //    material by anyone who conveys the material (or modified versions of  //    material by anyone who conveys the material (or modified versions of
398  //    it) with contractual assumptions of liability to the recipient, for  //    it) with contractual assumptions of liability to the recipient, for
399  //    any liability that these contractual assumptions directly impose on  //    any liability that these contractual assumptions directly impose on
400  //    those licensors and authors.  //    those licensors and authors.
401  //  //
402  //  All other non-permissive additional terms are considered "further  //  All other non-permissive additional terms are considered "further
403  //restrictions" within the meaning of section 10.  If the Program as you  //restrictions" within the meaning of section 10.  If the Program as you
404  //received it, or any part of it, contains a notice stating that it is  //received it, or any part of it, contains a notice stating that it is
405  //governed by this License along with a term that is a further  //governed by this License along with a term that is a further
406  //restriction, you may remove that term.  If a license document contains  //restriction, you may remove that term.  If a license document contains
407  //a further restriction but permits relicensing or conveying under this  //a further restriction but permits relicensing or conveying under this
408  //License, you may add to a covered work material governed by the terms  //License, you may add to a covered work material governed by the terms
409  //of that license document, provided that the further restriction does  //of that license document, provided that the further restriction does
410  //not survive such relicensing or conveying.  //not survive such relicensing or conveying.
411  //  //
412  //  If you add terms to a covered work in accord with this section, you  //  If you add terms to a covered work in accord with this section, you
413  //must place, in the relevant source files, a statement of the  //must place, in the relevant source files, a statement of the
414  //additional terms that apply to those files, or a notice indicating  //additional terms that apply to those files, or a notice indicating
415  //where to find the applicable terms.  //where to find the applicable terms.
416  //  //
417  //  Additional terms, permissive or non-permissive, may be stated in the  //  Additional terms, permissive or non-permissive, may be stated in the
418  //form of a separately written license, or stated as exceptions;  //form of a separately written license, or stated as exceptions;
419  //the above requirements apply either way.  //the above requirements apply either way.
420  //  //
421  //  8. Termination.  //  8. Termination.
422  //  //
423  //  You may not propagate or modify a covered work except as expressly  //  You may not propagate or modify a covered work except as expressly
424  //provided under this License.  Any attempt otherwise to propagate or  //provided under this License.  Any attempt otherwise to propagate or
425  //modify it is void, and will automatically terminate your rights under  //modify it is void, and will automatically terminate your rights under
426  //this License (including any patent licenses granted under the third  //this License (including any patent licenses granted under the third
427  //paragraph of section 11).  //paragraph of section 11).
428  //  //
429  //  However, if you cease all violation of this License, then your  //  However, if you cease all violation of this License, then your
430  //license from a particular copyright holder is reinstated (a)  //license from a particular copyright holder is reinstated (a)
431  //provisionally, unless and until the copyright holder explicitly and  //provisionally, unless and until the copyright holder explicitly and
432  //finally terminates your license, and (b) permanently, if the copyright  //finally terminates your license, and (b) permanently, if the copyright
433  //holder fails to notify you of the violation by some reasonable means  //holder fails to notify you of the violation by some reasonable means
434  //prior to 60 days after the cessation.  //prior to 60 days after the cessation.
435  //  //
436  //  Moreover, your license from a particular copyright holder is  //  Moreover, your license from a particular copyright holder is
437  //reinstated permanently if the copyright holder notifies you of the  //reinstated permanently if the copyright holder notifies you of the
438  //violation by some reasonable means, this is the first time you have  //violation by some reasonable means, this is the first time you have
439  //received notice of violation of this License (for any work) from that  //received notice of violation of this License (for any work) from that
440  //copyright holder, and you cure the violation prior to 30 days after  //copyright holder, and you cure the violation prior to 30 days after
441  //your receipt of the notice.  //your receipt of the notice.
442  //  //
443  //  Termination of your rights under this section does not terminate the  //  Termination of your rights under this section does not terminate the
444  //licenses of parties who have received copies or rights from you under  //licenses of parties who have received copies or rights from you under
445  //this License.  If your rights have been terminated and not permanently  //this License.  If your rights have been terminated and not permanently
446  //reinstated, you do not qualify to receive new licenses for the same  //reinstated, you do not qualify to receive new licenses for the same
447  //material under section 10.  //material under section 10.
