/* $OpenXM: OpenXM_contrib2/asir2018/builtin/parif.c,v 1.5 2020/11/10 04:48:49 noro Exp $ */ #include "ca.h" #include "parse.h" #include "ox.h" Q ox_pari_stream; int ox_pari_stream_initialized = 0; int ox_get_pari_result = 0; P ox_pari_starting_function = 0; typedef void (*mpfr_func)(NODE,Obj *); void Pmpfr_ai(); void Pmpfr_eint(), Pmpfr_erf(),Pmpfr_li2(); void Pmpfr_zeta(); void Pmpfr_j0(), Pmpfr_j1(); void Pmpfr_y0(), Pmpfr_y1(); void Pmpfr_gamma(), Pmpfr_lngamma(), Pmpfr_digamma(); void Pmpfr_floor(), Pmpfr_round(), Pmpfr_ceil(); void Pox_shutdown(NODE arg,Q *rp); void Pox_launch_nox(NODE arg,Obj *rp); void Pox_launch(NODE arg,Obj *rp); void Pox_push_cmo(NODE arg,Obj *rp); void Pox_pop_cmo(NODE arg,Obj *rp); void Pox_execute_function(NODE arg,Obj *rp); int debug_pari; struct mpfr_tab_rec { char *name; mpfr_func func; } mpfr_tab[] = { {"ai",Pmpfr_ai}, {"zeta",Pmpfr_zeta}, {"j0",Pmpfr_j0}, {"j1",Pmpfr_j1}, {"y0",Pmpfr_y0}, {"y1",Pmpfr_y1}, {"eint",Pmpfr_eint}, {"erf",Pmpfr_erf}, {"li2",Pmpfr_li2}, {"gamma",Pmpfr_gamma}, {"lngamma",Pmpfr_gamma}, {"digamma",Pmpfr_gamma}, {"floor",Pmpfr_floor}, {"ceil",Pmpfr_ceil}, {"round",Pmpfr_round}, }; mpfr_func mpfr_search(char *name) { int i,n; n = sizeof(mpfr_tab)/sizeof(struct mpfr_tab_rec); for ( i = 0; i < n; i++ ) if ( !strcmp(name,mpfr_tab[i].name) ) return mpfr_tab[i].func; return 0; } Obj list_to_vect(Obj a) { int len,i; VECT v; NODE nd; if ( !a || OID(a) != O_LIST ) return a; len = length(BDY((LIST)a)); MKVECT(v,len); for ( i = 0, nd = BDY((LIST)a); nd; nd = NEXT(nd), i++ ) v->body[i] = (pointer)list_to_vect((Obj)BDY(nd)); return (Obj)v; } Obj vect_to_mat(VECT v) { MAT m; int len,col,i,j; len = v->len; if ( v->body[0] && OID((Obj)v->body[0]) == O_VECT ) { col = ((VECT)v->body[0])->len; for ( i = 1; i < len; i++ ) if ( !v->body[i] || OID((Obj)v->body[i]) != O_VECT || ((VECT)v->body[i])->len != col ) break; if ( i == len ) { /* convert to a matrix */ MKMAT(m,len,col); for ( i = 0; i < len; i++ ) for ( j = 0; j < col; j++ ) m->body[i][j] = ((VECT)v->body[i])->body[j]; return (Obj)m; } } return (Obj)v; } void reset_ox_pari() { NODE nd; Q r; if ( ox_get_pari_result ) { nd = mknode(1,ox_pari_stream); Pox_shutdown(nd,&r); ox_get_pari_result = 0; ox_pari_stream_initialized = 0; } } void pari_setprec(long n) { struct oFUNC f; Z z; NODE arg; f.name = f.fullname = "pari_setprec"; f.id = A_PARI; f.argc = 1; f.f.binf = 0; STOZ(n,z); arg = mknode(1,z); evalparif(&f,arg); } /* decimal precision */ long mpfrprec = 0; pointer evalparif(FUNC f,NODE arg) { long prec; int ac,intarg,opt; Q q,r,cmd; Z narg; Real sec; NODE nd,oxarg,t,t1,n; STRING name; USINT ui; LIST list; Obj ret,dmy; mpfr_func mpfr_function; V v; if ( arg && (!ARG0(arg) || (NUM(ARG0(arg)) && NID((Num)ARG0(arg)) != N_C)) && (mpfr_function = mpfr_search(f->name)) ) { (*mpfr_function)(arg,&ret); return (pointer) ret; } if ( !ox_pari_stream_initialized ) { if ( ox_pari_starting_function && OID(ox_pari_starting_function) == O_P ) { v = VR(ox_pari_starting_function); if ( (long)v->attr != V_SR ) { error("pari : no handler."); } MKNODE(nd,0,0); r = (Q)bevalf((FUNC)v->priv,0); }else { #if !defined(VISUAL) MKSTR(name,"ox_pari"); nd = mknode(2,NULL,name); if ( debug_pari ) Pox_launch(nd,(Obj *)&r); else Pox_launch_nox(nd,(Obj *)&r); #else error("Please load names.rr from latest asir-contrib library before using pari functions."); #endif } ox_pari_stream = r; ox_pari_stream_initialized = 1; } prec = mpfr_get_default_prec()*0.30103+1; if ( prec != mpfrprec ) { mpfrprec = prec; pari_setprec(prec); } ac = argc(arg); /* reverse the arg list */ for ( n = arg, t = 0; n; n = NEXT(n) ) { MKNODE(t1,BDY(n),t); t = t1; } /* push the reversed arg list */ for ( ; t; t = NEXT(t) ) { oxarg = mknode(2,ox_pari_stream,BDY(t)); Pox_push_cmo(oxarg,&dmy); } MKSTR(name,f->name); STOZ(ac,narg); oxarg = mknode(3,ox_pari_stream,name,narg); Pox_execute_function(oxarg,&dmy); ox_get_pari_result = 1; #if defined(VISUAL) || defined(__MINGW32__) #define SM_popCMO 262 STOZ(SM_popCMO,cmd); oxarg = mknode(2,ox_pari_stream,cmd); Pox_push_cmd(oxarg,&dmy); nd = mknode(1,ox_pari_stream); MKLIST(list,nd); MKReal(1.0/8,sec); oxarg = mknode(2,list,sec); ret=0; do { check_intr(); Pox_select(oxarg,&list); oxarg = mknode(1,list); Plength(oxarg,&ret); }while (!ret); oxarg = mknode(1,ox_pari_stream); Pox_get(oxarg,&ret); #else oxarg = mknode(1,ox_pari_stream); Pox_pop_cmo(oxarg,&ret); #endif ox_get_pari_result = 0; if ( ret && OID(ret) == O_ERR ) { char buf[BUFSIZ]; soutput_init(buf); sprintexpr(CO,((ERR)ret)->body); error(buf); } if ( ret && OID(ret) == O_LIST ) { ret = list_to_vect(ret); ret = vect_to_mat((VECT)ret); } return ret; } struct pariftab { char *name; int dmy; int type; }; /* * type = 1 => argc = 1, second arg = precision * type = 2 => argc = 1, second arg = (long int)0 * */ /* {"abs",0,1}, {"adj",0,1}, */ struct pariftab pariftab[] = { {"arg",0,1}, {"bigomega",0,1}, {"binary",0,1}, {"ceil",0,1}, {"centerlift",0,1}, {"cf",0,1}, {"classno",0,1}, {"classno2",0,1}, {"conj",0,1}, {"content",0,1}, {"denom",0,1}, {"det",0,1}, {"det2",0,1}, {"dilog",0,1}, {"disc",0,1}, {"discf",0,1}, {"divisors",0,1}, {"eigen",0,1}, {"eintg1",0,1}, {"erfc",0,1}, {"eta",0,1}, {"floor",0,1}, {"frac",0,1}, {"galois",0,1}, {"galoisconj",0,1}, {"gamh",0,1}, {"gamma",0,1}, {"hclassno",0,1}, {"hermite",0,1}, {"hess",0,1}, {"imag",0,1}, {"image",0,1}, {"image2",0,1}, {"indexrank",0,1}, {"indsort",0,1}, {"initalg",0,1}, {"isfund",0,1}, {"ispsp",0,1}, {"isqrt",0,1}, {"issqfree",0,1}, {"issquare",0,1}, {"jacobi",0,1}, {"jell",0,1}, {"ker",0,1}, {"keri",0,1}, {"kerint",0,1}, {"kerintg1",0,1}, {"length",0,1}, {"lexsort",0,1}, {"lift",0,1}, {"lindep",0,1}, {"lll",0,1}, {"lllgen",0,1}, {"lllgram",0,1}, {"lllgramgen",0,1}, {"lllgramint",0,1}, {"lllgramkerim",0,1}, {"lllgramkerimgen",0,1}, {"lllint",0,1}, {"lllkerim",0,1}, {"lllkerimgen",0,1}, {"lngamma",0,1}, {"logagm",0,1}, {"mat",0,1}, {"matrixqz2",0,1}, {"matrixqz3",0,1}, {"matsize",0,1}, {"modreverse",0,1}, {"mu",0,1}, {"nextprime",0,1}, {"norm",0,1}, {"norml2",0,1}, {"numdiv",0,1}, {"numer",0,1}, {"omega",0,1}, {"order",0,1}, {"ordred",0,1}, {"phi",0,1}, {"pnqn",0,1}, {"polred",0,1}, {"polred2",0,1}, {"primroot",0,1}, {"psi",0,1}, {"quadgen",0,1}, {"quadpoly",0,1}, {"real",0,1}, {"recip",0,1}, {"redreal",0,1}, {"regula",0,1}, {"reorder",0,1}, {"reverse",0,1}, {"rhoreal",0,1}, {"roots",0,1}, {"round",0,1}, {"sigma",0,1}, {"signat",0,1}, {"simplify",0,1}, {"smalldiscf",0,1}, {"smallfact",0,1}, {"smallpolred",0,1}, {"smallpolred2",0,1}, {"smith",0,1}, {"smith2",0,1}, {"sort",0,1}, {"sqr",0,1}, {"sqred",0,1}, {"sqrt",0,1}, {"supplement",0,1}, {"trace",0,1}, {"trans",0,1}, {"trunc",0,1}, {"unit",0,1}, {"vec",0,1}, {"wf",0,1}, {"wf2",0,1}, {"zeta",0,1}, {"factor",0,1}, {"allocatemem",0,0}, {"factpol",0,2}, {"isprime",0,2}, {"factorint",0,2}, {0,0,0}, }; void parif_init() { int i; for ( i = 0, parif = 0; pariftab[i].name; i++ ) appendparif(&parif,pariftab[i].name, 0,pariftab[i].type); }