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Annotation of OpenXM_contrib2/asir2018/builtin/pf.c, 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: #include "ca.h"
        !            51: #include "math.h"
        !            52: #include "parse.h"
        !            53: #if 0
        !            54: #include <alloca.h>
        !            55: #endif
        !            56:
        !            57: double const_pi(),const_e(), double_factorial();
        !            58:
        !            59: void make_ihyp(void);
        !            60: void make_hyp(void);
        !            61: void make_itri(void);
        !            62: void make_tri(void);
        !            63: void make_exp(void);
        !            64: void simplify_pow(PFINS,Obj *);
        !            65: FNODE partial_eval(FNODE f);
        !            66:
        !            67: void Pfunctor(),Pargs(),Pfunargs(),Pvtype(),Pcall(),Pdeval(),Pfunargs_ext();
        !            68: void Pregister_handler();
        !            69: void Peval_quote();
        !            70: void Pmapat(), Pmap();
        !            71: void Padd_handler();
        !            72: void Plist_handler();
        !            73: void Pclear_handler();
        !            74:
        !            75: struct ftab puref_tab[] = {
        !            76:   {"mapat",Pmapat,-99999999},
        !            77:   {"map",Pmap,-99999999},
        !            78:   {"functor",Pfunctor,1},
        !            79:   {"args",Pargs,1},
        !            80:   {"funargs",Pfunargs,1},
        !            81:   {"funargs_ext",Pfunargs_ext,1},
        !            82:   {"register_handler",Pregister_handler,1},
        !            83:   {"add_handler",Padd_handler,2},
        !            84:   {"list_handler",Plist_handler,1},
        !            85:   {"clear_handler",Pclear_handler,1},
        !            86:   {"call",Pcall,2},
        !            87:   {"vtype",Pvtype,1},
        !            88:   {"deval",Pdeval,1},
        !            89:   {"eval_quote",Peval_quote,-2},
        !            90:   {0,0,0},
        !            91: };
        !            92:
        !            93: int mp_pi(),mp_e();
        !            94: int mp_exp(), mp_log(), mp_pow();
        !            95: int mp_sin(),mp_cos(),mp_tan(),mp_asin(),mp_acos(),mp_atan();
        !            96: int mp_sinh(),mp_cosh(),mp_tanh(),mp_asinh(),mp_acosh(),mp_atanh();
        !            97: int mp_factorial();
        !            98:
        !            99: static V *uarg,*darg;
        !           100: static P x,y;
        !           101: static PF pidef,edef;
        !           102: static PF logdef,expdef,powdef;
        !           103: static PF sindef,cosdef,tandef;
        !           104: static PF asindef,acosdef,atandef;
        !           105: static PF sinhdef,coshdef,tanhdef;
        !           106: static PF asinhdef,acoshdef,atanhdef;
        !           107: static PF factorialdef,absdef;
        !           108:
        !           109: #define OALLOC(p,n) ((p)=(Obj *)CALLOC((n),sizeof(Obj)))
        !           110:
        !           111: double const_pi() { return 3.14159265358979323846264338327950288; }
        !           112: double const_e() { return 2.718281828459045235360287471352662497; }
        !           113:
        !           114: double double_factorial(double x)
        !           115: {
        !           116:   return tgamma(x+1);
        !           117: }
        !           118:
        !           119: int simplify_elemfunc_ins();
        !           120: int simplify_factorial_ins();
        !           121: int simplify_abs_ins();
        !           122:
        !           123: void pf_init() {
        !           124:   uarg = (V *)CALLOC(1,sizeof(V));
        !           125:   uarg[0] = &oVAR[26]; MKV(uarg[0],x);
        !           126:
        !           127:   darg = (V *)CALLOC(2,sizeof(V));
        !           128:   darg[0] = &oVAR[26];
        !           129:   darg[1] = &oVAR[27]; MKV(darg[1],y);
        !           130:
        !           131:   mkpf("@pi",0,0,0,(int (*)())mp_pi,const_pi,simplify_elemfunc_ins,&pidef);
        !           132:   mkpf("@e",0,0,0,(int (*)())mp_e,const_e,simplify_elemfunc_ins,&edef);
        !           133:
        !           134:   mkpf("factorial",0,1,uarg,(int (*)())mp_factorial,double_factorial,simplify_factorial_ins,&factorialdef);
