version 1.12, 2015/08/06 10:01:52 |
version 1.16, 2019/06/04 07:11:22 |
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/* |
/* |
* $OpenXM: OpenXM_contrib2/asir2000/include/interval.h,v 1.11 2014/01/07 06:22:08 saito Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/include/interval.h,v 1.15 2018/03/29 01:32:53 noro Exp $ |
*/ |
*/ |
#ifndef _INTERVAL_H |
#ifndef _INTERVAL_H |
#define _INTERVAL_H |
#define _INTERVAL_H |
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#define PRINTF_G 0 |
#define INT_ASIR_VERSION 20181218 |
#define PRINTF_E 1 |
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#define PRINTF_G 0 |
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#define PRINTF_E 1 |
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#if defined(INTERVAL) |
#if defined(INTERVAL) |
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#include <math.h> |
#include <math.h> |
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#ifdef sun |
#ifdef sun |
#if OSMajorVersion < 4 || (OSMajorVersion == 4 && OSMinorVersion < 1) |
#if OSMajorVersion < 4 || (OSMajorVersion == 4 && OSMinorVersion < 1) |
#include <sys/ieeefp.h> |
#include <sys/ieeefp.h> |
#endif |
#endif |
#if defined(__svr4__) |
#if defined(__svr4__) |
#include <ieeefp.h> |
#include <ieeefp.h> |
#define FPNEAREST fpsetround(FP_RN); |
#define FPNEAREST fpsetround(FP_RN); |
#define FPPLUSINF fpsetround(FP_RP); |
#define FPPLUSINF fpsetround(FP_RP); |
#define FPMINUSINF fpsetround(FP_RM); |
#define FPMINUSINF fpsetround(FP_RM); |
#define FPTOZERO fpsetround(FP_RZ); |
#define FPTOZERO fpsetround(FP_RZ); |
#else |
#else |
static char *Interval_dummy; |
static char *Interval_dummy; |
#define FPNEAREST ieee_flags("clear", "direction", Interval_dummy, &Interval_dummy); |
#define FPNEAREST ieee_flags("clear", "direction", Interval_dummy, &Interval_dummy); |
#define FPPLUSINF ieee_flags("set", "direction", "positive", &Interval_dummy); |
#define FPPLUSINF ieee_flags("set", "direction", "positive", &Interval_dummy); |
#define FPMINUSINF ieee_flags("set", "direction", "negative", &Interval_dummy); |
#define FPMINUSINF ieee_flags("set", "direction", "negative", &Interval_dummy); |
#define FPTOZERO ieee_flags("set", "direction", "tozero", &Interval_dummy); |
#define FPTOZERO ieee_flags("set", "direction", "tozero", &Interval_dummy); |
#endif |
#endif |
#endif |
#endif |
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#ifdef linux |
#if 0 |
#include <fpu_control.h> |
#ifdef linux |
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#include <fpu_control.h> |
#if 1 |
#if 1 |
#define LINUX_FPU_RC_MASK 0xf3ff |
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#define LINUX_FPU_SETCW(c) \ |
#if defined(__ARM_ARCH) || defined(ANDROID) |
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#ifndef _FPU_RC_NEAREST |
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#define _FPU_RC_NEAREST 0x0 |
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#endif |
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#ifndef _FPU_RC_DOWN |
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#define _FPU_RC_DOWN 0x400 |
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#endif |
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#ifndef _FPU_RC_UP |
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#define _FPU_RC_UP 0x800 |
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#endif |
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#ifndef _FPU_RC_ZERO |
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#define _FPU_RC_ZERO 0xC00 |
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#endif |
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#endif /* __ARM_ARCH */ |
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#define LINUX_FPU_RC_MASK 0xf3ff |
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#define LINUX_FPU_SETCW(c) \ |
