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Annotation of OpenXM_contrib2/asir2000/fft/dft.h, Revision 1.2

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
        !            26:  * e-mail at risa-admin@flab.fujitsu.co.jp of the detailed specification
        !            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:  *
        !            48:  * $OpenXM: OpenXM_contrib2/asir2000/fft/dft.h,v 1.1.1.1 1999/12/03 07:39:08 noro Exp $
        !            49: */
1.1       noro       50: #if LONG_IS_32BIT
                     51: #if defined(VISUAL)
                     52: typedef unsigned _int64 UL;
                     53: #else
                     54: typedef unsigned long long UL;
                     55: #endif
                     56: #else
                     57: typedef unsigned long UL;
                     58: #endif
                     59:
                     60: struct PrimesS {
                     61:        int     prime, primroot;
                     62:        int  bitwid, d;
                     63: };
                     64:
                     65: #if USE_FLOAT
                     66: #define NPrimes 536
                     67: #else
                     68: #define NPrimes 13681
                     69: #endif
                     70:
                     71: #if USE_FLOAT
                     72: typedef float ModNum;
                     73:
                     74: #define AxBplusCmodP(ans,anstype,a,b,c,p,pinv) \
                     75:   { double _w_ = ((double)(a))*((double)(b))+((double)(c)), \
                     76:       _dp_ = (double)(p); \
                     77:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
                     78:       ans = (anstype) (_w_>=_dp_?_w_-_dp_: _w_); }
                     79:
                     80: #define AxBmodP(ans,anstype,a,b,p,pinv) \
                     81:   { double _w_ = ((double)(a))*((double)(b)), _dp_ = (double)(p); \
                     82:       _dp_ = (double)(p); \
                     83:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
                     84:       ans = (anstype) (_w_>=_dp_?_w_-_dp_: _w_); }
                     85:
                     86: #define AxBmodPnostrchk(ans,anstype,a,b,p,pinv) \
                     87:   { double _w_ = ((double)(a))*((double)(b)), _dp_ = (double)(p); \
                     88:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
                     89:       ans = (anstype) _w_; }
                     90:
                     91: #define AxBplusCmodPnostrchk(ans,anstype,a,b,c,p,pinv) \
                     92:   { double _w_ = ((double)(a))*((double)(b))+((double)(c)), \
                     93:       _dp_ = (double)(p); \
                     94:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
                     95:       ans = (anstype) _w_; }
                     96: #else
                     97:
                     98: #include "inline.h"
                     99:
                    100: typedef unsigned int ModNum;
                    101:
                    102: #define AxBplusCmodP(ans,anstype,a,b,c,p,pinv) \
                    103:   { DMAR(a,b,c,p,ans) }
                    104:
                    105: #define AxBmodP(ans,anstype,a,b,p,pinv) \
                    106:   { DMAR(a,b,0,p,ans) }
                    107:
                    108: #define AxBmodPnostrchk(ans,anstype,a,b,p,pinv) \
                    109:   { DMAR(a,b,0,p,ans) }
                    110:
                    111: #define AxBplusCmodPnostrchk(ans,anstype,a,b,c,p,pinv) \
                    112:   { DMAR(a,b,c,p,ans) }
                    113: #endif
                    114:
                    115: #define AstrictmodP(a,p) ((a)>=(p)?((a)-(p)):(a))
                    116:
                    117: #define AplusBmodP(a,b,p) (((p)-(b))>(a)?((a)+(b)): ((a)-((p)-(b))))
                    118: #define A_BmodP(a,b,p) ((a)>=(b)?((a)-(b)): (((p)-(b))+(a)))
                    119:
                    120: void C_DFT_FORE(ModNum *,int,int,int,ModNum *,
                    121: #ifdef POWA_STRIDE
                    122:        int
                    123: #else
                    124:        ModNum *,int,ModNum,double,ModNum *
                    125: #endif
                    126: );
                    127:
                    128: void C_DFT_BACK(ModNum *,int,int,int,ModNum *,
                    129: #ifdef POWA_STRIDE
                    130:                 int
                    131: #else
                    132:                 ModNum *,int,int,int,ModNum,ModNum,double,ModNum *
                    133: #endif
                    134: );
                    135:
                    136: void C_PREP_ALPHA(ModNum,int,int,int,ModNum *,ModNum,double);

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