        !           135:   mkpf("abs",0,1,uarg,(int (*)())mp_abs,fabs,simplify_abs_ins,&absdef);
        !           136:
        !           137:   mkpf("log",0,1,uarg,(int (*)())mp_log,log,simplify_elemfunc_ins,&logdef);
        !           138:   mkpf("exp",0,1,uarg,(int (*)())mp_exp,exp,simplify_elemfunc_ins,&expdef);
        !           139:   mkpf("pow",0,2,darg,(int (*)())mp_pow,pow,(int (*)())simplify_pow,&powdef);
        !           140:
        !           141:   mkpf("sin",0,1,uarg,(int (*)())mp_sin,sin,simplify_elemfunc_ins,&sindef);
        !           142:   mkpf("cos",0,1,uarg,(int (*)())mp_cos,cos,simplify_elemfunc_ins,&cosdef);
        !           143:   mkpf("tan",0,1,uarg,(int (*)())mp_tan,tan,simplify_elemfunc_ins,&tandef);
        !           144:   mkpf("asin",0,1,uarg,(int (*)())mp_asin,asin,simplify_elemfunc_ins,&asindef);
        !           145:   mkpf("acos",0,1,uarg,(int (*)())mp_acos,acos,simplify_elemfunc_ins,&acosdef);
        !           146:   mkpf("atan",0,1,uarg,(int (*)())mp_atan,atan,simplify_elemfunc_ins,&atandef);
        !           147:
        !           148:   mkpf("sinh",0,1,uarg,(int (*)())mp_sinh,sinh,simplify_elemfunc_ins,&sinhdef);
        !           149:   mkpf("cosh",0,1,uarg,(int (*)())mp_cosh,cosh,simplify_elemfunc_ins,&coshdef);
        !           150:   mkpf("tanh",0,1,uarg,(int (*)())mp_tanh,tanh,simplify_elemfunc_ins,&tanhdef);
        !           151: #if !defined(VISUAL) && !defined(__MINGW32__)
        !           152:   mkpf("asinh",0,1,uarg,(int (*)())mp_asinh,asinh,simplify_elemfunc_ins,&asinhdef);
        !           153:   mkpf("acosh",0,1,uarg,(int (*)())mp_acosh,acosh,simplify_elemfunc_ins,&acoshdef);
        !           154:   mkpf("atanh",0,1,uarg,(int (*)())mp_atanh,atanh,simplify_elemfunc_ins,&atanhdef);
        !           155: #endif
        !           156:   make_exp();
        !           157:   make_tri();
        !           158:   make_itri();
        !           159:   make_hyp();
        !           160: #if !defined(VISUAL) && !defined(__MINGW32__)
        !           161:   make_ihyp();
        !           162: #endif
        !           163: }
        !           164:
        !           165: void make_exp() {
        !           166:   V v;
        !           167:   P u,vexp,vlog,vpow;
        !           168:   Obj *args;
        !           169:
        !           170:   mkpfins(expdef,uarg,&v); MKV(v,vexp);
        !           171:   mkpfins(powdef,darg,&v); MKV(v,vpow);
        !           172:   mkpfins(logdef,uarg,&v); MKV(v,vlog);
        !           173:
        !           174:   /* d/dx(log(x)) = 1/x */
        !           175:   OALLOC(logdef->deriv,1); divr(CO,(Obj)ONE,(Obj)x,&logdef->deriv[0]);
        !           176:
        !           177:   /* d/dx(exp(x)) = exp(x) */
        !           178:   OALLOC(expdef->deriv,1); expdef->deriv[0] = (Obj)vexp;
        !           179:
        !           180:   /* d/dy(x^y) = log(x)*x^y */
        !           181:   OALLOC(powdef->deriv,2); mulp(CO,vpow,vlog,(P *)&powdef->deriv[1]);
        !           182:
        !           183:   /* d/dx(x^y) = y*x^(y-1) */
        !           184:   args = (Obj *)ALLOCA(2*sizeof(Obj));
        !           185:   args[0] = (Obj)x; subp(CO,y,(P)ONE,(P *)&args[1]);
        !           186:   _mkpfins(powdef,args,&v); MKV(v,u);
        !           187:   mulr(CO,(Obj)u,(Obj)y,&powdef->deriv[0]);
        !           188: }
        !           189:
        !           190: void make_tri() {
        !           191:   V v;
        !           192:   P vcos,vsin,vtan,t;
        !           193:
        !           194:   mkpfins(cosdef,uarg,&v); MKV(v,vcos);
        !           195:   mkpfins(sindef,uarg,&v); MKV(v,vsin);
        !           196:   mkpfins(tandef,uarg,&v); MKV(v,vtan);
        !           197:
        !           198:   /* d/dx(sin(x)) = cos(x) */
        !           199:   OALLOC(sindef->deriv,1); sindef->deriv[0] = (Obj)vcos;
        !           200:
        !           201:   /* d/dx(cos(x)) = -sin(x) */
        !           202:   OALLOC(cosdef->deriv,1); chsgnp(vsin,(P *)&cosdef->deriv[0]);
        !           203:
        !           204:   /* d/dx(tan(x)) = 1+tan(x)^2 */
        !           205:   OALLOC(tandef->deriv,1);
        !           206:   mulr(CO,(Obj)vtan,(Obj)vtan,(Obj *)&t); addp(CO,(P)ONE,t,(P *)&tandef->deriv[0]);
