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Added asir2018 for implementing full-gmp asir.

/*
 * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED 
 * All rights reserved.
 * 
 * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
 * non-exclusive and royalty-free license to use, copy, modify and
 * redistribute, solely for non-commercial and non-profit purposes, the
 * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
 * conditions of this Agreement. For the avoidance of doubt, you acquire
 * only a limited right to use the SOFTWARE hereunder, and FLL or any
 * third party developer retains all rights, including but not limited to
 * copyrights, in and to the SOFTWARE.
 * 
 * (1) FLL does not grant you a license in any way for commercial
 * purposes. You may use the SOFTWARE only for non-commercial and
 * non-profit purposes only, such as academic, research and internal
 * business use.
 * (2) The SOFTWARE is protected by the Copyright Law of Japan and
 * international copyright treaties. If you make copies of the SOFTWARE,
 * with or without modification, as permitted hereunder, you shall affix
 * to all such copies of the SOFTWARE the above copyright notice.
 * (3) An explicit reference to this SOFTWARE and its copyright owner
 * shall be made on your publication or presentation in any form of the
 * results obtained by use of the SOFTWARE.
 * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
 * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
 * for such modification or the source code of the modified part of the
 * SOFTWARE.
 * 
 * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
 * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
 * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
 * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
 * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
 * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
 * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
 * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
 * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
 * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
 * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
 * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
 * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
 * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
 * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
 * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
 * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
 *
 * $OpenXM: OpenXM_contrib2/asir2018/fft/fft_primes.c,v 1.1 2018/09/19 05:45:07 noro Exp $
*/
#include "dft.h"

struct PrimesS Primes[NPrimes+1] = {
#if !defined(USE_FLOAT)
{536813569,234750831,29,13},
{536752129,402492685,29,12},
{536743937,186329165,29,12},
{536719361,95378865,29,12},
{536702977,245581677,29,12},
{536690689,9739040,29,14},
{536641537,295492251,29,15},
{536616961,393690063,29,13},
{536608769,291010677,29,18},
{536596481,103014380,29,12},
{536547329,239759961,29,12},
{536543233,236837218,29,16},
{536494081,476075671,29,14},
{536399873,298259227,29,12},
{536383489,405349448,29,12},
{536375297,202365348,29,12},
{536350721,181497148,29,12},
{536338433,331699927,29,13},
{536322049,263663385,29,13},
{536272897,151749197,29,13},
{536260609,3883278,29,12},
{536215553,360579775,29,17},
{536174593,172073969,29,13},
{536166401,94615858,29,14},
{536137729,535865804,29,12},
{536129537,413425539,29,12},
{536113153,237345802,29,12},
{536092673,213571388,29,13},
{536027137,26178280,29,13},
{536002561,531281091,29,14},
{535982081,257807731,29,12},
{535965697,19015705,29,12},
{535920641,394768681,29,15},
{535797761,30231376,29,13},
{535756801,373046537,29,16},
{535719937,205344434,29,12},
