Annotation of OpenXM_contrib2/asir2000/fft/fft_primes.c, Revision 1.5
1.2 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.3 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.5 ! ohara 48: * $OpenXM: OpenXM_contrib2/asir2000/fft/fft_primes.c,v 1.4 2001/10/09 01:36:16 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "dft.h"
51:
52: struct PrimesS Primes[NPrimes+1] = {
1.5 ! ohara 53: #if !defined(USE_FLOAT)
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13188: {17231873,7515831,25,12},
13189: {17182721,7753846,25,12},
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13191: {17059841,4332185,25,12},
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13196: {16900097,15478463,25,13},
13197: {16863233,16522103,25,12},
13198: {16801793,8125281,25,13},
13199: #endif
13200: {16760833,15385313,24,14},
13201: {16736257,894396,24,13},
13202: {16699393,12391510,24,12},
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13537: {5738497,3012505,23,12},
13538: {5726209,4578065,23,13},
13539: {5677057,2233973,23,13},
13540: {5656577,1556450,23,12},
13541: {5632001,3513414,23,12},
13542: {5591041,1440990,23,12},
13543: {5578753,4151573,23,13},
13544: {5517313,5287434,23,12},
13545: {5492737,105629,23,12},
13546: {5431297,3907858,23,13},
13547: {5410817,5363414,23,12},
13548: {5398529,3491766,23,13},
13549: {5369857,1240969,23,12},
13550: {5345281,2856158,23,12},
13551: {5337089,3703525,23,12},
13552: {5324801,3366130,23,14},
13553: {5308417,1978857,23,16},
13554: {5287937,5250807,23,12},
13555: {5246977,2760355,23,12},
13556: {5234689,3212580,23,13},
13557: {5222401,2942007,23,12},
13558: {5189633,1687144,23,12},
13559: {5140481,5098129,23,12},
13560: {5066753,3504441,23,12},
13561: {5050369,3842087,23,12},
13562: {4907009,1401718,23,13},
13563: {4902913,964213,23,12},
13564: {4882433,126932,23,15},
13565: {4866049,4006615,23,14},
13566: {4845569,2229907,23,12},
13567: {4816897,1479767,23,15},
13568: {4780033,451374,23,12},
13569: {4771841,658263,23,12},
13570: {4759553,4101363,23,13},
13571: {4694017,4057263,23,13},
13572: {4632577,3409912,23,12},
13573: {4620289,4435914,23,15},
13574: {4595713,2051172,23,13},
13575: {4550657,826482,23,12},
13576: {4513793,3236392,23,13},
13577: {4476929,3447200,23,12},
13578: {4464641,1784381,23,13},
13579: {4452353,1306468,23,12},
13580: {4435969,2091564,23,12},
13581: {4427777,4245509,23,12},
13582: {4423681,4157823,23,15},
13583: {4366337,2016741,23,13},
13584: {4304897,300642,23,12},
13585: {4300801,4269574,23,13},
13586: {4263937,1452203,23,12},
13587: {4206593,3417158,23,12},
13588: {4169729,312302,22,13},
13589: {4165633,2604684,22,12},
13590: {4141057,3475840,22,12},
13591: {4120577,2965400,22,13},
13592: {4104193,2458989,22,13},
13593: {4079617,2315893,22,14},
13594: {4046849,460053,22,14},
13595: {4005889,839024,22,13},
13596: {3993601,2436417,22,12},
13597: {3985409,3750482,22,12},
13598: {3960833,2187556,22,12},
13599: {3956737,2276656,22,13},
13600: {3944449,3649928,22,12},
13601: {3919873,2648749,22,12},
13602: {3911681,2283101,22,12},
13603: {3870721,543032,22,12},
13604: {3850241,2716667,22,14},
13605: {3735553,722233,22,16},
13606: {3690497,3604458,22,12},
13607: {3686401,3601163,22,14},
13608: {3612673,3338110,22,13},
13609: {3604481,193403,22,16},
13610: {3588097,3246144,22,14},
13611: {3543041,1668344,22,12},
13612: {3526657,1047403,22,12},
13613: {3489793,2577905,22,14},
13614: {3469313,1583884,22,12},
13615: {3452929,806490,22,12},
13616: {3428353,2126521,22,12},
13617: {3420161,2078757,22,12},
13618: {3391489,1485981,22,14},
13619: {3383297,237235,22,13},
13620: {3305473,2973853,22,12},
13621: {3280897,2606620,22,12},
13622: {3260417,2805450,22,14},
13623: {3219457,3167868,22,13},
13624: {3198977,36978,22,12},
13625: {3194881,1426283,22,14},
13626: {3174401,2402789,22,12},
13627: {3133441,423280,22,12},
13628: {3076097,1063691,22,12},
13629: {3072001,2884468,22,13},
13630: {3022849,472837,22,13},
13631: {3002369,434260,22,12},
13632: {2936833,2293128,22,12},
13633: {2912257,77724,22,12},
13634: {2875393,103704,22,13},
13635: {2768897,11359,22,14},
13636: {2756609,2543113,22,12},
13637: {2752513,2483664,22,17},