        !           207: }
        !           208:
        !           209: void make_itri() {
        !           210:   P t,xx;
        !           211:   Z mtwo;
        !           212:   V v;
        !           213:   Obj *args;
        !           214:
        !           215:   /* d/dx(asin(x)) = (1-x^2)^(-1/2) */
        !           216:   OALLOC(asindef->deriv,1);
        !           217:   args = (Obj *)ALLOCA(2*sizeof(Obj));
        !           218:   mulp(CO,x,x,&xx); subp(CO,(P)ONE,xx,(P *)&args[0]);
        !           219:   STOQ(-2,mtwo); divz(ONE,mtwo,(Z *)&args[1]);
        !           220:   _mkpfins(powdef,args,&v); MKV(v,t);
        !           221:   asindef->deriv[0] = (Obj)t;
        !           222:
        !           223:   /* d/dx(acos(x)) = -(1-x^2)^(-1/2) */
        !           224:   OALLOC(acosdef->deriv,1); chsgnp((P)asindef->deriv[0],(P *)&acosdef->deriv[0]);
        !           225:
        !           226:   /* d/dx(atan(x)) = 1/(x^2+1) */
        !           227:   OALLOC(atandef->deriv,1);
        !           228:   addp(CO,(P)ONE,xx,&t); divr(CO,(Obj)ONE,(Obj)t,&atandef->deriv[0]);
        !           229: }
        !           230:
        !           231: void make_hyp() {
        !           232:   V v;
        !           233:   P vcosh,vsinh,vtanh,t;
        !           234:
        !           235:   mkpfins(coshdef,uarg,&v); MKV(v,vcosh);
        !           236:   mkpfins(sinhdef,uarg,&v); MKV(v,vsinh);
        !           237:   mkpfins(tanhdef,uarg,&v); MKV(v,vtanh);
        !           238:
        !           239:   /* d/dx(sinh(x)) = cosh(x) */
        !           240:   OALLOC(sinhdef->deriv,1); sinhdef->deriv[0] = (Obj)vcosh;
        !           241:
        !           242:   /* d/dx(cosh(x)) = sinh(x) */
        !           243:   OALLOC(coshdef->deriv,1); coshdef->deriv[0] = (Obj)vsinh;
        !           244:
        !           245:   /* d/dx(tanh(x)) = 1-tanh(x)^2 */
        !           246:   OALLOC(tanhdef->deriv,1);
        !           247:   mulr(CO,(Obj)vtanh,(Obj)vtanh,(Obj *)&t); subp(CO,(P)ONE,t,(P *)&tanhdef->deriv[0]);
        !           248: }
        !           249:
        !           250: void make_ihyp() {
        !           251:   P t,xx;
        !           252:   Z mtwo;
        !           253:   V v;
        !           254:   Obj *args;
        !           255:
        !           256:   /* d/dx(asinh(x)) = (1+x^2)^(-1/2) */
        !           257:   OALLOC(asinhdef->deriv,1);
        !           258:   args = (Obj *)ALLOCA(2*sizeof(Obj));
        !           259:   mulp(CO,x,x,&xx); addp(CO,(P)ONE,xx,(P *)&args[0]);
        !           260:   STOQ(-2,mtwo); divz(ONE,mtwo,(Z *)&args[1]);
        !           261:   _mkpfins(powdef,args,&v); MKV(v,t);
        !           262:   asinhdef->deriv[0] = (Obj)t;
        !           263:
        !           264:   /* d/dx(acosh(x)) = (x^2-1)^(-1/2) */
        !           265:   OALLOC(acoshdef->deriv,1);
        !           266:   subp(CO,xx,(P)ONE,(P *)&args[0]);
        !           267:   _mkpfins(powdef,args,&v); MKV(v,t);
        !           268:   acoshdef->deriv[0] = (Obj)t;
        !           269:
        !           270:   /* d/dx(atanh(x)) = 1/(1-x^2) */
        !           271:   OALLOC(atanhdef->deriv,1);
        !           272:   subp(CO,(P)ONE,xx,&t); divr(CO,(Obj)ONE,(Obj)t,&atanhdef->deriv[0]);
        !           273: }
        !           274:
        !           275: void mkpow(VL vl,Obj a,Obj e,Obj *r)
        !           276: {
        !           277:   PFINS ins;
        !           278:   PFAD ad;
        !           279:
        !           280:   ins = (PFINS)CALLOC(1,sizeof(PF)+2*sizeof(struct oPFAD));
        !           281:   ins->pf = powdef; ad = ins->ad;
        !           282:   ad[0].d = 0; ad[0].arg = a; ad[1].d = 0; ad[1].arg = e;
        !           283:   simplify_ins(ins,r);
        !           284: }
        !           285:
        !           286: extern int evalef;
        !           287:
        !           288: void simplify_pow(PFINS ins,Obj * rp)
        !           289: {
        !           290:   PF pf;
        !           291:   PFAD ad;
        !           292:   Obj a0,a1;
        !           293:   V v;
        !           294:   P t;
        !           295:
        !           296:   if ( evalef ) {
        !           297:     simplify_elemfunc_ins(ins,rp);
        !           298:     return;
