version 1.1, 2018/09/19 05:45:07 |
version 1.6, 2019/11/12 10:53:22 |
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/* |
/* |
* $OpenXM$ |
* $OpenXM: OpenXM_contrib2/asir2018/engine/p-itv.c,v 1.5 2019/11/07 08:50:49 kondoh Exp $ |
*/ |
*/ |
#if defined(INTERVAL) |
#if defined(INTERVAL) |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
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#if 0 |
#if defined(PARI) |
#if defined(PARI) |
#include "genpari.h" |
#include "genpari.h" |
#endif |
#endif |
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#endif |
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// in engine/bf.c |
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Num tobf(Num,int); |
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//int initvp(Num , Itv ); |
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extern int mpfr_roundmode; |
extern int zerorewrite; |
extern int zerorewrite; |
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void itvtois(Itv a, Num *inf, Num *sup) |
void itvtois(Itv a, Num *inf, Num *sup) |
Line 16 void itvtois(Itv a, Num *inf, Num *sup) |
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Line 23 void itvtois(Itv a, Num *inf, Num *sup) |
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*inf = *sup = (Num)0; |
*inf = *sup = (Num)0; |
else if ( NID(a) <= N_B ) { |
else if ( NID(a) <= N_B ) { |
*inf = (Num)a; *sup = (Num)a; |
*inf = (Num)a; *sup = (Num)a; |
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} else if ( ITVD(a) ) { |
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double dinf, dsup; |
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Real rinf, rsup; |
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dinf = INF((IntervalDouble)a); dsup = SUP((IntervalDouble)a); |
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MKReal(dinf, rinf); MKReal(dsup, rsup); |
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*inf = (Num)rinf; *sup = (Num)rsup; |
} else { |
} else { |
*inf = INF(a); |
*inf = INF(a); |
*sup = SUP(a); |
*sup = SUP(a); |
Line 24 void itvtois(Itv a, Num *inf, Num *sup) |
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Line 37 void itvtois(Itv a, Num *inf, Num *sup) |
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void istoitv(Num inf, Num sup, Itv *rp) |
void istoitv(Num inf, Num sup, Itv *rp) |
{ |
{ |
Num i, s; |
Num ii, ss; |
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Num ni, ns; |
Itv c; |
Itv c; |
int type=0; |
int type=0; |
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int current_roundmode; |
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if ( !inf && !sup ) { |
if ( !inf && !sup ) { |
*rp = 0; |
*rp = 0; |
return; |
return; |
} |
} |
if ( !sup ) { |
if ( compnum(0,sup,inf) >= 0 ) { |
s = 0; |
ns = sup; ni = inf; |
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} else { |
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ni = sup; ns = inf; |
} |
} |
else if ( NID( sup )==N_B ) { |
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current_roundmode = mpfr_roundmode; |
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if ( !ns ) { |
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ss = 0; |
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} |
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else if ( NID( ns )==N_B ) { |
type = 1; |
type = 1; |
ToBf(sup, (BF *)&s); |
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mpfr_roundmode = MPFR_RNDU; |
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ss = tobf(ns, DEFAULTPREC); |
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//ToBf(sup, (BF *)&s); |
} else { |
} else { |
s = sup; |
ss = ns; |
} |
} |
if ( !inf ) { |
if ( !ni ) { |
i = 0; |
ii = 0; |
} |
} |
else if ( NID( inf )==N_B ) { |
else if ( NID( ni )==N_B ) { |
type = 1; |
type = 1; |
ToBf(inf, (BF *)&i); |
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mpfr_roundmode = MPFR_RNDD; |
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ii = tobf(ni, DEFAULTPREC); |
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//ToBf(inf, (BF *)&i); |
} else { |
} else { |
i = inf; |
ii = ni; |
} |
} |
if ( type ) { |
mpfr_roundmode = current_roundmode; |
// NEWIntervalBigFloat((IntervalBigFloat)c); |
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c=MALLOC(sizeof(struct oIntervalBigFloat)); |
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OID(c)=O_N; |
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NID(c)=N_IntervalBigFloat; |
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} else |
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NEWItvP(c); |
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if ( compnum(0,i,s) >= 0 ) { |
if ( type ) { |
INF(c) = s; SUP(c) = i; |
IntervalBigFloat cc; |
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NEWIntervalBigFloat(cc); |
