=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2018/builtin/isolv.c,v retrieving revision 1.1 retrieving revision 1.4 diff -u -p -r1.1 -r1.4 --- OpenXM_contrib2/asir2018/builtin/isolv.c 2018/09/19 05:45:06 1.1 +++ OpenXM_contrib2/asir2018/builtin/isolv.c 2019/12/24 10:26:38 1.4 @@ -1,23 +1,35 @@ /* - * $OpenXM$ + * $OpenXM: OpenXM_contrib2/asir2018/builtin/isolv.c,v 1.3 2019/10/17 03:03:12 kondoh Exp $ */ #include "ca.h" #include "parse.h" #include "version.h" -#if defined(INTERVAL) +#if defined(INTERVAL) +/* in Q.c */ +void dupz(Z, Z*); + static void Solve(NODE, Obj *); static void NSolve(NODE, Obj *); +/* in builtin/vars.c */ +void Pvars(); + +/* */ void Solve1(P, Q, pointer *); void Sturm(P, VECT *); void boundbody(P, Q *); void binary(int , MAT); void separate(Q, Q, VECT, Q, Q, int, int, MAT, int *); void ueval(P, Q, Q *); +int stumq(VECT, Q); + +// in engine/bf.c +Num tobf(Num,int); + struct ftab isolv_tab[] = { {"solve", Solve, 2}, {"nsolve", NSolve, 2}, @@ -29,25 +41,30 @@ Solve(arg, rp) NODE arg; Obj *rp; { - pointer p, Eps; - pointer root; - V v; - Q eps; + //pointer p, Eps; + pointer root; + V v; + Q eps; + Q Eps; + P p; - p = (pointer)ARG0(arg); + + p = (P)ARG0(arg); if ( !p ) { *rp = 0; return; } - Eps = (pointer)ARG1(arg); + Eps = (Q)ARG1(arg); asir_assert(Eps, O_N, "solve"); if ( NID(Eps) != N_Q ) { fprintf(stderr,"solve arg 2 is required a rational number"); error(" : invalid argument"); return; } - DUPQ((Q)Eps, eps); - SGN(eps) = 1; + //DUPQ((Q)Eps, eps); + //SGN(eps) = 1; + NEWQ(eps); mpq_abs(BDY(eps),BDY(Eps)); + switch (OID(p)) { case O_N: *rp = 0; @@ -59,7 +76,7 @@ Obj *rp; error(" : invalid argument"); break; } - Solve1((P)p, eps, &root); + Solve1(p, eps, &root); *rp = (Obj)root; break; case O_LIST: @@ -72,34 +89,35 @@ Obj *rp; } static void -NSolve(arg, rp) -NODE arg; -Obj *rp; +NSolve(NODE arg, Obj *rp) { - pointer p, Eps; + P p; + Q Eps; + Q eps; pointer root; LIST listp; V v; - Q eps; NODE n, n0, m0, m, ln0; Num r; Itv iv; BF breal; - p = (pointer)ARG0(arg); + p = (P)ARG0(arg); if ( !p ) { *rp = 0; return; } - Eps = (pointer)ARG1(arg); + Eps = (Q)ARG1(arg); asir_assert(Eps, O_N, "solve"); if ( NID(Eps) != N_Q ) { fprintf(stderr,"solve arg 2 is required a rational number"); error(" : invalid argument"); return; } - DUPQ((Q)Eps, eps); - SGN(eps) = 1; + //DUPQ((Q)Eps, eps); + //SGN(eps) = 1; + NEWQ(eps); mpq_abs(BDY(eps),BDY(Eps)); + switch (OID(p)) { case O_N: *rp = 0; @@ -111,11 +129,12 @@ Obj *rp; error(" : invalid argument"); break; } - Solve1((P)p, eps, &root); + Solve1(p, eps, &root); for (m0 = BDY((LIST)root), n0 = 0; m0; m0 = NEXT(m0)) { m = BDY((LIST)BDY(m0)); miditvp(BDY(m), &r); - ToBf(r, &breal); + //ToBf(r, &breal); + breal = (BF)tobf(r, DEFAULTPREC); NEXTNODE( n0, n ); MKNODE(ln0, breal, NEXT(m)); MKLIST(listp, ln0); @@ -156,8 +175,9 @@ pointer *rt; return; } Sturm(inp, &sseq); - DUPQ(up,low); - SGN(low) = -1; + //DUPQ(up,low); + //SGN(low) = -1; + NEWQ(low); mpq_neg(BDY(low),BDY(up)); chvu = stumq(sseq, up); chvl = stumq(sseq, low); tnumb = abs(chvu - chvl); @@ -168,7 +188,7 @@ pointer *rt; for (fctp = NEXT(fctp), i = 0; fctp; fctp = NEXT(fctp)) { p = COEF(fctp); onedeg = DC(p); - if ( !cmpq(DEG(onedeg), ONE) ) { + if ( !cmpz(DEG(onedeg), ONE) ) { pad++; if ( !NEXT(onedeg) ) { BDY(root)[pad][0] = 0; @@ -186,12 +206,13 @@ pointer *rt; } boundbody(p, &up); Sturm(p, &sseq); - DUPQ(up,low); - SGN(low) = -1; + //DUPQ(up,low); + //SGN(low) = -1; + NEWQ(low); mpq_neg(BDY(low),BDY(up)); chvu = stumq(sseq, up); chvl = stumq(sseq, low); numb = abs(chvu - chvl); - separate(DEG(fctp), eps, sseq, up, low, chvu, chvl, root, &pad); + separate((Q)DEG(fctp), eps, sseq, up, low, chvu, chvl, root, &pad); } for (i = 0; i < pad; i++) { for (j = i; j <= pad; j++) { @@ -254,6 +275,7 @@ int *padp; int de, midn; Q mid, e; P p; + Q tmp_e; de = abs(lown - upn); if (de == 0) return; @@ -262,18 +284,20 @@ int *padp; BDY(root)[*padp][0] = up; BDY(root)[*padp][1] = low; BDY(root)[*padp][3] = (P *)sseq->body[0]; - subq( BDY(root)[*padp][1], BDY(root)[*padp][0], &e ); - SGN(e) = 1; + subq( BDY(root)[*padp][1], BDY(root)[*padp][0], &tmp_e ); + //SGN(e) = 1; + absq(tmp_e, &e); while (cmpq(e, eps) > 0) { binary(*padp, root); - subq( BDY(root)[*padp][1], BDY(root)[*padp][0], &e); - SGN(e) = 1; + subq( BDY(root)[*padp][1], BDY(root)[*padp][0], &tmp_e); + //SGN(e) = 1; + absq(tmp_e, &e); } BDY(root)[*padp][2] = mult; return; } addq(up, low, &mid); - divq(mid, TWO, &mid); + divq(mid, (Q)TWO, &mid); midn = stumq(sseq, mid); separate(mult, eps, sseq, low, mid, lown, midn, root, padp); separate(mult, eps, sseq, mid, up, midn, upn, root, padp); @@ -288,10 +312,10 @@ MAT root; P p; p = (P)BDY(root)[indx][3]; addq(BDY(root)[indx][0], BDY(root)[indx][1], &c); - divq(c, TWO, &d); + divq(c, (Q)TWO, &d); ueval(p, BDY(root)[indx][1], &a); ueval(p, d, &b); - if (SGN(a) == SGN(b)){ + if (sgnq(a) == sgnq(b)){ BDY(root)[indx][1] = d; } else { BDY(root)[indx][0] = d; @@ -312,14 +336,18 @@ VECT *ret; v = VR(p); t = (P *)ALLOCA((deg(v,p)+1)*sizeof(P)); g1 = t[0] = p; diffp(CO,p,v,(P *)&a); ptozp((P)a,1,&c,&g2); t[1] = g2; - for ( i = 1, h = ONE, x = ONE; ; ) { + NEWQ(h); + NEWQ(x); + dupz(ONE, (Z *)&h); + dupz(ONE, (Z *)&x); + for ( i = 1; ; ) { if ( NUM(g2) ) break; - subq(DEG(DC(g1)),DEG(DC(g2)),&d); + subz(DEG(DC(g1)),DEG(DC(g2)),(Z*)&d); l = (Q)LC(g2); - if ( SGN(l) < 0 ) { + if ( sgnq(l) < 0 ) { chsgnq(l,&a); l = a; } - addq(d,ONE,&a); pwrq(l,a,&b); mulp(CO,(P)b,g1,(P *)&a); + addq(d,(Q)ONE,&a); pwrq(l,a,&b); mulp(CO,(P)b,g1,(P *)&a); divsrp(CO,(P)a,g2,&q,&r); if ( !r ) break; chsgnp(r,&s); r = s; i++; @@ -329,7 +357,7 @@ VECT *ret; pwrq(h,d,&m); g1 = g2; mulq(m,x,&a); divsp(CO,r,(P)a,&g2); t[i] = g2; x = (Q)LC(g1); - if ( SGN(x) < 0 ) { + if ( sgnq(x) < 0 ) { chsgnq(x,&a); x = a; } pwrq(x,d,&a); mulq(a,h,&b); divq(b,m,&h); @@ -340,9 +368,7 @@ VECT *ret; } int -stumq(s, val) -VECT s; -Q val; +stumq(VECT s, Q val) { int len, i, j, c; P *ss; @@ -357,7 +383,7 @@ Q val; for ( i = j++, c =0; i < len; i++) { ueval( ss[i], val, &a); if ( a ) { - if( (SGN(a) > 0 && SGN(a0) < 0) || (SGN(a) < 0 && SGN(a0) > 0) ){ + if( (sgnq(a) > 0 && sgnq(a0) < 0) || (sgnq(a) < 0 && sgnq(a0) > 0) ){ c++; a0 = a; } @@ -379,15 +405,17 @@ Q *q; else if ( p->id == O_N ) *q = 0; else { - NEWQ(tmp); - SGN(tmp)=1; - for ( dc = DC(p), max=0; dc; dc = NEXT(dc) ) { + //NEWQ(tmp); + //SGN(tmp)=1; + NEWQ(max); + for ( dc = DC(p); dc; dc = NEXT(dc) ) { t = (Q)COEF(dc); - NM(tmp)=NM(t); - DN(tmp)=DN(t); - if ( cmpq(tmp, max) > 0 ) DUPQ(tmp, max); + if ( cmpq(t, max) > 0 ) { //DUPQ(tmp, max); + mpq_abs(BDY(max),BDY(t)); + } } - addq(ONE, max, q); + addq((Q)ONE, max, q); + //mpq_clear(max); } } @@ -397,17 +425,21 @@ P p; Q q; Q *rp; { - Q d, d1, a, b, t; - Q deg, da; - Q nm, dn; + Z d, d1; + Z deg; + Q da; + Q a, b, t; + Z nm, dn; DCP dc; if ( !p ) *rp = 0; else if ( NUM(p) ) *rp = (Q)p; else { if ( q ) { - NTOQ( DN(q), 1, dn ); - NTOQ( NM(q), SGN(q), nm ); + //NTOQ( DN(q), 1, dn ); + dnq(q, &dn); + //NTOQ( NM(q), sgnq(q), nm ); + nmq(q, &nm); } else { dn = 0; nm = 0; @@ -415,24 +447,24 @@ Q *rp; if ( !dn ) { dc = DC(p); t = (Q)COEF(dc); for ( d = DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc= NEXT(dc) ) { - subq(d, DEG(dc), &d1); pwrq(nm, d1, &a); + subz(d, DEG(dc), &d1); pwrq((Q)nm, (Q)d1, &a); mulq(t,a,&b); addq(b,(Q)COEF(dc),&t); } if ( d ) { - pwrq(nm,d,&a); mulq(t,a,&b); t = b; + pwrq((Q)nm,(Q)d,&a); mulq(t,a,&b); t = b; } *rp = t; } else { dc = DC(p); t = (Q)COEF(dc); for ( d=deg= DEG(dc), dc = NEXT(dc); dc; d = DEG(dc), dc= NEXT(dc) ) { - subq(d, DEG(dc), &d1); pwrq(nm, d1, &a); + subz(d, DEG(dc), &d1); pwrq((Q)nm, (Q)d1, &a); mulq(t,a,&b); - subq(deg, DEG(dc), &d1); pwrq(dn, d1, &a); + subz(deg, DEG(dc), &d1); pwrq((Q)dn, (Q)d1, &a); mulq(a, (Q)COEF(dc), &da); addq(b,da,&t); } if ( d ) { - pwrq(nm,d,&a); mulq(t,a,&b); t = b; + pwrz(nm,d,(Z*)&a); mulq(t,a,&b); t = b; } *rp = t; }