{535699457,247444914,29,13},
{535687169,109462788,29,12},
{535621633,212917624,29,12},
{535597057,54912267,29,12},
{535576577,138342549,29,14},
{535515137,167040109,29,12},
{535490561,218849557,29,12},
{535461889,10973144,29,15},
{535453697,30144640,29,13},
{535449601,299267429,29,12},
{535326721,48662331,29,12},
{535318529,507537577,29,12},
{535232513,151198643,29,16},
{535203841,310252406,29,12},
{535183361,441637121,29,14},
{535142401,41736754,29,13},
{535121921,24248074,29,12},
{535109633,365538970,29,13},
{535105537,338724195,29,12},
{535093249,27780626,29,13},
{535048193,367851802,29,12},
{535023617,108512195,29,12},
{534970369,92919075,29,16},
{534949889,250488631,29,12},
{534896641,8561888,29,13},
{534888449,499592811,29,14},
{534827009,89412539,29,12},
{534724609,192565215,29,14},
{534630401,313575656,29,12},
{534519809,233654795,29,13},
{534491137,49493188,29,12},
{534478849,407005633,29,15},
{534458369,56761679,29,12},
{534433793,5912048,29,12},
{534323201,286981770,29,13},
{534294529,64209761,29,12},
{534274049,399311455,29,13},
{534224897,369824991,29,13},
{534122497,400238577,29,12},
{534102017,430622136,29,14},
{534089729,276923246,29,12},
{534085633,410141529,29,15},
{534061057,451409458,29,13},
{534024193,55721226,29,12},
{533962753,446702722,29,13},
{533905409,398786932,29,14},
{533880833,525382882,29,13},
{533790721,514717025,29,16},
{533757953,519091809,29,15},
{533692417,355249309,29,15},
{533671937,467815537,29,12},
{533549057,265081597,29,12},
{533512193,504066982,29,14},
{533471233,317623602,29,13},
{533463041,13956582,29,18},
{533426177,283734551,29,12},
{533389313,496917437,29,13},
{533372929,61947542,29,13},
{533364737,96276431,29,15},
{533348353,140156098,29,14},
{533286913,397631479,29,12},
{533278721,968437,29,12},
{533241857,225492331,29,13},
{533082113,365456005,29,12},
{533041153,54952045,29,12},
{532996097,381636357,29,13},
{532992001,113979610,29,12},
{532983809,420752168,29,12},
{532959233,466760849,29,12},
{532942849,260450629,29,12},
{532930561,500039725,29,13},
{532873217,206165893,29,16},
{532860929,384848392,29,12},
{532856833,177804426,29,14},
{532787201,35516007,29,12},
{532746241,390580365,29,12},
{532738049,187427241,29,12},
{532709377,271440396,29,15},
{532541441,186617938,29,12},
{532500481,401817699,29,12},
{532451329,67560915,29,12},
{532389889,370398874,29,13},
{532357121,91402460,29,13},
{532283393,332791262,29,17},
{532267009,309964764,29,14},
{532258817,76655285,29,13},
{532193281,519383107,29,13},
{532160513,192671188,29,13},
{531910657,174287749,29,12},
{531886081,68947091,29,12},
{531767297,48982485,29,13},
{531763201,62929312,29,12},
{531750913,31507349,29,13},
{531726337,354320699,29,15},
{531701761,13466183,29,13},
{531652609,378858479,29,13},
{531628033,431112292,29,20},
{531582977,145978450,29,12},
{531578881,380511470,29,14},
{531542017,224186811,29,12},
{531443713,182796718,29,12},
{531394561,224003911,29,12},
{531161089,458901437,29,13},
{531005441,480568876,29,15},
{530993153,64256406,29,12},
{530989057,389241417,29,14},
{530952193,158449753,29,12},
{530890753,382883181,29,14},
{530870273,351805988,29,12},
{530780161,128073820,29,12},
{530767873,421524092,29,13},
{530759681,99667442,29,14},
{530706433,334734263,29,12},
{530698241,59124544,29,12},
{530649089,27137761,29,12},
{530595841,373602035,29,14},
{530546689,75947392,29,15},
{530526209,443629729,29,12},
{530464769,309461624,29,14},
{530423809,489388995,29,13},
{530362369,162078175,29,12},
{530354177,155102383,29,12},
{530276353,280548312,29,13},
{530145281,203735144,29,13},
{530010113,105794167,29,12},
{529985537,245095103,29,12},
{529960961,112843371,29,12},
{529944577,31484364,29,12},
{529932289,422300857,29,13},
{529924097,240319971,29,17},