448  //  //
449  //  9. Acceptance Not Required for Having Copies.  //  9. Acceptance Not Required for Having Copies.
450  //  //
451  //  You are not required to accept this License in order to receive or  //  You are not required to accept this License in order to receive or
452  //run a copy of the Program.  Ancillary propagation of a covered work  //run a copy of the Program.  Ancillary propagation of a covered work
453  //occurring solely as a consequence of using peer-to-peer transmission  //occurring solely as a consequence of using peer-to-peer transmission
454  //to receive a copy likewise does not require acceptance.  However,  //to receive a copy likewise does not require acceptance.  However,
455  //nothing other than this License grants you permission to propagate or  //nothing other than this License grants you permission to propagate or
456  //modify any covered work.  These actions infringe copyright if you do  //modify any covered work.  These actions infringe copyright if you do
457  //not accept this License.  Therefore, by modifying or propagating a  //not accept this License.  Therefore, by modifying or propagating a
458  //covered work, you indicate your acceptance of this License to do so.  //covered work, you indicate your acceptance of this License to do so.
459  //  //
460  //  10. Automatic Licensing of Downstream Recipients.  //  10. Automatic Licensing of Downstream Recipients.
461  //  //
462  //  Each time you convey a covered work, the recipient automatically  //  Each time you convey a covered work, the recipient automatically
463  //receives a license from the original licensors, to run, modify and  //receives a license from the original licensors, to run, modify and
464  //propagate that work, subject to this License.  You are not responsible  //propagate that work, subject to this License.  You are not responsible
465  //for enforcing compliance by third parties with this License.  //for enforcing compliance by third parties with this License.
466  //  //
467  //  An "entity transaction" is a transaction transferring control of an  //  An "entity transaction" is a transaction transferring control of an
468  //organization, or substantially all assets of one, or subdividing an  //organization, or substantially all assets of one, or subdividing an
469  //organization, or merging organizations.  If propagation of a covered  //organization, or merging organizations.  If propagation of a covered
470  //work results from an entity transaction, each party to that  //work results from an entity transaction, each party to that
471  //transaction who receives a copy of the work also receives whatever  //transaction who receives a copy of the work also receives whatever
472  //licenses to the work the party's predecessor in interest had or could  //licenses to the work the party's predecessor in interest had or could
473  //give under the previous paragraph, plus a right to possession of the  //give under the previous paragraph, plus a right to possession of the
474  //Corresponding Source of the work from the predecessor in interest, if  //Corresponding Source of the work from the predecessor in interest, if
475  //the predecessor has it or can get it with reasonable efforts.  //the predecessor has it or can get it with reasonable efforts.
476  //  //
477  //  You may not impose any further restrictions on the exercise of the  //  You may not impose any further restrictions on the exercise of the
478  //rights granted or affirmed under this License.  For example, you may  //rights granted or affirmed under this License.  For example, you may
479  //not impose a license fee, royalty, or other charge for exercise of  //not impose a license fee, royalty, or other charge for exercise of
480  //rights granted under this License, and you may not initiate litigation  //rights granted under this License, and you may not initiate litigation
481  //(including a cross-claim or counterclaim in a lawsuit) alleging that  //(including a cross-claim or counterclaim in a lawsuit) alleging that
482  //any patent claim is infringed by making, using, selling, offering for  //any patent claim is infringed by making, using, selling, offering for
483  //sale, or importing the Program or any portion of it.  //sale, or importing the Program or any portion of it.
484  //  //
485  //  11. Patents.  //  11. Patents.
486  //  //
487  //  A "contributor" is a copyright holder who authorizes use under this  //  A "contributor" is a copyright holder who authorizes use under this
488  //License of the Program or a work on which the Program is based.  The  //License of the Program or a work on which the Program is based.  The
489  //work thus licensed is called the contributor's "contributor version".  //work thus licensed is called the contributor's "contributor version".
490  //  //
491  //  A contributor's "essential patent claims" are all patent claims  //  A contributor's "essential patent claims" are all patent claims
492  //owned or controlled by the contributor, whether already acquired or  //owned or controlled by the contributor, whether already acquired or
493  //hereafter acquired, that would be infringed by some manner, permitted  //hereafter acquired, that would be infringed by some manner, permitted
494  //by this License, of making, using, or selling its contributor version,  //by this License, of making, using, or selling its contributor version,
495  //but do not include claims that would be infringed only as a  //but do not include claims that would be infringed only as a
496  //consequence of further modification of the contributor version.  For  //consequence of further modification of the contributor version.  For
497  //purposes of this definition, "control" includes the right to grant  //purposes of this definition, "control" includes the right to grant
498  //patent sublicenses in a manner consistent with the requirements of  //patent sublicenses in a manner consistent with the requirements of
499  //this License.  //this License.