        !           299:   }
        !           300:   pf = ins->pf; ad = ins->ad; a0 = ad[0].arg; a1 = ad[1].arg;
        !           301:   if ( !a1 )
        !           302:     *rp = (Obj)ONE;
        !           303:   else if ( !a0 ) {
        !           304:     if ( RATN(a1) && sgnq((Q)a1)>0 )
        !           305:       *rp = 0;
        !           306:     else if ( RATN(a1) && sgnq((Q)a1) < 0 )
        !           307:       error("simplify_pow : division by 0");
        !           308:     else {
        !           309:       instoobj(ins,rp);
        !           310:     }
        !           311:   } else if ( NUM(a1) && INT(a1) )
        !           312:     arf_pwr(CO,a0,a1,rp);
        !           313:   else {
        !           314:     instoobj(ins,rp);
        !           315:   }
        !           316: }
        !           317:
        !           318: #define ISPFINS(p)\
        !           319: ((p)&&(ID(p) == O_P)&&((long)VR((P)p)->attr==V_PF)&&\
        !           320: UNIQ(DEG(DC((P)p)))&&UNIQ(COEF(DC((P)p))))
        !           321:
        !           322: void Pfunctor(NODE arg,P *rp)
        !           323: {
        !           324:   P p;
        !           325:   FUNC t;
        !           326:   PF pf;
        !           327:   PFINS ins;
        !           328:
        !           329:   p = (P)ARG0(arg);
        !           330:   if ( !ISPFINS(p) )
        !           331:     *rp = 0;
        !           332:   else {
        !           333:     ins = (PFINS)VR(p)->priv; pf = ins->pf;
        !           334:     t = (FUNC)MALLOC(sizeof(struct oFUNC));
        !           335:     t->name = t->fullname = pf->name; t->id = A_PURE; t->argc = pf->argc;
        !           336:     t->f.puref = pf;
        !           337:     makesrvar(t,rp);
        !           338:   }
        !           339: }
        !           340:
        !           341: void Pargs(NODE arg,LIST *rp)
        !           342: {
        !           343:   P p;
        !           344:   PF pf;
        !           345:   PFAD ad;
        !           346:   PFINS ins;
        !           347:   NODE n,n0;
        !           348:   int i;
        !           349:
        !           350:   p = (P)ARG0(arg);
        !           351:   if ( !ISPFINS(p) )
        !           352:     *rp = 0;
        !           353:   else {
        !           354:     ins = (PFINS)VR(p)->priv; ad = ins->ad; pf = ins->pf;
        !           355:     for ( i = 0, n0 = 0; i < pf->argc; i++ ) {
        !           356:       NEXTNODE(n0,n); BDY(n) = (pointer)ad[i].arg;
        !           357:     }
        !           358:     if ( n0 )
        !           359:       NEXT(n) = 0;
        !           360:     MKLIST(*rp,n0);
        !           361:   }
        !           362: }
        !           363:
        !           364: void Pfunargs(NODE arg,LIST *rp)
        !           365: {
        !           366:   P p;
        !           367:   P f;
        !           368:   FUNC t;
        !           369:   PF pf;
        !           370:   PFINS ins;
        !           371:   PFAD ad;
        !           372:   NODE n,n0;
        !           373:   int i;
        !           374:
        !           375:   p = (P)ARG0(arg);
        !           376:   if ( !ISPFINS(p) )
        !           377:     *rp = 0;
        !           378:   else {
        !           379:     ins = (PFINS)VR(p)->priv; ad = ins->ad; pf = ins->pf;
        !           380:     t = (FUNC)MALLOC(sizeof(struct oFUNC));
        !           381:     t->name = t->fullname = pf->name; t->id = A_PURE; t->argc = pf->argc;
        !           382:     t->f.puref = pf;
        !           383:     makesrvar(t,&f);
        !           384:     n = n0 = 0; NEXTNODE(n0,n); BDY(n) = (pointer)f;
        !           385:     for ( i = 0; i < pf->argc; i++ ) {
        !           386:       NEXTNODE(n0,n); BDY(n) = (pointer)ad[i].arg;
        !           387:     }
        !           388:     NEXT(n) = 0;
        !           389:     MKLIST(*rp,n0);
        !           390:   }
        !           391: }
        !           392:
        !           393: void Pfunargs_ext(NODE arg,LIST *rp)
        !           394: {
        !           395:   P p;
        !           396:   P f;
        !           397:   FUNC t;
        !           398:   PF pf;
        !           399:   PFINS ins;