13638: {2715649,1945821,22,12},
13639: {2707457,1200346,22,12},
13640: {2654209,2176633,22,15},
13641: {2641921,2270706,22,12},
13642: {2592769,2134423,22,12},
13643: {2572289,1117898,22,14},
13644: {2543617,1118662,22,12},
13645: {2486273,2291237,22,12},
13646: {2482177,2291731,22,13},
13647: {2469889,297329,22,12},
13648: {2437121,1904322,22,12},
13649: {2424833,1836810,22,16},
13650: {2387969,999089,22,12},
13651: {2363393,399226,22,12},
13652: {2314241,422736,22,12},
13653: {2297857,589656,22,12},
13654: {2277377,486428,22,14},
13655: {2236417,1935978,22,13},
13656: {2101249,1339057,22,12},
13657: {2056193,923804,21,13},
13658: {2052097,1125320,21,12},
13659: {1990657,1893144,21,13},
13660: {1908737,1734742,21,13},
13661: {1892353,506921,21,13},
13662: {1847297,1172190,21,12},
13663: {1843201,1043343,21,13},
13664: {1810433,1075944,21,13},
13665: {1794049,1608919,21,13},
13666: {1785857,872740,21,14},
13667: {1769473,514853,21,16},
13668: {1748993,570818,21,12},
13669: {1732609,1627341,21,12},
13670: {1724417,443029,21,12},
13671: {1720321,1030518,21,14},
13672: {1712129,173016,21,13},
13673: {1708033,1614755,21,12},
13674: {1662977,126725,21,13},
13675: {1597441,869319,21,13},
13676: {1589249,26134,21,14},
13677: {1503233,1194989,21,12},
13678: {1454081,167029,21,12},
13679: {1437697,89503,21,12},
13680: {1417217,189813,21,13},
13681: {1376257,906980,21,16},
13682: {1355777,1218448,21,12},
13683: {1318913,507647,21,13},
13684: {1253377,650210,21,13},
13685: {1196033,240870,21,14},
13686: {1191937,879692,21,12},
13687: {1179649,608817,21,17},
13688: {1146881,573655,21,15},
13689: {1130497,297764,21,14},
13690: {1097729,306786,21,14},
13691: {1093633,172277,21,12},
13692: {1073153,916028,21,13},
13693: {1032193,396059,20,14},
13694: {995329,408789,20,12},
13695: {974849,709671,20,13},
13696: {962561,260290,20,12},
13697: {946177,295553,20,12},
13698: {925697,199226,20,13},
13699: {921601,485466,20,12},
13700: {790529,55460,20,12},
13701: {786433,11837,20,18},
13702: {778241,117636,20,13},
13703: {765953,534230,20,12},
13704: {737281,731492,20,14},
13705: {724993,202567,20,12},
13706: {675841,47755,20,12},
13707: {667649,250583,20,12},
13708: {643073,134098,20,12},
13709: {638977,310979,20,14},
13710: {577537,396822,20,12},
13711: {557057,284046,20,15},
13712: {520193,439579,19,12},
13713: {495617,236411,19,12},
13714: {471041,231520,19,12},
13715: {430081,150326,19,12},
13716: {417793,324366,19,13},
13717: {380929,206232,19,12},
13718: {331777,4477,19,12},
13719: {319489,227794,19,13},
13720: {307201,71105,19,12},
13721: {286721,161908,19,13},
13722: {270337,101045,19,13},
13723: {249857,48701,18,12},
13724: {188417,164329,18,13},
13725: {184321,155567,18,12},
13726: {176129,67451,18,12},
13727: {163841,142754,18,15},
13728: {151553,38298,18,12},
13729: {147457,101599,18,14},
13730: {114689,57361,17,14},
13731: {86017,17710,17,12},
13732: {65537,53761,17,16},
13733: {61441,30111,16,12},
13734: {40961,4971,16,13},
13735: {12289,9814,14,12},
13736: {0,0,0,0},
13737: };
13738:
13739: #define MAX_D 26
13740:
13741: static int blen_prod_fftprime[MAX_D+1] =
13742: {375772,375772,375772,375772,
13743: 375772,375772,375772,375772,
13744: 375772,375772,375772,375772,
13745: 375772,186706,92384,46626,
13746: 23388,11701,5783,2940,
13747: 1509,771,276,85,
13748: 57,29,29};
13749:
13750: /*
13751: d1 = deg(f1), n1 = |f1|oo,
13752: d2 = deg(f2), n2 = |f2|oo
13753: return 1 if sufficiently many fft_primes.
13754: 0 if not.
13755: */
13756:
1.4 noro 13757: int int_bits(int);
13758:
13759: int fft_available(int d1,int n1,int d2,int n2)
1.1 noro 13760: {
13761: int dmin,bound,dlen;
13762:
13763: dmin = d1>d2?d2:d1;
13764: bound = n1+n2+int_bits(dmin)+1;
13765: dlen = int_bits(d1+d2);
13766: if ( dlen > MAX_D )
13767: return 0;
13768: else if ( blen_prod_fftprime[dlen] <= bound )
13769: return 0;
13770: else
13771: return 1;
13772: }
13773:
13774: void get_fft_prime(int index,int *p,int *d)
13775: {
13776: if ( index < 0 || index >= NPrimes ) {
13777: *p = 0; *d = 0;
13778: } else {
13779: *p = Primes[index].prime; *d = Primes[index].d;
13780: }
13781: }
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