500  //  //
501  //  Each contributor grants you a non-exclusive, worldwide, royalty-free  //  Each contributor grants you a non-exclusive, worldwide, royalty-free
502  //patent license under the contributor's essential patent claims, to  //patent license under the contributor's essential patent claims, to
503  //make, use, sell, offer for sale, import and otherwise run, modify and  //make, use, sell, offer for sale, import and otherwise run, modify and
504  //propagate the contents of its contributor version.  //propagate the contents of its contributor version.
505  //  //
506  //  In the following three paragraphs, a "patent license" is any express  //  In the following three paragraphs, a "patent license" is any express
507  //agreement or commitment, however denominated, not to enforce a patent  //agreement or commitment, however denominated, not to enforce a patent
508  //(such as an express permission to practice a patent or covenant not to  //(such as an express permission to practice a patent or covenant not to
509  //sue for patent infringement).  To "grant" such a patent license to a  //sue for patent infringement).  To "grant" such a patent license to a
510  //party means to make such an agreement or commitment not to enforce a  //party means to make such an agreement or commitment not to enforce a
511  //patent against the party.  //patent against the party.
512  //  //
513  //  If you convey a covered work, knowingly relying on a patent license,  //  If you convey a covered work, knowingly relying on a patent license,
514  //and the Corresponding Source of the work is not available for anyone  //and the Corresponding Source of the work is not available for anyone
515  //to copy, free of charge and under the terms of this License, through a  //to copy, free of charge and under the terms of this License, through a
516  //publicly available network server or other readily accessible means,  //publicly available network server or other readily accessible means,
517  //then you must either (1) cause the Corresponding Source to be so  //then you must either (1) cause the Corresponding Source to be so
518  //available, or (2) arrange to deprive yourself of the benefit of the  //available, or (2) arrange to deprive yourself of the benefit of the
519  //patent license for this particular work, or (3) arrange, in a manner  //patent license for this particular work, or (3) arrange, in a manner
520  //consistent with the requirements of this License, to extend the patent  //consistent with the requirements of this License, to extend the patent
521  //license to downstream recipients.  "Knowingly relying" means you have  //license to downstream recipients.  "Knowingly relying" means you have
522  //actual knowledge that, but for the patent license, your conveying the  //actual knowledge that, but for the patent license, your conveying the
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575  //combination as such.  //combination as such.
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603  //  15. Disclaimer of Warranty.  //  15. Disclaimer of Warranty.
604  //  //
605  //  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY  //  THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY
606  //APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT  //APPLICABLE LAW.  EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
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622  //PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),  //PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
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624  //SUCH DAMAGES.  //SUCH DAMAGES.
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626  //  17. Interpretation of Sections 15 and 16.  //  17. Interpretation of Sections 15 and 16.
627  //  //
628  //  If the disclaimer of warranty and limitation of liability provided  //  If the disclaimer of warranty and limitation of liability provided
629  //above cannot be given local legal effect according to their terms,  //above cannot be given local legal effect according to their terms,
630  //reviewing courts shall apply local law that most closely approximates  //reviewing courts shall apply local law that most closely approximates
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634  //  //
635  //                     END OF TERMS AND CONDITIONS  //                     END OF TERMS AND CONDITIONS
636  //  //
637  //            How to Apply These Terms to Your New Programs  //            How to Apply These Terms to Your New Programs
638  //  //
639  //  If you develop a new program, and you want it to be of the greatest  //  If you develop a new program, and you want it to be of the greatest
640  //possible use to the public, the best way to achieve this is to make it  //possible use to the public, the best way to achieve this is to make it
641  //free software which everyone can redistribute and change under these terms.  //free software which everyone can redistribute and change under these terms.
642  //  //
643  //  To do so, attach the following notices to the program.  It is safest  //  To do so, attach the following notices to the program.  It is safest
644  //to attach them to the start of each source file to most effectively  //to attach them to the start of each source file to most effectively
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646  //the "copyright" line and a pointer to where the full notice is found.  //the "copyright" line and a pointer to where the full notice is found.