        !           400:   PFAD ad;
        !           401:   NODE n,n0,d,d0,a,a0;
        !           402:   LIST alist,dlist;
        !           403:   Z q;
        !           404:   int i;
        !           405:
        !           406:   p = (P)ARG0(arg);
        !           407:   if ( !ISPFINS(p) )
        !           408:     *rp = 0;
        !           409:   else {
        !           410:     ins = (PFINS)VR(p)->priv; ad = ins->ad; pf = ins->pf;
        !           411:     t = (FUNC)MALLOC(sizeof(struct oFUNC));
        !           412:     t->name = t->fullname = pf->name; t->id = A_PURE; t->argc = pf->argc;
        !           413:     t->f.puref = pf;
        !           414:     makesrvar(t,&f);
        !           415:
        !           416:     d0 = a0 = 0;
        !           417:     for ( i = 0; i < pf->argc; i++ ) {
        !           418:       NEXTNODE(d0,d); STOQ(ad[i].d,q); BDY(d) = (pointer)q;
        !           419:       NEXTNODE(a0,a); BDY(a) = (pointer)ad[i].arg;
        !           420:     }
        !           421:     NEXT(d) = 0; NEXT(a) = 0; MKLIST(alist,a0); MKLIST(dlist,d0);
        !           422:
        !           423:     n0 = mknode(3,f,dlist,alist);
        !           424:     MKLIST(*rp,n0);
        !           425:   }
        !           426: }
        !           427:
        !           428: void Pvtype(NODE arg,Z *rp)
        !           429: {
        !           430:   P p;
        !           431:
        !           432:   p = (P)ARG0(arg);
        !           433:   if ( !p || ID(p) != O_P )
        !           434:     *rp = 0;
        !           435:   else
        !           436:     STOQ((long)VR(p)->attr,*rp);
        !           437: }
        !           438:
        !           439: extern NODE user_int_handler,user_quit_handler;
        !           440:
        !           441: void Pregister_handler(NODE arg,Z *rp)
        !           442: {
        !           443:   P p;
        !           444:   V v;
        !           445:   NODE n;
        !           446:   FUNC func;
        !           447:
        !           448:   p = (P)ARG0(arg);
        !           449:   if ( !p ) {
        !           450:     user_int_handler = 0;
        !           451:     *rp = 0;
        !           452:     return;
        !           453:   } else if ( OID(p) != 2 )
        !           454:     error("register_hanlder : invalid argument");
        !           455:   v = VR(p);
        !           456:   if ( (long)v->attr != V_SR )
        !           457:     error("register_hanlder : no such function");
        !           458:   else {
        !           459:     func = (FUNC)v->priv;
        !           460:     if ( func->argc )
        !           461:       error("register_hanlder : the function must be with no argument");
        !           462:     else {
        !           463:       MKNODE(n,(pointer)func,user_int_handler);
        !           464:       user_int_handler = n;
        !           465:       *rp = ONE;
        !           466:     }
        !           467:   }
        !           468: }
        !           469:
        !           470: void Padd_handler(NODE arg,Z *rp)
        !           471: {
        !           472:   P p;
        !           473:   V v;
        !           474:   NODE n;
        !           475:   FUNC func;
        !           476:   char *name;
        !           477:   NODE *hlistp;
        !           478:
        !           479:   asir_assert(ARG0(arg),O_STR,"add_handler");
        !           480:   name = BDY((STRING)ARG0(arg));
        !           481:   p = (P)ARG1(arg);
        !           482:   if ( !strcmp(name,"intr") )
        !           483:     hlistp = &user_int_handler;
        !           484:   else if ( !strcmp(name,"quit") )
        !           485:     hlistp = &user_quit_handler;
        !           486:   else
        !           487:     error("add_handler : invalid keyword (must be \"intr\" or \"quit\")");
        !           488:   if ( !p ) {
        !           489:     *hlistp = 0; *rp = 0;
        !           490:     return;
        !           491:   }
        !           492:   if ( OID(p) == 2 ) {
        !           493:     v = VR(p);
        !           494:     if ( (long)v->attr != V_SR )
        !           495:       error("add_hanlder : no such function");
        !           496:     func = (FUNC)v->priv;