{529907713,249806358,29,14},
{529899521,171407680,29,13},
{529887233,451762810,29,12},
{529821697,399291405,29,12},
{529809409,334691335,29,14},
{529735681,177639985,29,13},
{529727489,499429834,29,16},
{529715201,304468764,29,12},
{529702913,188606745,29,13},
{529686529,155936968,29,13},
{529678337,347960918,29,14},
{529420289,443500355,29,12},
{529391617,387255982,29,13},
{529285121,475338991,29,14},
{529268737,447629271,29,18},
{529186817,144350398,29,14},
{529182721,17103434,29,12},
{529149953,324500000,29,12},
{529145857,194451981,29,13},
{529088513,496830832,29,14},
{529084417,527528913,29,12},
{529039361,236831843,29,15},
{528986113,391026449,29,12},
{528977921,244430624,29,12},
{528916481,372519085,29,13},
{528867329,125235345,29,13},
{528818177,42558244,29,13},
{528777217,416856100,29,15},
{528752641,407110945,29,13},
{528703489,78929261,29,13},
{528691201,37070795,29,12},
{528670721,205306859,29,13},
{528633857,347691021,29,12},
{528617473,284420112,29,12},
{528609281,446362415,29,12},
{528531457,301183141,29,14},
{528519169,362135674,29,12},
{528445441,252891858,29,12},
{528437249,320488771,29,12},
{528424961,388431539,29,13},
{528408577,125859191,29,13},
{528351233,123238771,29,17},
{528347137,240359114,29,12},
{528310273,99523343,29,13},
{528265217,274448847,29,12},
{528252929,205552633,29,15},
{528228353,49731311,29,13},
{528138241,222497944,29,14},
{528064513,353564525,29,13},
{527994881,258610070,29,12},
{527941633,153777954,29,14},
{527921153,341143862,29,12},
{527917057,119139095,29,13},
{527880193,215363327,29,12},
{527859713,282970170,29,15},
{527855617,70974912,29,12},
{527831041,105259710,29,12},
{527810561,153035633,29,14},
{527794177,263292489,29,15},
{527708161,478454952,29,12},
{527650817,415227696,29,12},
{527634433,106482314,29,12},
{527585281,12710015,29,12},
{527572993,182147065,29,13},
{527527937,386656498,29,12},
{527491073,177859742,29,13},
{527441921,498832354,29,13},
{527380481,283989651,29,12},
{527351809,185527120,29,14},
{527339521,238901903,29,12},
{527269889,476081970,29,15},
{527241217,509929638,29,12},
{527220737,271149489,29,14},
{527196161,449736588,29,13},
{527167489,393867039,29,12},
{527155201,93845502,29,14},
{527093761,355183528,29,12},
{527081473,359281197,29,13},
{527024129,95834835,29,14},
{527020033,128632586,29,12},
{527011841,169675989,29,12},
{526999553,510223322,29,13},
{526970881,496538016,29,12},
{526934017,143107519,29,13},
{526876673,510218342,29,15},
{526852097,245591409,29,13},
{526835713,288297328,29,13},
{526766081,22756703,29,12},
{526712833,209744801,29,16},
{526675969,462001796,29,12},
{526651393,460697964,29,12},
{526594049,503479282,29,12},
{526544897,384456574,29,12},
{526508033,205234254,29,13},
{526503937,93161865,29,12},
{526483457,120945568,29,15},
{526381057,426362406,29,12},
{526368769,498498502,29,14},
{526360577,197358724,29,13},
{526344193,203866875,29,13},
{526336001,353505783,29,14},
{526163969,268968679,29,13},
{526135297,33009686,29,12},
{526123009,492037862,29,18},
{526090241,38097857,29,15},
{526053377,359192783,29,12},
{526036993,234709340,29,12},
{525987841,192176488,29,12},
{525950977,271971370,29,13},
{525938689,70147530,29,12},
{525918209,153170577,29,13},
{525893633,497323780,29,15},
{525889537,241240955,29,12},
{525803521,78691063,29,13},
{525770753,345150326,29,13},
{525729793,235231490,29,17},
{525721601,359269745,29,13},
{525705217,451424637,29,13},
{525684737,267601195,29,12},
{525643777,54720536,29,12},
{525570049,151940388,29,12},
{525561857,55823294,29,12},
{525545473,280285844,29,12},
{525508609,65551431,29,13},
{525463553,511761474,29,12},
{525434881,100562391,29,15},
{525426689,377726848,29,13},
{525422593,418306078,29,12},
{525414401,103217264,29,12},
{525365249,519167561,29,12},
