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Annotation of OpenXM_contrib2/asir2000/builtin/algnum.c, 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/builtin/algnum.c,v 1.1.1.1 1999/12/03 07:39:07 noro Exp $
        !            49: */
1.1       noro       50: #include "ca.h"
                     51: #include "parse.h"
                     52:
                     53: void Pdefpoly(), Pnewalg(), Pmainalg(), Palgtorat(), Prattoalg(), Pgetalg();
                     54: void Palg(), Palgv(), Pgetalgtree();
                     55:
                     56: #if defined(THINK_C)
                     57: void mkalg(P,Alg *);
                     58: int cmpalgp(P,P);
                     59: void algptop(P,P *);
                     60: void algtorat(Num,Obj *);
                     61: void rattoalg(Obj,Alg *);
                     62: void ptoalgp(P,P *);
                     63: #else
                     64: void mkalg();
                     65: int cmpalgp();
                     66: void algptop();
                     67: void algtorat();
                     68: void rattoalg();
                     69: void ptoalgp();
                     70: void clctalg();
                     71: #endif
                     72:
                     73: struct ftab alg_tab[] = {
                     74:        {"defpoly",Pdefpoly,1},
                     75:        {"newalg",Pnewalg,1},
                     76:        {"mainalg",Pmainalg,1},
                     77:        {"algtorat",Palgtorat,1},
                     78:        {"rattoalg",Prattoalg,1},
                     79:        {"getalg",Pgetalg,1},
                     80:        {"getalgtree",Pgetalgtree,1},
                     81:        {"alg",Palg,1},
                     82:        {"algv",Palgv,1},
                     83:        {0,0,0},
                     84: };
                     85:
                     86: static int UCN,ACNT;
                     87:
                     88: void Pnewalg(arg,rp)
                     89: NODE arg;
                     90: Alg *rp;
                     91: {
                     92:        P p;
                     93:        VL vl;
                     94:        P c;
                     95:
                     96:        p = (P)ARG0(arg);
                     97:        if ( !p || OID(p) != O_P )
                     98:                error("newalg : invalid argument");
                     99:        clctv(CO,p,&vl);
                    100:        if ( NEXT(vl) )
                    101:                error("newalg : invalid argument");
                    102:        c = COEF(DC(p));
                    103:        if ( !NUM(c) || !RATN(c) )
                    104:                error("newalg : invalid argument");
                    105:        mkalg(p,rp);
                    106: }
                    107:
                    108: void mkalg(p,r)
                    109: P p;
                    110: Alg *r;
                    111: {
                    112:        VL vl,mvl,nvl;
                    113:        V a,tv;
                    114:        char buf[BUFSIZ];
                    115:        char *name;
                    116:        P x,t,s;
                    117:        Num c;
                    118:        DCP dc,dcr,dcr0;
                    119:
                    120:        for ( vl = ALG; vl; vl = NEXT(vl) )
                    121:                if ( !cmpalgp(p,(P)vl->v->attr) ) {
                    122:                        a = vl->v; break;
                    123:                }
                    124:        if ( !vl ) {
                    125:                NEWVL(vl); NEXT(vl) = ALG; ALG = vl;
                    126:                NEWV(a); vl->v = a;
                    127:                sprintf(buf,"#%d",ACNT++);
                    128:                name = (char *)MALLOC(strlen(buf)+1);
                    129:                strcpy(name,buf); NAME(a) = name;
                    130:
                    131:                for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
                    132:                        NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc); c = (Num)COEF(dc);
                    133:                        if ( NID(c) != N_A )
                    134:                                COEF(dcr) = (P)c;
                    135:                        else
                    136:                                COEF(dcr) = (P)BDY(((Alg)c));
                    137:                }
                    138:                NEXT(dcr) = 0; MKP(a,dcr0,t); a->attr = (pointer)t;
                    139:
                    140:                sprintf(buf,"t%s",name); makevar(buf,&s);
                    141:
                    142:                if ( NEXT(ALG) ) {
                    143:                        tv = (V)NEXT(ALG)->v->priv;
                    144:                        for ( vl = CO; NEXT(NEXT(vl)); vl = NEXT(vl) );
                    145:                        nvl = NEXT(vl); NEXT(vl) = 0;
                    146:                        for ( vl = CO; NEXT(vl) && (NEXT(vl)->v != tv); vl = NEXT(vl) );
                    147:                        mvl = NEXT(vl); NEXT(vl) = nvl; NEXT(nvl) = mvl;
                    148:                }
                    149:
                    150:                a->priv = (pointer)VR(s); VR(s)->priv = (pointer)a;
                    151:        }
                    152:        MKV(a,x); MKAlg(x,*r);
                    153: }
                    154:
                    155: int cmpalgp(p,defp)
                    156: P p,defp;
                    157: {
                    158:        DCP dc,dcd;
                    159:        P t;
                    160:
                    161:        for ( dc = DC(p), dcd = DC(defp); dc && dcd;
                    162:                dc = NEXT(dc), dcd = NEXT(dcd) ) {
                    163:                if ( cmpq(DEG(dc),DEG(dcd)) )
                    164:                        break;
                    165:                t = NID((Num)COEF(dc)) == N_A ? (P)BDY((Alg)COEF(dc)) : COEF(dc);
