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Annotation of OpenXM_contrib2/asir2000/engine/gf2n.c, Revision 1.4

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:  *
1.4     ! noro       48:  * $OpenXM: OpenXM_contrib2/asir2000/engine/gf2n.c,v 1.3 2000/08/22 05:04:05 noro Exp $
1.2       noro       49: */
1.1       noro       50: #include "ca.h"
                     51: #include "base.h"
                     52:
                     53: extern int lm_lazy;
                     54:
                     55: GEN_UP2 current_mod_gf2n;
                     56:
1.4     ! noro       57: void setmod_gf2n(P p)
1.1       noro       58: {
                     59:        if ( !current_mod_gf2n ) {
                     60:                current_mod_gf2n = (GEN_UP2)MALLOC(sizeof(struct oGEN_UP2));
                     61:                current_mod_gf2n->id = UP2_SPARSE; /* use sparse rep. by default */
                     62:        }
                     63:        ptoup2(p,&current_mod_gf2n->dense);
                     64:        ptoup2_sparse(p,&current_mod_gf2n->sparse);
                     65: }
                     66:
1.4     ! noro       67: void getmod_gf2n(UP2 *p)
1.1       noro       68: {
                     69:        if ( current_mod_gf2n )
                     70:                *p = current_mod_gf2n->dense;
                     71:        else
                     72:                *p = 0;
                     73: }
                     74:
1.4     ! noro       75: void simpgf2n(GF2N n,GF2N *r)
1.1       noro       76: {
                     77:        UP2 rem;
                     78:
                     79:        if ( !n )
                     80:                *r = 0;
                     81:        else if ( NID(n) != N_GF2N )
                     82:                *r = n;
                     83:        else {
                     84:                gen_simpup2(n->body,current_mod_gf2n,&rem);
                     85:                MKGF2N(rem,*r);
                     86:        }
                     87: }
                     88:
1.4     ! noro       89: void ptogf2n(Obj q,GF2N *l)
1.1       noro       90: {
                     91:        UP2 q1;
                     92:
                     93:        if ( !q || (OID(q)==O_N && NID(q)==N_GF2N) ) {
                     94:                *l = (GF2N)q;
                     95:        } else if ( (OID(q)==O_N && NID(q)==N_Q) || OID(q)==O_P ) {
                     96:                ptoup2((P)q,&q1);
                     97:                MKGF2N(q1,*l);
                     98:        } else
                     99:                error("ptogf2n : invalid argument");
                    100: }
                    101:
1.4     ! noro      102: void gf2ntop(GF2N q,P *l)
1.1       noro      103: {
                    104:        if ( !q )
                    105:                *l = 0;
                    106:        else
                    107:                up2top(q->body,l);
                    108: }
                    109:
1.4     ! noro      110: void gf2ntovect(GF2N q,VECT *l)
1.1       noro      111: {
                    112:        if ( !q )
                    113:                *l = 0;
                    114:        else
                    115:                up2tovect(q->body,l);
                    116: }
                    117:
                    118: #define NZGF2N(a) ((a)&&(OID(a)==O_N)&&(NID(a)==N_GF2N))
                    119:
1.4     ! noro      120: void addgf2n(GF2N a,GF2N b,GF2N *c)
1.1       noro      121: {
                    122:        UP2 t,t1;
                    123:        GF2N z;
                    124:
                    125:        ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z;
                    126:        if ( !a )
                    127:                *c = b;
                    128:        else if ( !b )
                    129:                *c = a;
                    130:        else {
                    131:                addup2(a->body,b->body,&t);
                    132:                gen_simpup2(t,current_mod_gf2n,&t1);
                    133:                MKGF2N(t1,*c);
                    134:        }
                    135: }
                    136:
1.4     ! noro      137: void subgf2n(GF2N a,GF2N b,GF2N *c)
1.1       noro      138: {
                    139:        addgf2n(a,b,c);
                    140: }
                    141:
1.4     ! noro      142: void mulgf2n(GF2N a,GF2N b,GF2N *c)
1.1       noro      143: {
                    144:        UP2 t;
                    145:        GF2N z;
                    146:
                    147:        ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z;
                    148:        if ( !a || !b )
                    149:                *c = 0;
                    150:        else {
                    151:                mulup2(a->body,b->body,&t);
                    152: #if 0
                    153:                gen_simpup2(t,current_mod_gf2n,&t1);
                    154:                MKGF2N(t1,*c);
                    155: #else
                    156:                gen_simpup2_destructive(t,current_mod_gf2n);
                    157:                if ( !t || !t->w )
                    158:                        *c = 0;
                    159:                else
                    160:                        MKGF2N(t,*c);
                    161: #endif
                    162:        }