{525316097,244029759,29,12},
{525275137,414582674,29,12},
{525213697,414228473,29,13},
{525176833,31893173,29,12},
{525156353,213871233,29,14},
{525078529,170709396,29,12},
{525053953,156546501,29,12},
{525045761,121241554,29,12},
{525033473,171046279,29,13},
{524943361,444157350,29,17},
{524906497,451780592,29,12},
{524824577,490936372,29,12},
{524812289,445426994,29,19},
{524771329,153636156,29,13},
{524763137,262558621,29,14},
{524726273,151796782,29,12},
{524640257,330310672,29,13},
{524615681,297952425,29,16},
{524587009,345295489,29,12},
{524562433,364352915,29,12},
{524554241,8035532,29,12},
{524476417,521255175,29,13},
{524455937,161466684,29,12},
{524431361,385063535,29,12},
{524414977,61376988,29,12},
{524390401,144879015,29,12},
{524369921,376234655,29,14},
{524357633,101705772,29,12},
{524353537,256100270,29,16},
{524279809,491597230,29,13},
{524267521,162143125,29,12},
{524185601,391616053,29,12},
{524111873,118955646,29,12},
{524095489,167555862,29,12},
{524075009,205548402,29,14},
{524046337,262542804,29,12},
{524001281,438247812,29,13},
{523927553,83903209,29,15},
{523911169,179630523,29,14},
{523866113,382187429,29,12},
{523825153,463970086,29,12},
{523780097,266715097,29,14},
{523767809,385448602,29,12},
{523681793,312792167,29,14},
{523677697,106608170,29,12},
{523620353,405508632,29,12},
{523595777,227596160,29,12},
{523591681,248266375,29,13},
{523534337,9364682,29,15},
{523509761,119658030,29,13},
{523468801,454571231,29,15},
{523399169,114111888,29,12},
{523333633,334416534,29,12},
{523251713,281360128,29,12},
{523227137,52022956,29,12},
{523124737,101065710,29,14},
{523067393,151036442,29,13},
{523063297,129905065,29,12},
{522956801,210644465,29,12},
{522919937,90058993,29,13},
{522883073,376814398,29,12},
{522878977,15989062,29,15},
{522833921,226090368,29,12},
{522760193,322708140,29,12},
{522719233,462028295,29,12},
{522698753,86435874,29,14},
{522670081,66147113,29,12},
{522649601,272332284,29,16},
{522620929,510678172,29,12},
{522551297,71457463,29,15},
{522539009,401399612,29,12},
{522489857,300052324,29,12},
{522424321,379581274,29,12},
{522391553,487754974,29,12},
{522387457,32868492,29,16},
{522375169,179444862,29,12},
{522350593,266918419,29,12},
{522293249,359145594,29,12},
{522289153,267887916,29,15},
{522268673,515450621,29,12},
{522117121,498787114,29,13},
{522080257,259863226,29,12},
{522047489,203935887,29,12},
{522022913,24640555,29,12},
{521945089,242212466,29,14},
{521920513,441801287,29,13},
{521875457,429283989,29,12},
{521801729,396583218,29,12},
{521699329,418000272,29,15},
{521678849,176318762,29,12},
{521588737,252199435,29,12},
{521576449,34549007,29,13},
{521551873,182513665,29,14},
{521502721,326968219,29,15},
{521445377,240037125,29,13},
{521433089,107791581,29,12},
{521342977,63077161,29,12},
{521306113,306568491,29,15},
{521261057,307059240,29,12},
{521175041,57042970,29,15},
{521072641,415318907,29,12},
{521035777,225333835,29,13},
{521011201,465255179,29,17},
{520978433,401669157,29,15},
{520929281,199105997,29,14},
{520916993,333762079,29,12},
{520888321,163482518,29,13},
{520830977,261686263,29,14},
{520818689,109447549,29,12},
{520777729,376022820,29,12},
{520716289,288753488,29,15},
{520704001,196249287,29,12},
{520585217,200343854,29,15},
{520581121,224603536,29,12},
{520523777,432281942,29,12},
{520511489,215058750,29,13},
{520499201,96434139,29,12},
{520482817,337476859,29,12},
{520462337,128704813,29,13},
{520445953,318299315,29,13},
{520347649,171653083,29,13},
{520298497,139753152,29,13},
{520286209,169344389,29,12},
{520212481,444608942,29,12},
{520101889,176830803,29,13},
{520081409,128106421,29,12},
{520040449,199747947,29,12},
{520007681,437966152,29,12},
{519966721,213997689,29,12},
{519929857,357981479,29,15},