                    166:                if ( compp(ALG,t,COEF(dcd)) )
                    167:                        break;
                    168:        }
                    169:        if ( dc || dcd )
                    170:                return 1;
                    171:        else
                    172:                return 0;
                    173: }
                    174:
                    175: void Pdefpoly(arg,rp)
                    176: NODE arg;
                    177: P *rp;
                    178: {
                    179:        asir_assert(ARG0(arg),O_N,"defpoly");
                    180:        algptop((P)VR((P)BDY((Alg)ARG0(arg)))->attr,rp);
                    181: }
                    182:
                    183: void Pmainalg(arg,r)
                    184: NODE arg;
                    185: Alg *r;
                    186: {
                    187:        Num c;
                    188:        V v;
                    189:        P b;
                    190:
                    191:        c = (Num)(ARG0(arg));
                    192:        if ( NID(c) <= N_R )
                    193:                *r = 0;
                    194:        else {
                    195:                v = VR((P)BDY((Alg)c)); MKV(v,b); MKAlg(b,*r);
                    196:        }
                    197: }
                    198:
                    199: void Palgtorat(arg,rp)
                    200: NODE arg;
                    201: Obj *rp;
                    202: {
                    203:        asir_assert(ARG0(arg),O_N,"algtorat");
                    204:        algtorat((Num)ARG0(arg),rp);
                    205: }
                    206:
                    207: void Prattoalg(arg,rp)
                    208: NODE arg;
                    209: Alg *rp;
                    210: {
                    211:        asir_assert(ARG0(arg),O_R,"rattoalg");
                    212:        rattoalg((Obj)ARG0(arg),rp);
                    213: }
                    214:
                    215: void Pgetalg(arg,rp)
                    216: NODE arg;
                    217: LIST *rp;
                    218: {
                    219:        Obj t;
                    220:        P p;
                    221:        VL vl;
                    222:        Num a;
                    223:        Alg b;
                    224:        NODE n0,n;
                    225:
                    226:        if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R )
                    227:                vl = 0;
                    228:        else {
                    229:                t = BDY((Alg)a);
                    230:                switch ( OID(t) ) {
                    231:                        case O_P: case O_R:
                    232:                                clctvr(ALG,t,&vl); break;
                    233:                        default:
                    234:                                vl = 0; break;
                    235:                }
                    236:        }
                    237:        for ( n0 = 0; vl; vl = NEXT(vl) ) {
                    238:                NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b;
                    239:        }
                    240:        if ( n0 )
                    241:                NEXT(n) = 0;
                    242:        MKLIST(*rp,n0);
                    243: }
                    244:
                    245: void Pgetalgtree(arg,rp)
                    246: NODE arg;
                    247: LIST *rp;
                    248: {
                    249:        Obj t;
                    250:        P p;
                    251:        VL vl,vl1,vl2;
                    252:        Num a;
                    253:        Alg b;
                    254:        NODE n0,n;
                    255:
                    256:        if ( !(a = (Num)ARG0(arg)) || NID(a) <= N_R )
                    257:                vl = 0;
                    258:        else {
                    259:                t = BDY((Alg)a);
                    260:                switch ( OID(t) ) {
                    261:                        case O_P:
                    262:                                clctalg(t,&vl); break;
                    263:                        case O_R:
                    264:                                clctalg(NM((R)t),&vl1);
                    265:                                clctalg(DN((R)t),&vl2);
                    266:                                mergev(ALG,vl1,vl2,&vl); break;
                    267:                        default:
                    268:                                vl = 0; break;
                    269:                }
                    270:        }
                    271:        for ( n0 = 0; vl; vl = NEXT(vl) ) {
                    272:                NEXTNODE(n0,n); MKV(vl->v,p); MKAlg(p,b); BDY(n) = (pointer)b;
                    273:        }
                    274:        if ( n0 )
                    275:                NEXT(n) = 0;
                    276:        MKLIST(*rp,n0);
                    277: }
                    278:
                    279: void clctalg(p,vl)
                    280: P p;
                    281: VL *vl;
                    282: {
                    283:        int n,i;
                    284:        VL tvl;
                    285:        VN vn,vn1;
                    286:        P d;
                    287:        DCP dc;
                    288:
                    289:        for ( n = 0, tvl = ALG; tvl; tvl = NEXT(tvl), n++ );
                    290:        vn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
                    291:        for ( i = n-1, tvl = ALG; tvl; tvl = NEXT(tvl), i-- ) {
                    292:                vn[i].v = tvl->v;
                    293:                vn[i].n = 0;
                    294:        }
                    295:        markv(vn,n,p);
                    296:        for ( i = n-1; i >= 0; i-- ) {
