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Annotation of OpenXM_contrib2/asir2018/fft/dft.h, Revision 1.1

1.1     ! 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@sec.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:  * $OpenXM$
        !            49: */
        !            50: #if SIZEOF_LONG == 8
        !            51: typedef unsigned long UL;
        !            52: #elif defined(HAVE_UNSIGNED_LONG_LONG)
        !            53: typedef unsigned long long UL;
        !            54: #elif defined(_MSC_VER)
        !            55: typedef unsigned _int64 UL;
        !            56: #endif
        !            57:
        !            58: struct PrimesS {
        !            59:   int  prime, primroot;
        !            60:   int  bitwid, d;
        !            61: };
        !            62:
        !            63: #if defined(USE_FLOAT)
        !            64: #define NPrimes 536
        !            65: #else
        !            66: #define NPrimes 13681
        !            67: #endif
        !            68:
        !            69: #if defined(USE_FLOAT)
        !            70: typedef float ModNum;
        !            71:
        !            72: #define AxBplusCmodP(ans,anstype,a,b,c,p,pinv) \
        !            73:   { double _w_ = ((double)(a))*((double)(b))+((double)(c)), \
        !            74:       _dp_ = (double)(p); \
        !            75:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
        !            76:       ans = (anstype) (_w_>=_dp_?_w_-_dp_: _w_); }
        !            77:
        !            78: #define AxBmodP(ans,anstype,a,b,p,pinv) \
        !            79:   { double _w_ = ((double)(a))*((double)(b)), _dp_ = (double)(p); \
        !            80:       _dp_ = (double)(p); \
        !            81:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
        !            82:       ans = (anstype) (_w_>=_dp_?_w_-_dp_: _w_); }
        !            83:
        !            84: #define AxBmodPnostrchk(ans,anstype,a,b,p,pinv) \
        !            85:   { double _w_ = ((double)(a))*((double)(b)), _dp_ = (double)(p); \
        !            86:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
        !            87:       ans = (anstype) _w_; }
        !            88:
        !            89: #define AxBplusCmodPnostrchk(ans,anstype,a,b,c,p,pinv) \
        !            90:   { double _w_ = ((double)(a))*((double)(b))+((double)(c)), \
        !            91:       _dp_ = (double)(p); \
        !            92:       if ( _w_ >= _dp_ ) _w_ -= (_dp_*(double)((int)(_w_*(pinv)))); \
        !            93:       ans = (anstype) _w_; }
        !            94: #else
        !            95:
        !            96: #include "inline.h"
        !            97:
        !            98: typedef unsigned int ModNum;
        !            99:
        !           100: /* XXX */
        !           101: #if defined(__DARWIN__)
        !           102: #undef DMAR
        !           103: #define DMAR(a1,a2,a3,d,r) (r)=dmar(a1,a2,a3,d);
        !           104: #endif
        !           105:
        !           106: #define AxBplusCmodP(ans,anstype,a,b,c,p,pinv) \
        !           107:   { DMAR(a,b,c,p,ans) }
        !           108:
        !           109: #define AxBmodP(ans,anstype,a,b,p,pinv) \
        !           110:   { DMAR(a,b,0,p,ans) }
        !           111:
        !           112: #define AxBmodPnostrchk(ans,anstype,a,b,p,pinv) \
        !           113:   { DMAR(a,b,0,p,ans) }
        !           114:
        !           115: #define AxBplusCmodPnostrchk(ans,anstype,a,b,c,p,pinv) \
        !           116:   { DMAR(a,b,c,p,ans) }
        !           117: #endif
        !           118:
        !           119: #define AstrictmodP(a,p) ((a)>=(p)?((a)-(p)):(a))
        !           120:
        !           121: #define AplusBmodP(a,b,p) (((p)-(b))>(a)?((a)+(b)): ((a)-((p)-(b))))
        !           122: #define A_BmodP(a,b,p) ((a)>=(b)?((a)-(b)): (((p)-(b))+(a)))
        !           123:
        !           124: void C_DFT_FORE(ModNum *,int,int,int,ModNum *,
        !           125: #ifdef POWA_STRIDE
        !           126:   int
        !           127: #else
        !           128:   ModNum *,int,ModNum,double,ModNum *
        !           129: #endif
        !           130: );
        !           131:
        !           132: void C_DFT_BACK(ModNum *,int,int,int,ModNum *,
        !           133: #ifdef POWA_STRIDE
        !           134:      int
        !           135: #else
        !           136:      ModNum *,int,int,int,ModNum,ModNum,double,ModNum *
        !           137: #endif
        !           138: );
        !           139:
        !           140: void C_PREP_ALPHA(ModNum,int,int,int,ModNum *,ModNum,double);

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