{519917569,39818012,29,12},
{519868417,319474804,29,12},
{519823361,513563972,29,13},
{519786497,402697240,29,12},
{519770113,38904509,29,12},
{519745537,508942182,29,12},
{519725057,59186402,29,13},
{519684097,134011769,29,14},
{519659521,399952843,29,13},
{519651329,329109657,29,14},
{519622657,123978045,29,12},
{519585793,141377993,29,14},
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{7434241,4555913,23,12},
{7413761,2014433,23,13},
{7360513,2204332,23,12},
{7352321,1292238,23,12},
{7340033,5406612,23,20},
{7229441,3547187,23,12},
{7200769,5695619,23,13},
{7188481,808181,23,12},
{7168001,6580369,23,13},
{7139329,6566353,23,12},
{7114753,2841309,23,12},
{7090177,6334133,23,12},
{7065601,2971474,23,12},
{7057409,5350163,23,12},
{6955009,2382666,23,13},
{6946817,1605231,23,17},
{6942721,2416777,23,12},
{6885377,4948460,23,12},
{6873089,859592,23,13},
{6782977,2092473,23,15},
{6750209,4393336,23,16},
{6737921,1554707,23,12},
{6725633,2184291,23,13},
{6684673,2824386,23,17},
{6635521,5913944,23,14},
{6602753,5067760,23,14},
{6578177,6175586,23,13},
{6574081,1163930,23,12},
{6537217,3326255,23,14},
{6463489,5716674,23,13},
{6455297,556661,23,15},
{6402049,1461931,23,12},
{6393857,4899224,23,12},
{6381569,325849,23,13},
{6320129,3413025,23,12},
{6307841,6163736,23,14},
{6258689,390228,23,15},
{6254593,3713878,23,12},
{6234113,3983231,23,13},
{6230017,4132879,23,12},
{6209537,3499870,23,14},
{6156289,4871639,23,12},
{6144001,4529164,23,14},
{6111233,4154923,23,14},
{6086657,207637,23,13},
{6082561,2910697,23,12},
{6008833,4766377,23,12},
{6000641,3987685,23,12},
{5984257,638854,23,12},
{5951489,575869,23,12},
{5910529,907356,23,12},
{5865473,3726352,23,15},
{5849089,171715,23,14},
{5824513,1832942,23,13},
{5804033,3684182,23,12},
{5779457,4498684,23,12},
{5767169,4527514,23,19},
{5763073,2599598,23,12},
{5738497,3012505,23,12},
{5726209,4578065,23,13},
{5677057,2233973,23,13},
{5656577,1556450,23,12},
{5632001,3513414,23,12},
{5591041,1440990,23,12},
{5578753,4151573,23,13},
{5517313,5287434,23,12},
{5492737,105629,23,12},
{5431297,3907858,23,13},
{5410817,5363414,23,12},
{5398529,3491766,23,13},
{5369857,1240969,23,12},
{5345281,2856158,23,12},
{5337089,3703525,23,12},
{5324801,3366130,23,14},
{5308417,1978857,23,16},
{5287937,5250807,23,12},
{5246977,2760355,23,12},
{5234689,3212580,23,13},
{5222401,2942007,23,12},
{5189633,1687144,23,12},
{5140481,5098129,23,12},
{5066753,3504441,23,12},
{5050369,3842087,23,12},
{4907009,1401718,23,13},
{4902913,964213,23,12},
{4882433,126932,23,15},
{4866049,4006615,23,14},
{4845569,2229907,23,12},
{4816897,1479767,23,15},
{4780033,451374,23,12},
{4771841,658263,23,12},
{4759553,4101363,23,13},
{4694017,4057263,23,13},
{4632577,3409912,23,12},
{4620289,4435914,23,15},
{4595713,2051172,23,13},
{4550657,826482,23,12},
{4513793,3236392,23,13},
{4476929,3447200,23,12},
{4464641,1784381,23,13},
{4452353,1306468,23,12},
{4435969,2091564,23,12},
{4427777,4245509,23,12},
{4423681,4157823,23,15},
{4366337,2016741,23,13},
{4304897,300642,23,12},
{4300801,4269574,23,13},
{4263937,1452203,23,12},
{4206593,3417158,23,12},
{4169729,312302,22,13},
{4165633,2604684,22,12},
{4141057,3475840,22,12},
{4120577,2965400,22,13},
{4104193,2458989,22,13},
{4079617,2315893,22,14},
{4046849,460053,22,14},
{4005889,839024,22,13},
{3993601,2436417,22,12},
{3985409,3750482,22,12},
{3960833,2187556,22,12},
{3956737,2276656,22,13},
{3944449,3649928,22,12},
{3919873,2648749,22,12},
{3911681,2283101,22,12},
{3870721,543032,22,12},
{3850241,2716667,22,14},
{3735553,722233,22,16},
{3690497,3604458,22,12},
{3686401,3601163,22,14},
{3612673,3338110,22,13},
{3604481,193403,22,16},
{3588097,3246144,22,14},
{3543041,1668344,22,12},
{3526657,1047403,22,12},
{3489793,2577905,22,14},