                    297:                if ( !vn[i].n )
                    298:                        continue;
                    299:                d = (P)vn[i].v->attr;
                    300:                for ( dc = DC(d); dc; dc = NEXT(dc) )
                    301:                        markv(vn,i,COEF(dc));
                    302:        }
                    303:        vn1 = (VN) ALLOCA((n+1)*sizeof(struct oVN));
                    304:        for ( i = 0; i < n; i++ ) {
                    305:                vn1[i].v = vn[n-1-i].v; vn1[i].n = vn[n-1-i].n;
                    306:        }
                    307:        vntovl(vn1,n,vl);
                    308: }
                    309:
                    310: void Palg(arg,rp)
                    311: NODE arg;
                    312: Alg *rp;
                    313: {
                    314:        Q a;
                    315:        VL vl;
                    316:        P x;
                    317:        int n;
                    318:
                    319:        a = (Q)ARG0(arg);
                    320:        if ( a && (OID(a) != O_N || NID(a) != N_Q || !INT(a)) )
                    321:                *rp = 0;
                    322:        else {
                    323:                n = ACNT-QTOS(a)-1;
                    324:                for ( vl = ALG; vl && n; vl = NEXT(vl), n-- );
                    325:                if ( vl ) {
                    326:                        MKV(vl->v,x); MKAlg(x,*rp);
                    327:                } else
                    328:                        *rp = 0;
                    329:        }
                    330: }
                    331:
                    332: void Palgv(arg,rp)
                    333: NODE arg;
                    334: Obj *rp;
                    335: {
                    336:        Q a;
                    337:        VL vl;
                    338:        P x;
                    339:        int n;
                    340:        Alg b;
                    341:
                    342:        a = (Q)ARG0(arg);
                    343:        if ( a && (OID(a) != O_N || NID(a) != N_Q || !INT(a)) )
                    344:                *rp = 0;
                    345:        else {
                    346:                n = ACNT-QTOS(a)-1;
                    347:                for ( vl = ALG; vl && n; vl = NEXT(vl), n-- );
                    348:                if ( vl ) {
                    349:                        MKV(vl->v,x); MKAlg(x,b); algtorat((Num)b,rp);
                    350:                } else
                    351:                        *rp = 0;
                    352:        }
                    353: }
                    354:
                    355: void algptop(p,r)
                    356: P p,*r;
                    357: {
                    358:        DCP dc,dcr,dcr0;
                    359:
                    360:        if ( NUM(p) )
                    361:                *r = (P)p;
                    362:        else {
                    363:                for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
                    364:                        NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc);
                    365:                        algptop(COEF(dc),&COEF(dcr));
                    366:                }
                    367:                NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r);
                    368:        }
                    369: }
                    370:
                    371: void algtorat(n,r)
                    372: Num n;
                    373: Obj *r;
                    374: {
                    375:        Obj obj;
                    376:        P nm,dn;
                    377:
                    378:        if ( !n || NID(n) <= N_R )
                    379:                *r = (Obj)n;
                    380:        else {
                    381:                obj = BDY((Alg)n);
                    382:                if ( ID(obj) <= O_P )
                    383:                        algptop((P)obj,(P *)r);
                    384:                else {
                    385:                        algptop(NM((R)obj),&nm); algptop(DN((R)obj),&dn);
                    386:                        divr(CO,(Obj)nm,(Obj)dn,r);
                    387:                }
                    388:        }
                    389: }
                    390:
                    391: void rattoalg(obj,n)
                    392: Obj obj;
                    393: Alg *n;
                    394: {
                    395:        P nm,dn;
                    396:        Obj t;
                    397:
                    398:        if ( !obj || ID(obj) == O_N )
                    399:                *n = (Alg)obj;
                    400:        else if ( ID(obj) == O_P ) {
                    401:                ptoalgp((P)obj,(P *)&t); MKAlg(t,*n);
                    402:        } else {
                    403:                ptoalgp(NM((R)obj),&nm); ptoalgp(DN((R)obj),&dn);
                    404:                divr(ALG,(Obj)nm,(Obj)dn,&t); MKAlg(t,*n);
                    405:        }
                    406: }
                    407:
                    408: void ptoalgp(p,r)
                    409: P p,*r;
                    410: {
                    411:        DCP dc,dcr,dcr0;
                    412:
                    413:        if ( NUM(p) )
                    414:                *r = (P)p;
                    415:        else {
                    416:                for ( dc = DC(p), dcr0 = 0; dc; dc = NEXT(dc) ) {
                    417:                        NEXTDC(dcr0,dcr); DEG(dcr) = DEG(dc);
                    418:                        ptoalgp(COEF(dc),&COEF(dcr));
                    419:                }
                    420:                NEXT(dcr) = 0; MKP((V)(VR(p)->priv),dcr0,*r);
                    421:        }
                    422: }

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