        !           497:   } else if ( OID(p) == O_STR ) {
        !           498:     gen_searchf_searchonly(BDY((STRING)p),&func,0);
        !           499:     if ( !func )
        !           500:       error("add_hanlder : no such function");
        !           501:   }
        !           502:   if ( func->argc )
        !           503:     error("register_hanlder : the function must be with no argument");
        !           504:   else {
        !           505:     MKNODE(n,(pointer)func,*hlistp);
        !           506:     *hlistp = n;
        !           507:     *rp = ONE;
        !           508:   }
        !           509: }
        !           510:
        !           511: void Plist_handler(NODE arg,LIST *rp)
        !           512: {
        !           513:   NODE r0,r,t;
        !           514:   char *name;
        !           515:   NODE hlist;
        !           516:   STRING fname;
        !           517:
        !           518:   asir_assert(ARG0(arg),O_STR,"list_handler");
        !           519:   name = BDY((STRING)ARG0(arg));
        !           520:   if ( !strcmp(name,"intr") )
        !           521:     hlist = user_int_handler;
        !           522:   else if ( !strcmp(name,"quit") )
        !           523:     hlist = user_quit_handler;
        !           524:   else
        !           525:     error("list_handler : invalid keyword (must be \"intr\" or \"quit\")");
        !           526:   for ( r0 = 0, t = hlist; t; t = NEXT(t) ) {
        !           527:     NEXTNODE(r0,r);
        !           528:     MKSTR(fname,((FUNC)BDY(t))->fullname);
        !           529:     BDY(r) = (pointer)fname;
        !           530:   }
        !           531:   if ( r0 ) NEXT(r) = 0;
        !           532:   MKLIST(*rp,r0);
        !           533: }
        !           534:
        !           535: void Pclear_handler(NODE arg,Z *rp)
        !           536: {
        !           537:   NODE r0,r,t;
        !           538:   char *name;
        !           539:   NODE hlist;
        !           540:   STRING fname;
        !           541:
        !           542:   asir_assert(ARG0(arg),O_STR,"clear_handler");
        !           543:   name = BDY((STRING)ARG0(arg));
        !           544:   if ( !strcmp(name,"intr") )
        !           545:     user_int_handler = 0;
        !           546:   else if ( !strcmp(name,"quit") )
        !           547:     user_quit_handler = 0;
        !           548:   else
        !           549:     error("clear_handler : invalid keyword (must be \"intr\" or \"quit\")");
        !           550:   *rp = 0;
        !           551: }
        !           552:
        !           553: void Pcall(NODE arg,Obj *rp)
        !           554: {
        !           555:   P p;
        !           556:   V v;
        !           557:     NODE n,n1;
        !           558:     LIST list;
        !           559:     VECT vect;
        !           560:     pointer *a;
        !           561:     int len,i;
        !           562:
        !           563:   p = (P)ARG0(arg);
        !           564:   if ( !p || OID(p) != 2 )
        !           565:     error("call : invalid argument");
        !           566:   v = VR(p);
        !           567:   if ( (long)v->attr != V_SR )
        !           568:     error("call : no such function");
        !           569:   else {
        !           570:         list = (LIST) ARG1(arg);
        !           571:         if ( list ) {
        !           572:             switch (OID(list)) {
        !           573:             case O_VECT:
        !           574:                 vect = (VECT)list; len = vect->len; a = BDY(vect);
        !           575:                 for ( i = len - 1, n = 0; i >= 0; i-- ) {
        !           576:                     MKNODE(n1,a[i],n); n = n1;
        !           577:                 }
        !           578:                 MKLIST(list,n);
        !           579:                 /* falling next case */
        !           580:             case O_LIST:
        !           581:                 *rp = (Obj)bevalf_with_opts((FUNC)v->priv,BDY(list),current_option);
        !           582:                 return;
        !           583:             default:
        !           584:                 break;
        !           585:             }
        !           586:         }