{fpu_control_t __tmp__; _FPU_GETCW(__fpu_control);\ |
{fpu_control_t __tmp__; _FPU_GETCW(__fpu_control);\ |
__tmp__ = (__fpu_control & LINUX_FPU_RC_MASK | c);\ |
__tmp__ = (__fpu_control & LINUX_FPU_RC_MASK | c);\ |
_FPU_SETCW(__tmp__);} |
_FPU_SETCW(__tmp__);} |
#define FPNEAREST LINUX_FPU_SETCW(_FPU_RC_NEAREST); |
#define FPNEAREST LINUX_FPU_SETCW(_FPU_RC_NEAREST); |
#define FPPLUSINF LINUX_FPU_SETCW(_FPU_RC_UP); |
#define FPPLUSINF LINUX_FPU_SETCW(_FPU_RC_UP); |
#define FPMINUSINF LINUX_FPU_SETCW(_FPU_RC_DOWN); |
#define FPMINUSINF LINUX_FPU_SETCW(_FPU_RC_DOWN); |
#define FPTOZERO LINUX_FPU_SETCW(_FPU_RC_ZERO); |
#define FPTOZERO LINUX_FPU_SETCW(_FPU_RC_ZERO); |
#else |
#else |
#define _FPU_DEFAULT_p_FPU_RC_UP 0x1b72 |
#define _FPU_DEFAULT_p_FPU_RC_UP 0x1b72 |
#define _FPU_DEFAULT_p_FPU_RC_DOWN 0x1772 |
#define _FPU_DEFAULT_p_FPU_RC_DOWN 0x1772 |
#define _FPU_DEFAULT_p_FPU_RC_ZERO 0x1f72 |
#define _FPU_DEFAULT_p_FPU_RC_ZERO 0x1f72 |
#define FPNEAREST __setfpucw(_FPU_DEFAULT); |
#define FPNEAREST __setfpucw(_FPU_DEFAULT); |
#define FPPLUSINF __setfpucw(_FPU_DEFAULT_p_FPU_RC_UP); |
#define FPPLUSINF __setfpucw(_FPU_DEFAULT_p_FPU_RC_UP); |
#define FPMINUSINF __setfpucw(_FPU_DEFAULT_p_FPU_RC_DOWN); |
#define FPMINUSINF __setfpucw(_FPU_DEFAULT_p_FPU_RC_DOWN); |
#define FPTOZERO __setfpucw(_FPU_DEFAULT_p_FPU_RC_ZERO); |
#define FPTOZERO __setfpucw(_FPU_DEFAULT_p_FPU_RC_ZERO); |
#endif |
#endif |
#endif |
#endif |
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#if defined(__osf__) |
#if defined(__osf__) |
#if 0 |
#if 0 |
#include <float.h> |
#include <float.h> |
#define FPNEAREST write_rnd(FP_RND_RN); |
#define FPNEAREST write_rnd(FP_RND_RN); |
#define FPPLUSINF write_rnd(FP_RND_RP); |
#define FPPLUSINF write_rnd(FP_RND_RP); |
#define FPMINUSINF write_rnd(FP_RND_RM); |
#define FPMINUSINF write_rnd(FP_RND_RM); |
#define FPTOZERO write_rnd(FP_RND_RZ); |
#define FPTOZERO write_rnd(FP_RND_RZ); |
#else |
#else |
#define FPNEAREST |
#define FPNEAREST |
#define FPPLUSINF |
#define FPPLUSINF |
#define FPMINUSINF |
#define FPMINUSINF |
#define FPTOZERO |
#define FPTOZERO |
#endif |
#endif |
#endif |
#endif |
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#if defined(__FreeBSD__) && defined(__GNUC__) |
#if defined(__FreeBSD__) && defined(__GNUC__) |
#include <floatingpoint.h> |
#include <floatingpoint.h> |
#define FPNEAREST fpsetround(FP_RN); |
#define FPNEAREST fpsetround(FP_RN); |
#define FPPLUSINF fpsetround(FP_RP); |
#define FPPLUSINF fpsetround(FP_RP); |
#define FPMINUSINF fpsetround(FP_RM); |
#define FPMINUSINF fpsetround(FP_RM); |
#define FPTOZERO fpsetround(FP_RZ); |
#define FPTOZERO fpsetround(FP_RZ); |
#endif |
#endif |
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#if defined(VISUAL) || defined(__MINGW32__) || defined(__MINGW64__) |
#if defined(VISUAL) || defined(__MINGW32__) |
#include <float.h> |
#include <float.h> |
#define FPNEAREST _controlfp(_RC_NEAR,_MCW_RC); |
#define FPNEAREST _controlfp(_RC_NEAR,_MCW_RC); |
#define FPPLUSINF _controlfp(_RC_UP,_MCW_RC); |
#define FPPLUSINF _controlfp(_RC_UP,_MCW_RC); |
#define FPMINUSINF _controlfp(_RC_DOWN,_MCW_RC); |
#define FPMINUSINF _controlfp(_RC_DOWN,_MCW_RC); |
#define FPTOZERO _controlfp(_RC_CHOP,_MCW_RC); |
#define FPTOZERO _controlfp(_RC_CHOP,_MCW_RC); |
#endif |
#endif |
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#endif |
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#include <fenv.h> |
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#define FPNEAREST fesetround(FE_TONEAREST); |
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#define FPPLUSINF fesetround(FE_UPWARD); |
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#define FPMINUSINF fesetround(FE_DOWNWARD); |
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#define FPTOZERO fesetround(FE_TOWARDZERO); |