647  //  //
648  //    <one line to give the program's name and a brief idea of what it does.>  //    <one line to give the program's name and a brief idea of what it does.>
649  //    Copyright (C) <year>  <name of author>  //    Copyright (C) <year>  <name of author>
650  //  //
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652  //    it under the terms of the GNU General Public License as published by  //    it under the terms of the GNU General Public License as published by
653  //    the Free Software Foundation, either version 3 of the License, or  //    the Free Software Foundation, either version 3 of the License, or
654  //    (at your option) any later version.  //    (at your option) any later version.
655  //  //
656  //    This program is distributed in the hope that it will be useful,  //    This program is distributed in the hope that it will be useful,
657  //    but WITHOUT ANY WARRANTY; without even the implied warranty of  //    but WITHOUT ANY WARRANTY; without even the implied warranty of
658  //    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the  //    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
659  //    GNU General Public License for more details.  //    GNU General Public License for more details.
660  //  //
661  //    You should have received a copy of the GNU General Public License  //    You should have received a copy of the GNU General Public License
662  //    along with this program.  If not, see <http://www.gnu.org/licenses/>.  //    along with this program.  If not, see <http://www.gnu.org/licenses/>.
663  //  //
664  //Also add information on how to contact you by electronic and paper mail.  //Also add information on how to contact you by electronic and paper mail.
665  //  //
666  //  If the program does terminal interaction, make it output a short  //  If the program does terminal interaction, make it output a short
667  //notice like this when it starts in an interactive mode:  //notice like this when it starts in an interactive mode:
668  //  //
669  //    <program>  Copyright (C) <year>  <name of author>  //    <program>  Copyright (C) <year>  <name of author>
670  //    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.  //    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
671  //    This is free software, and you are welcome to redistribute it  //    This is free software, and you are welcome to redistribute it
672  //    under certain conditions; type `show c' for details.  //    under certain conditions; type `show c' for details.
673  //  //
674  //The hypothetical commands `show w' and `show c' should show the appropriate  //The hypothetical commands `show w' and `show c' should show the appropriate
675  //parts of the General Public License.  Of course, your program's commands  //parts of the General Public License.  Of course, your program's commands
676  //might be different; for a GUI interface, you would use an "about box".  //might be different; for a GUI interface, you would use an "about box".
677  //  //
678  //  You should also get your employer (if you work as a programmer) or school,  //  You should also get your employer (if you work as a programmer) or school,
679  //if any, to sign a "copyright disclaimer" for the program, if necessary.  //if any, to sign a "copyright disclaimer" for the program, if necessary.
680  //For more information on this, and how to apply and follow the GNU GPL, see  //For more information on this, and how to apply and follow the GNU GPL, see
681  //<http://www.gnu.org/licenses/>.  //<http://www.gnu.org/licenses/>.
682  //  //
683  //  The GNU General Public License does not permit incorporating your program  //  The GNU General Public License does not permit incorporating your program
684  //into proprietary programs.  If your program is a subroutine library, you  //into proprietary programs.  If your program is a subroutine library, you
685  //may consider it more useful to permit linking proprietary applications with  //may consider it more useful to permit linking proprietary applications with
686  //the library.  If this is what you want to do, use the GNU Lesser General  //the library.  If this is what you want to do, use the GNU Lesser General
687  //Public License instead of this License.  But first, please read  //Public License instead of this License.  But first, please read
688  //<http://www.gnu.org/philosophy/why-not-lgpl.html>.  //<http://www.gnu.org/philosophy/why-not-lgpl.html>.