        !           587:         error("call : invalid argument");
        !           588:   }
        !           589: }
        !           590:
        !           591: /* at=position of arg to be used for iteration */
        !           592:
        !           593: void Pmapat(NODE arg,Obj *rp)
        !           594: {
        !           595:   LIST args;
        !           596:   NODE node,rest,t0,t,n,r,r0;
        !           597:   P fpoly;
        !           598:   V fvar;
        !           599:   FUNC f;
        !           600:   VECT v,rv;
        !           601:   MAT m,rm;
        !           602:   LIST rl;
        !           603:   int len,row,col,i,j,pos;
        !           604:   Obj iter;
        !           605:   pointer val;
        !           606:   NODE option;
        !           607:
        !           608:   option = current_option;
        !           609:
        !           610:   if ( argc(arg) < 3 )
        !           611:     error("mapat : too few arguments");
        !           612:
        !           613:   fpoly = (P)ARG0(arg);
        !           614:   if ( !fpoly || OID(fpoly) != O_P )
        !           615:     error("mapat : invalid function specification");
        !           616:   fvar = VR(fpoly);
        !           617:   if ( fvar->attr != (pointer)V_SR || !(f=(FUNC)fvar->priv) )
        !           618:     error("mapat : invalid function specification");
        !           619:   if ( !INT(ARG1(arg)) )
        !           620:     error("mapat : invalid position");
        !           621:   pos = QTOS((Q)ARG1(arg));
        !           622:   node = NEXT(NEXT(arg));
        !           623:   len = length(node);
        !           624:   if ( pos >= len )
        !           625:     error("evalmapatf : invalid position");
        !           626:   r0 = 0;
        !           627:   for ( i = 0, t = node; i < pos; i++, t = NEXT(t) ) {
        !           628:     NEXTNODE(r0,r);
        !           629:     BDY(r) = BDY(t);
        !           630:   }
        !           631:   NEXTNODE(r0,r);
        !           632:   iter = BDY(t); rest = NEXT(t);
        !           633:   if ( !iter ) {
        !           634:     *rp = bevalf_with_opts(f,node,option);
        !           635:     return;
        !           636:   }
        !           637:   switch ( OID(iter) ) {
        !           638:     case O_VECT:
        !           639:       v = (VECT)iter; len = v->len; MKVECT(rv,len);
        !           640:       for ( i = 0; i < len; i++ ) {
        !           641:         BDY(r) = BDY(v)[i]; NEXT(r) = rest;
        !           642:         BDY(rv)[i] = bevalf_with_opts(f,r0,option);
        !           643:       }
        !           644:       *rp = (Obj)rv;
        !           645:       break;
        !           646:     case O_MAT:
        !           647:       m = (MAT)iter; row = m->row; col = m->col; MKMAT(rm,row,col);
        !           648:       for ( i = 0; i < row; i++ )
        !           649:         for ( j = 0; j < col; j++ ) {
        !           650:           BDY(r) = BDY(m)[i][j]; NEXT(r) = rest;
        !           651:           BDY(rm)[i][j] = bevalf_with_opts(f,r0,option);
        !           652:         }
        !           653:       *rp = (Obj)rm;
        !           654:       break;
        !           655:     case O_LIST:
        !           656:       n = BDY((LIST)iter);
        !           657:       for ( t0 = t = 0; n; n = NEXT(n) ) {
        !           658:         BDY(r) = BDY(n); NEXT(r) = rest;
        !           659:         NEXTNODE(t0,t); BDY(t) = bevalf_with_opts(f,r0,option);
        !           660:       }
        !           661:       if ( t0 )
        !           662:         NEXT(t) = 0;
        !           663:       MKLIST(rl,t0);
        !           664:       *rp = (Obj)rl;
        !           665:       break;
        !           666:     default:
        !           667:       *rp = bevalf_with_opts(f,node,option);
        !           668:       break;
        !           669:   }
        !           670: }
        !           671:
        !           672: /* An implementation of 'map' as builtin function. */
        !           673: void Pmap(NODE arg,Obj *rp)
        !           674: {
        !           675:   LIST args;
        !           676:   NODE node,rest,t0,t,n,r,r0;
        !           677:   P fpoly;