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/* no control function of floating point rounding */ |
/* no control function of floating point rounding */ |
#ifndef FPNEAREST |
#ifndef FPNEAREST |
#define FPNEAREST fprintf(stderr, "Fpu control FPNEAREST is not supported in this machine yet.\n"); |
#define FPNEAREST fprintf(stderr, "Fpu control FPNEAREST is not supported in this machine yet.\n"); |
#endif |
#endif |
#ifndef FPMINUSINF |
#ifndef FPMINUSINF |
#define FPMINUSINF fprintf(stderr, "Fpu control FPMINUSINF is not supported in this machine yet.\n"); |
#define FPMINUSINF fprintf(stderr, "Fpu control FPMINUSINF is not supported in this machine yet.\n"); |
#endif |
#endif |
#ifndef FPPLUSINF |
#ifndef FPPLUSINF |
#define FPPLUSINF fprintf(stderr, "Fpu control FPPLUSINF is not supported in this machine yet.\n"); |
#define FPPLUSINF fprintf(stderr, "Fpu control FPPLUSINF is not supported in this machine yet.\n"); |
#endif |
#endif |
#ifndef FPTOZERO |
#ifndef FPTOZERO |
#define FPTOZERO fprintf(stderr, "Fpu control FPZERO is not supported in this machine yet.\n"); |
#define FPTOZERO fprintf(stderr, "Fpu control FPZERO is not supported in this machine yet.\n"); |
#endif |
#endif |
#define FPCLEAR FPNEAREST |
#define FPCLEAR FPNEAREST |
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#define MID_PRINTF_G 2 |
#define MID_PRINTF_G 2 |
#define MID_PRINTF_E 3 |
#define MID_PRINTF_E 3 |
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#define DEFAULTPREC 0 /* for mpfr */ |
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/* data structures */ |
/* data structures */ |
struct oItv { |
struct oItv { |
short id; |
short id; |
char nid; |
char nid; |
char pad; |
char pad; |
Num inf; |
Num inf; |
Num sup; |
Num sup; |
}; |
}; |
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typedef struct oItv *Itv; |
typedef struct oItv *Itv; |
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struct oIntervalDouble { |
struct oIntervalDouble { |
short id; |
short id; |
char nid; |
char nid; |
char pad; |
char pad; |
double inf; |
double inf; |
double sup; |
double sup; |
}; |
}; |
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typedef struct oIntervalDouble *IntervalDouble; |
typedef struct oIntervalDouble *IntervalDouble; |
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struct oforth { |
struct oforth { |
short sign; |
short sign; |
short exp; |
short exp; |
double u; |
double u; |
double l; |
double l; |
}; |
}; |
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typedef struct oforth *forth; |
typedef struct oforth *forth; |
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struct oIntervalQuad { |
struct oIntervalQuad { |
short id; |
short id; |
char nid; |
char nid; |
char pad; |
char pad; |
forth inf; |
forth inf; |
forth sup; |
forth sup; |
}; |
}; |
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typedef struct oIntervalQuad *IntervalQuad; |
typedef struct oIntervalQuad *IntervalQuad; |
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struct oIntervalBigFloat { |
struct oIntervalBigFloat { |
short id; |
short id; |
char nid; |
char nid; |
char pad; |
char pad; |
BF inf; |
BF inf; |
BF sup; |
BF sup; |
}; |
}; |
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typedef struct oIntervalBigFloat *IntervalBigFloat; |
typedef struct oIntervalBigFloat *IntervalBigFloat; |
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extern int zerorewrite; |
extern int zerorewrite; |
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extern int zerorewriteCount; |
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/* general macros */ |
/* general macros */ |
#define INF(p) ((p)->inf) |
#define INF(p) ((p)->inf) |
#define SUP(p) ((p)->sup) |
#define SUP(p) ((p)->sup) |
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#define NEWItvP(q) ((q)=(Itv)MALLOC(sizeof(struct oItv)),\ |