                    163: }
                    164:
1.4     ! noro      165: void squaregf2n(GF2N a,GF2N *c)
1.1       noro      166: {
                    167:        UP2 t;
                    168:        GF2N z;
                    169:
                    170:        ptogf2n((Obj)a,&z); a = z;
                    171:        if ( !a )
                    172:                *c = 0;
                    173:        else {
                    174:                squareup2(a->body,&t);
                    175: #if 0
                    176:                gen_simpup2(t,current_mod_gf2n,&t1);
                    177:                MKGF2N(t1,*c);
                    178: #else
                    179:                gen_simpup2_destructive(t,current_mod_gf2n);
                    180:                if ( !t || !t->w )
                    181:                        *c = 0;
                    182:                else
                    183:                        MKGF2N(t,*c);
                    184: #endif
                    185:        }
                    186: }
                    187:
1.4     ! noro      188: void divgf2n(GF2N a,GF2N b,GF2N *c)
1.1       noro      189: {
                    190:        UP2 t,i,s;
                    191:        GF2N z;
                    192:
                    193:        ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z;
                    194:        if ( !b )
                    195:                error("divgf2n: division by 0");
                    196:        else if ( !a )
                    197:                *c = 0;
                    198:        else {
                    199:                gen_invup2(b->body,current_mod_gf2n,&i);
                    200:                mulup2(a->body,i,&t);
                    201:                gen_simpup2(t,current_mod_gf2n,&s);
                    202:                MKGF2N(s,*c);
                    203:        }
                    204: }
                    205:
1.4     ! noro      206: void invgf2n(GF2N b,GF2N *c)
1.1       noro      207: {
                    208:        UP2 i;
                    209:        GF2N z;
                    210:
                    211:        ptogf2n((Obj)b,&z); b = z;
                    212:        if ( !b )
                    213:                error("divgf2n: division by 0");
                    214:        else {
                    215:                gen_invup2(b->body,current_mod_gf2n,&i);
                    216:                MKGF2N(i,*c);
                    217:        }
                    218: }
                    219:
1.4     ! noro      220: void chsgngf2n(GF2N a,GF2N *c)
1.1       noro      221: {
                    222:        *c = a;
                    223: }
                    224:
1.4     ! noro      225: void pwrgf2n(GF2N a,Q b,GF2N *c)
1.1       noro      226: {
                    227:        UP2 t;
                    228:        GF2N r;
                    229:
                    230:        if ( !b ) {
                    231:                MKGF2N(ONEUP2,*c);
                    232:        } else if ( !a )
                    233:                *c = 0;
                    234:        else {
                    235:                gen_pwrmodup2(a->body,b,current_mod_gf2n,&t);
                    236:                MKGF2N(t,r);
                    237:                if ( SGN(b) < 0 )
                    238:                        invgf2n(r,c);
                    239:                else
                    240:                        *c = r;
                    241:        }
                    242: }
                    243:
1.4     ! noro      244: int cmpgf2n(GF2N a,GF2N b)
1.1       noro      245: {
                    246:        GF2N z;
                    247:
                    248:        ptogf2n((Obj)a,&z); a = z; ptogf2n((Obj)b,&z); b = z;
                    249:        if ( !a )
                    250:                if ( !b )
                    251:                        return 0;
                    252:                else
                    253:                        return -1;
                    254:        else if ( !b )
                    255:                        return 1;
                    256:        else
                    257:                return compup2(a->body,b->body);
                    258: }
                    259:
1.4     ! noro      260: void randomgf2n(GF2N *r)
1.1       noro      261: {
                    262:        int i,w,d;
                    263:        unsigned int *tb;
                    264:        UP2 t;
                    265:
                    266:        if ( !current_mod_gf2n )
                    267:                error("randomgf2n : current_mod_gf2n is not set");
                    268:        w = current_mod_gf2n->dense->w;
                    269:        d = degup2(current_mod_gf2n->dense);
                    270:        NEWUP2(t,w);
                    271:        for ( i = 0, tb = t->b; i < w; i++ )
                    272:                tb[i] = mt_genrand();
                    273:        tb[w-1] &= (1<<(d%BSH))-1;
                    274:        for ( i = w-1; i >= 0 && !tb[i]; i-- );
                    275:        if ( i < 0 )
                    276:                *r = 0;
                    277:        else {
                    278:                t->w = i+1; MKGF2N(t,*r);
                    279:        }
                    280: }

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