        !           678:   V fvar;
        !           679:   FUNC f;
        !           680:   VECT v,rv;
        !           681:   MAT m,rm;
        !           682:   LIST rl;
        !           683:   int len,row,col,i,j;
        !           684:   Obj iter;
        !           685:   pointer val;
        !           686:   NODE option;
        !           687:
        !           688:   option = current_option;
        !           689:
        !           690:   if ( argc(arg) < 2 )
        !           691:     error("mapat : too few arguments");
        !           692:
        !           693:   fpoly = (P)ARG0(arg);
        !           694:   if ( !fpoly || OID(fpoly) != O_P )
        !           695:     error("map : invalid function specification");
        !           696:   fvar = VR(fpoly);
        !           697:   if ( fvar->attr != (pointer)V_SR || !(f=(FUNC)fvar->priv) )
        !           698:     error("map : invalid function specification");
        !           699:
        !           700:   node = NEXT(arg);
        !           701:   len = length(node);
        !           702:   if ( 0 >= len )
        !           703:     error("evalmapf : invalid position");
        !           704:   r0 = 0;
        !           705:   NEXTNODE(r0,r);
        !           706:   iter = BDY(node); rest = NEXT(node);
        !           707:   if ( !iter ) {
        !           708:     *rp = bevalf_with_opts(f,node,option);
        !           709:     return;
        !           710:   }
        !           711:   switch ( OID(iter) ) {
        !           712:     case O_VECT:
        !           713:       v = (VECT)iter; len = v->len; MKVECT(rv,len);
        !           714:       for ( i = 0; i < len; i++ ) {
        !           715:         BDY(r) = BDY(v)[i]; NEXT(r) = rest;
        !           716:         BDY(rv)[i] = bevalf_with_opts(f,r0,option);
        !           717:       }
        !           718:       *rp = (Obj)rv;
        !           719:       break;
        !           720:     case O_MAT:
        !           721:       m = (MAT)iter; row = m->row; col = m->col; MKMAT(rm,row,col);
        !           722:       for ( i = 0; i < row; i++ )
        !           723:         for ( j = 0; j < col; j++ ) {
        !           724:           BDY(r) = BDY(m)[i][j]; NEXT(r) = rest;
        !           725:           BDY(rm)[i][j] = bevalf_with_opts(f,r0,option);
        !           726:         }
        !           727:       *rp = (Obj)rm;
        !           728:       break;
        !           729:     case O_LIST:
        !           730:       n = BDY((LIST)iter);
        !           731:       for ( t0 = t = 0; n; n = NEXT(n) ) {
        !           732:         BDY(r) = BDY(n); NEXT(r) = rest;
        !           733:         NEXTNODE(t0,t); BDY(t) = bevalf_with_opts(f,r0,option);
        !           734:       }
        !           735:       if ( t0 )
        !           736:         NEXT(t) = 0;
        !           737:       MKLIST(rl,t0);
        !           738:       *rp = (Obj)rl;
        !           739:       break;
        !           740:     default:
        !           741:       *rp = bevalf_with_opts(f,node,option);
        !           742:       break;
        !           743:   }
        !           744: }
        !           745:
        !           746: void Pdeval(NODE arg,Obj *rp)
        !           747: {
        !           748:   asir_assert(ARG0(arg),O_R,"deval");
        !           749:   devalr(CO,(Obj)ARG0(arg),rp);
        !           750: }
        !           751:
        !           752: void Peval_quote(NODE arg,Obj *rp)
        !           753: {
        !           754:   FNODE a;
        !           755:   QUOTE q;
        !           756:   Obj f;
        !           757:
        !           758:   f = (Obj)ARG0(arg);
        !           759:   if ( !f || OID(f) != O_QUOTE ) {
        !           760:     *rp = f;
        !           761:     return;
        !           762:   }
        !           763:   if ( argc(arg) == 2 && ARG1(arg) ) {
        !           764:     a = partial_eval((FNODE)BDY((QUOTE)ARG0(arg)));
        !           765:     MKQUOTE(q,a);
        !           766:     *rp = (Obj)q;
        !           767:   } else
        !           768:     *rp = eval((FNODE)BDY((QUOTE)ARG0(arg)));
        !           769: }

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