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c = (Itv)cc; |
} else { |
} else { |
INF(c) = i; SUP(c) = s; |
NEWItvP(c); |
} |
} |
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INF(c) = ii; SUP(c) = ss; |
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if (zerorewrite) |
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if ( initvp(0,c) ) { |
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*rp = 0; |
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return; |
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} |
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*rp = c; |
*rp = c; |
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ZEROREWRITE |
} |
} |
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void additvp(Itv a, Itv b, Itv *c) |
void additvp(Itv a, Itv b, Itv *c) |
Line 252 void divitvp(Itv a, Itv b, Itv *c) |
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Line 274 void divitvp(Itv a, Itv b, Itv *c) |
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void pwritvp(Itv a, Num e, Itv *c) |
void pwritvp(Itv a, Num e, Itv *c) |
{ |
{ |
int ei; |
long ei; |
Itv t; |
Itv t; |
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if ( !e ) |
if ( !e ) |
Line 268 void pwritvp(Itv a, Num e, Itv *c) |
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Line 290 void pwritvp(Itv a, Num e, Itv *c) |
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error("pwritv : can't calculate a fractional power"); |
error("pwritv : can't calculate a fractional power"); |
#endif |
#endif |
} else { |
} else { |
ei = QTOS((Q)e); |
//ei = QTOS((Q)e); |
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ei = mpz_get_si(BDY((Q)e)); |
pwritv0p(a,ei,&t); |
pwritv0p(a,ei,&t); |
if ( SGN((Q)e) < 0 ) |
// if ( SGN((Q)e) < 0 ) |
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if ( sgnq((Q)e) < 0 ) |
divnum(0,(Num)ONE,(Num)t,(Num *)c); |
divnum(0,(Num)ONE,(Num)t,(Num *)c); |
else |
else |
*c = t; |
*c = t; |
} |
} |
} |
} |
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void pwritv0p(Itv a, int e, Itv *c) |
void pwritv0p(Itv a, long e, Itv *c) |
{ |
{ |
Num inf, sup; |
Num inf, sup; |
Num ai,Xmin,Xmax; |
Num ai,Xmin,Xmax; |
Line 286 void pwritv0p(Itv a, int e, Itv *c) |
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Line 310 void pwritv0p(Itv a, int e, Itv *c) |
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if ( e == 1 ) |
if ( e == 1 ) |
*c = a; |
*c = a; |
else { |
else { |
STOQ(e,ne); |
STOZ(e,ne); |
if ( !(e%2) ) { |
if ( !(e%2) ) { |
if ( initvp(0,a) ) { |
if ( initvp(0,a) ) { |
Xmin = 0; |
Xmin = 0; |
Line 374 void miditvp(Itv a, Num *b) |
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Line 398 void miditvp(Itv a, Num *b) |
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else if ( (NID(a) <= N_B) ) |
else if ( (NID(a) <= N_B) ) |
*b = (Num)a; |
*b = (Num)a; |
else { |
else { |
STOQ(2,TWO); |
//STOZ(2,TWO); |
itvtois(a,&ai,&as); |
itvtois(a,&ai,&as); |
addnum(0,ai,as,&t); |
addnum(0,ai,as,&t); |
divnum(0,t,(Num)TWO,b); |
divnum(0,t,(Num)TWO,b); |
Line 442 void absitvp(Itv a, Num *b) |
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Line 466 void absitvp(Itv a, Num *b) |
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else *b = bs; |
else *b = bs; |
} |
} |
} |
} |
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void absintvalp(Itv a, Itv *c) |
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{ |
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Num ai,as,mai; |
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Num inf,sup; |
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itvtois(a,&ai,&as); |
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if ( compnum(0,as,0 ) < 0 ) { |
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chsgnnum(ai, &sup); |
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chsgnnum(as, &inf); |
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} else if ( compnum(0,ai,0) < 0 ) { |
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inf = 0; |
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chsgnnum(ai, &mai); |
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if ( compnum(0,as,mai ) > 0 ) sup = as; |
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else sup = mai; |
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} else { |
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inf = ai; |
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sup = as; |
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} |
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istoitv(inf,sup,c); |
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} |
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void distanceitvp(Itv a, Itv b, Num *c) |
void distanceitvp(Itv a, Itv b, Num *c) |
{ |
{ |