689  //-------------------------------------------------------------------------------------------------  //-------------------------------------------------------------------------------------------------
690  //--------------------------------------------------------------------------------  //--------------------------------------------------------------------------------
691  #include <stdio.h>  #include <stdio.h>
692    
693  #define NAMING_PREFIX    "SUBFUNC_PFACT_"  #define NAMING_PREFIX    "SUBFUNC_PFACT_"
694  #define SIEVE_SIZE       (2310)     /* 2 * 3 * 5 * 7 * 11 */  #define SIEVE_SIZE       (2310)     /* 2 * 3 * 5 * 7 * 11 */
695    
696  unsigned int pfacts[] = {2, 3, 5, 7, 11};  unsigned int pfacts[] = {2, 3, 5, 7, 11};
697  unsigned int sieve_table_a[SIEVE_SIZE];  unsigned int sieve_table_a[SIEVE_SIZE];
698  char *output_header[] =  char *output_header[] =
699     {     {
700     "//This file is an automatically-generated sieve table, generated by the",     "//This file is an automatically-generated sieve table, generated by the",
701     "//program \"sieve_gen.c\".",     "//program \"sieve_gen.c\".",
702     "//",     "//",
703     NULL     NULL
704     };     };
705  char *output_footer[] =  char *output_footer[] =
706     {     {
707     "//",     "//",
708     "//End of automatically-generated file.",     "//End of automatically-generated file.",
709     NULL     NULL
710     };     };
711    
712    
713  int main(int argc, char *argv[])  int main(int argc, char *argv[])
714     {     {
715     int i, j;     int i, j;
716     unsigned p, q;     unsigned p, q;
717     unsigned current_factor;     unsigned current_factor;
718     char **cptr;     char **cptr;
719            
720     //Initialize the sieve table. */     //Initialize the sieve table. */
721     for (i=0; i < SIEVE_SIZE; i++)     for (i=0; i < SIEVE_SIZE; i++)
722        {        {
723        sieve_table_a[i] = 1;        sieve_table_a[i] = 1;
724        }        }
725    
726     /* For each prime component, mark off all multiples. */     /* For each prime component, mark off all multiples. */
727     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
728        {        {
729        current_factor = pfacts[i];        current_factor = pfacts[i];
730    
731        p = 0;        p = 0;
732        while (p < SIEVE_SIZE)        while (p < SIEVE_SIZE)
733           {           {
734           sieve_table_a[p] = 0;           sieve_table_a[p] = 0;
735           p += current_factor;           p += current_factor;
736           }           }
737        }        }
738    
739     //Output the header.     //Output the header.
740     cptr = output_header;     cptr = output_header;
741     while (*cptr)     while (*cptr)
742        {        {
743        printf("%s\n", *cptr);        printf("%s\n", *cptr);
744        cptr++;        cptr++;
745        }        }
746    
747     //Convert the table of multiples into a table of differentials.  Each non-zero     //Convert the table of multiples into a table of differentials.  Each non-zero
748     //entry will be replaced by the distance to the next entry.     //entry will be replaced by the distance to the next entry.
749     for (i=0; i < SIEVE_SIZE; i++)     for (i=0; i < SIEVE_SIZE; i++)
750        {        {
751        if (sieve_table_a[i])        if (sieve_table_a[i])
752           {           {
753           p = (i+1) % SIEVE_SIZE;           p = (i+1) % SIEVE_SIZE;
754           while (sieve_table_a[p] == 0)           while (sieve_table_a[p] == 0)
755              {              {
756              sieve_table_a[i]++;              sieve_table_a[i]++;
757              p = (p+1) % SIEVE_SIZE;              p = (p+1) % SIEVE_SIZE;
758              }              }
759           }           }
760        }        }
761    
762     //Print out the table of differentials for reference.  Each entry will     //Print out the table of differentials for reference.  Each entry will
763     //be annotated with the prime factors that divide it.     //be annotated with the prime factors that divide it.
764     printf("//\n");     printf("//\n");
765     printf("//For reference, below is the uncompressed table of differentials.  Each table\n");     printf("//For reference, below is the uncompressed table of differentials.  Each table\n");
766     printf("//entry is annotated with the prime factors that divide it, if any.\n");     printf("//entry is annotated with the prime factors that divide it, if any.\n");
767     printf("//\n");     printf("//\n");
768     for (i=0; i < SIEVE_SIZE; i++)     for (i=0; i < SIEVE_SIZE; i++)
769        {        {
770        printf("//   sieve_table[%5d]: %3d    (", i, sieve_table_a[i]);        printf("//   sieve_table[%5d]: %3d    (", i, sieve_table_a[i]);
771        q = 0;        q = 0;
772        for (j=0; j<sizeof(pfacts)/sizeof(pfacts[0]); j++)        for (j=0; j<sizeof(pfacts)/sizeof(pfacts[0]); j++)
773           {           {
774           if ((i % pfacts[j]) == 0)           if ((i % pfacts[j]) == 0)
775              {              {
776              printf("[%d]", pfacts[j]);              printf("[%d]", pfacts[j]);
777              q = 1;              q = 1;
778              }              }
779           }           }
780        if (!q)        if (!q)
781           printf("NONE");           printf("NONE");
782        printf(")\n");        printf(")\n");
783        }        }
784     printf("//\n");     printf("//\n");
785    
786     //Now we compress the table and output the code proper.     //Now we compress the table and output the code proper.