{3469313,1583884,22,12},
{3452929,806490,22,12},
{3428353,2126521,22,12},
{3420161,2078757,22,12},
{3391489,1485981,22,14},
{3383297,237235,22,13},
{3305473,2973853,22,12},
{3280897,2606620,22,12},
{3260417,2805450,22,14},
{3219457,3167868,22,13},
{3198977,36978,22,12},
{3194881,1426283,22,14},
{3174401,2402789,22,12},
{3133441,423280,22,12},
{3076097,1063691,22,12},
{3072001,2884468,22,13},
{3022849,472837,22,13},
{3002369,434260,22,12},
{2936833,2293128,22,12},
{2912257,77724,22,12},
{2875393,103704,22,13},
{2768897,11359,22,14},
{2756609,2543113,22,12},
{2752513,2483664,22,17},
{2715649,1945821,22,12},
{2707457,1200346,22,12},
{2654209,2176633,22,15},
{2641921,2270706,22,12},
{2592769,2134423,22,12},
{2572289,1117898,22,14},
{2543617,1118662,22,12},
{2486273,2291237,22,12},
{2482177,2291731,22,13},
{2469889,297329,22,12},
{2437121,1904322,22,12},
{2424833,1836810,22,16},
{2387969,999089,22,12},
{2363393,399226,22,12},
{2314241,422736,22,12},
{2297857,589656,22,12},
{2277377,486428,22,14},
{2236417,1935978,22,13},
{2101249,1339057,22,12},
{2056193,923804,21,13},
{2052097,1125320,21,12},
{1990657,1893144,21,13},
{1908737,1734742,21,13},
{1892353,506921,21,13},
{1847297,1172190,21,12},
{1843201,1043343,21,13},
{1810433,1075944,21,13},
{1794049,1608919,21,13},
{1785857,872740,21,14},
{1769473,514853,21,16},
{1748993,570818,21,12},
{1732609,1627341,21,12},
{1724417,443029,21,12},
{1720321,1030518,21,14},
{1712129,173016,21,13},
{1708033,1614755,21,12},
{1662977,126725,21,13},
{1597441,869319,21,13},
{1589249,26134,21,14},
{1503233,1194989,21,12},
{1454081,167029,21,12},
{1437697,89503,21,12},
{1417217,189813,21,13},
{1376257,906980,21,16},
{1355777,1218448,21,12},
{1318913,507647,21,13},
{1253377,650210,21,13},
{1196033,240870,21,14},
{1191937,879692,21,12},
{1179649,608817,21,17},
{1146881,573655,21,15},
{1130497,297764,21,14},
{1097729,306786,21,14},
{1093633,172277,21,12},
{1073153,916028,21,13},
{1032193,396059,20,14},
{995329,408789,20,12},
{974849,709671,20,13},
{962561,260290,20,12},
{946177,295553,20,12},
{925697,199226,20,13},
{921601,485466,20,12},
{790529,55460,20,12},
{786433,11837,20,18},
{778241,117636,20,13},
{765953,534230,20,12},
{737281,731492,20,14},
{724993,202567,20,12},
{675841,47755,20,12},
{667649,250583,20,12},
{643073,134098,20,12},
{638977,310979,20,14},
{577537,396822,20,12},
{557057,284046,20,15},
{520193,439579,19,12},
{495617,236411,19,12},
{471041,231520,19,12},
{430081,150326,19,12},
{417793,324366,19,13},
{380929,206232,19,12},
{331777,4477,19,12},
{319489,227794,19,13},
{307201,71105,19,12},
{286721,161908,19,13},
{270337,101045,19,13},
{249857,48701,18,12},
{188417,164329,18,13},
{184321,155567,18,12},
{176129,67451,18,12},
{163841,142754,18,15},
{151553,38298,18,12},
{147457,101599,18,14},
{114689,57361,17,14},
{86017,17710,17,12},
{65537,53761,17,16},
{61441,30111,16,12},
{40961,4971,16,13},
{12289,9814,14,12},
{0,0,0,0},
};

#define MAX_D 26

static int blen_prod_fftprime[MAX_D+1] =
{375772,375772,375772,375772,
 375772,375772,375772,375772,
 375772,375772,375772,375772,
 375772,186706,92384,46626,
 23388,11701,5783,2940,
 1509,771,276,85,
 57,29,29};

/*
   d1 = deg(f1), n1 = |f1|oo,
   d2 = deg(f2), n2 = |f2|oo
   return 1 if sufficiently many fft_primes.
          0 if not.
*/

int int_bits(int);

int fft_available(int d1,int n1,int d2,int n2)
{
  int dmin,bound,dlen;

  dmin = d1>d2?d2:d1;
  bound = n1+n2+int_bits(dmin)+1;
  dlen = int_bits(d1+d2);
  if ( dlen > MAX_D )
    return 0;
  else if ( blen_prod_fftprime[dlen] <= bound )
    return 0;
  else
    return 1;
}

void get_fft_prime(int index,int *p,int *d)
{
  if ( index < 0 || index >= NPrimes ) {
    *p = 0; *d = 0;
  } else {
    *p = Primes[index].prime; *d = Primes[index].d;
  }
}