787     printf("#define  %sN_SIEVE_FACTORS     (%d)\n",  NAMING_PREFIX, sizeof(pfacts)/sizeof(pfacts[0]));     printf("#define  %sN_SIEVE_FACTORS     (%d)\n",  NAMING_PREFIX, sizeof(pfacts)/sizeof(pfacts[0]));
788     printf("unsigned %ssieve_factors[] = {", NAMING_PREFIX);     printf("unsigned %ssieve_factors[] = {", NAMING_PREFIX);
789     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)     for (i=0; i<sizeof(pfacts)/sizeof(pfacts[0]); i++)
790        {        {
791        printf("%d", pfacts[i]);        printf("%d", pfacts[i]);
792        if (i != (sizeof(pfacts)/sizeof(pfacts[0]) - 1))        if (i != (sizeof(pfacts)/sizeof(pfacts[0]) - 1))
793           printf(",");           printf(",");
794        }        }
795    
796     printf("}\n");     printf("}\n");
797     printf("//\n");     printf("//\n");
798     q = 0;     q = 0;
799     for (i=0; i < SIEVE_SIZE; i++)     for (i=0; i < SIEVE_SIZE; i++)
800        if (sieve_table_a[i])        if (sieve_table_a[i])
801           q++;           q++;
802     printf("#define  %sN_SIEVE     (%u)\n",  NAMING_PREFIX, j);     printf("#define  %sN_SIEVE     (%u)\n",  NAMING_PREFIX, j);
803     printf("unsigned %ssieve[] = {\n", NAMING_PREFIX);     printf("unsigned %ssieve[] = {\n", NAMING_PREFIX);
804     j = 0;     j = 0;
805     for (i=0; i < SIEVE_SIZE; i++)     for (i=0; i < SIEVE_SIZE; i++)
806        {        {
807        if (sieve_table_a[i])        if (sieve_table_a[i])
808           {           {
809           printf("   %3d", sieve_table_a[i]);           printf("   %3d", sieve_table_a[i]);
810           if (j==q)           if (j==q)
811              printf(" ");              printf(" ");
812           else           else
813              printf(",");              printf(",");
814           printf(" /* [%5d] (was [%d]) */\n", j, i);           printf(" /* [%5d] (was [%d]) */\n", j, i);
815           j++;           j++;
816           }           }
817        }        }
818     printf("     };\n");     printf("     };\n");
819    
820     //Output the footer.     //Output the footer.
821     cptr = output_footer;     cptr = output_footer;
822     while (*cptr)     while (*cptr)
823        {        {
824        printf("%s\n", *cptr);        printf("%s\n", *cptr);
825        cptr++;        cptr++;
826        }        }
827    
828     return(0);     return(0);
829     }     }
830    
831  //  //
832  //******************************************************************************************************  //******************************************************************************************************
833  //$Log: sieve_gen.c,v $  //$Log: sieve_gen.c,v $
834  //Revision 1.3  2003/04/16 07:02:06  dtashley  //Revision 1.3  2003/04/16 07:02:06  dtashley
835  //Spelling of Greek name corrected to Eratosthenes from incorrect Erastothenes.  //Spelling of Greek name corrected to Eratosthenes from incorrect Erastothenes.
836  //  //
837  //Revision 1.2  2003/04/15 22:12:08  dtashley  //Revision 1.2  2003/04/15 22:12:08  dtashley
838  //This utility is finished and has generated a satisfactory table, which  //This utility is finished and has generated a satisfactory table, which
839  //will be part of the 'C' code of the CGI program.  //will be part of the 'C' code of the CGI program.
840  //  //
841  //Revision 1.1  2003/04/15 20:01:26  dtashley  //Revision 1.1  2003/04/15 20:01:26  dtashley
842  //Initial checkin.  //Initial checkin.
843  //******************************************************************************************************  //******************************************************************************************************
844  //End of file SIEVE_GEN.C  //End of file SIEVE_GEN.C

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