#define NEWItvP(q) ((q)=(Itv)MALLOC(sizeof(struct oItv)),\ |
OID(q)=O_N,NID(q)=N_IP) |
OID(q)=O_N,NID(q)=N_IP) |
#define NEWIntervalDouble(q) ((q)=(IntervalDouble)MALLOC(sizeof(struct oIntervalDouble)),\ |
#define NEWIntervalDouble(q) ((q)=(IntervalDouble)MALLOC(sizeof(struct oIntervalDouble)),\ |
OID(q)=O_N,NID(q)=N_IntervalDouble) |
OID(q)=O_N,NID(q)=N_IntervalDouble) |
#define NEWIntervalQuad(q) ((q)=(IntervalDouble)MALLOC(sizeof(struct oIntervalQuad)),\ |
#define NEWIntervalQuad(q) ((q)=(IntervalDouble)MALLOC(sizeof(struct oIntervalQuad)),\ |
OID(q)=O_N,NID(q)=N_IntervalQuad) |
OID(q)=O_N,NID(q)=N_IntervalQuad) |
#define NEWIntervalBigFloat(q) ((q)=(IntervalBigFloat)MALLOC(sizeof(struct oIntervalBigFloat)),\ |
#define NEWIntervalBigFloat(q) ((q)=(IntervalBigFloat)MALLOC(sizeof(struct oIntervalBigFloat)),\ |
OID(q)=O_N,NID(q)=N_IntervalBigFloat) |
OID(q)=O_N,NID(q)=N_IntervalBigFloat) |
#define MKItvP(a,b,c) (NEWItvP(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKItvP(a,b,c) (NEWItvP(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKIntervalDouble(a,b,c) if((zerorewrite) && ((a)<=0.0) && ((b)>=0.0)) (c)=0;\ |
#define MKIntervalDouble(a,b,c) if((zerorewrite) && ((a)<=0.0) && ((b)>=0.0)) {(c)=0;zerorewriteCount++;}\ |
else (NEWIntervalDouble(c),(INF(c)=(a),SUP(c)=(b))) |
else (NEWIntervalDouble(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKIntervalQuad(a,b,c) (NEWIntervalQuad(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKIntervalQuad(a,b,c) (NEWIntervalQuad(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKIntervalBigFloat(a,b,c) (NEWIntervalBigFloat(c),(INF(c)=(a),SUP(c)=(b))) |
#define MKIntervalBigFloat(a,b,c) (NEWIntervalBigFloat(c),(INF(c)=(a),SUP(c)=(b))) |
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#define ToItvP(a,c) (NEWItvP(c),INF(c)=(a),SUP(c)=(a)) |
#define ToItvP(a,c) (NEWItvP(c),INF(c)=(a),SUP(c)=(a)) |
#define ToIntervalDouble(a,c) (NEWIntervalDouble(c),INF(c)=(ToReal(a)),SUP(c)=(ToReal(a))) |
#define ToIntervalDouble(a,c) (NEWIntervalDouble(c),INF(c)=(ToReal(a)),SUP(c)=(ToReal(a))) |
#define ToIntervalBigFloat(a,c) (NEWIntervalBigFloat(c),INF(c)=(a),SUP(c)=(a)) |
#define ToIntervalBigFloat(a,c) (NEWIntervalBigFloat(c),INF(c)=(a),SUP(c)=(a)) |
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#define ITVP(a) (NID(a)==N_IP) |
#define ITVP(a) (NID(a)==N_IP) |
#define ITVD(a) (NID(a)==N_IntervalDouble) |
#define ITVD(a) (NID(a)==N_IntervalDouble) |
#define ITVQ(a) (NID(a)==N_IntervalQuad) |
#define ITVQ(a) (NID(a)==N_IntervalQuad) |
#define ITVF(a) (NID(a)==N_IntervalBigFloat) |
#define ITVF(a) (NID(a)==N_IntervalBigFloat) |
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/*** engine/itv.c ***/ |
#if 0 |
double ToRealSup(Num); |
double ToRealSup(Num); |
double ToRealInf(Num); |
double ToRealInf(Num); |
double RatnToRealUp(Q); |
double RatnToRealUp(Q); |
double NatToRealUp(N, int *); |
double NatToRealUp(N, int *); |
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void double2bf(double, BF *); |
void double2bf(double, BF *); |
double bf2double(BF); |
double bf2double(BF); |
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void itvtois(Itv, Num *, Num *); |
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void istoitv(Num, Num, Itv *); |
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#if 0 |
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void additv(Num, Num, Num *); |
void additv(Num, Num, Num *); |
void subitv(Num, Num, Num *); |
void subitv(Num, Num, Num *); |
void mulitv(Num, Num, Num *); |
void mulitv(Num, Num, Num *); |
Line 212 void widthitv(Itv, Num *); |
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Line 239 void widthitv(Itv, Num *); |
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void distanceitv(Itv, Itv, Num *); |
void distanceitv(Itv, Itv, Num *); |
#endif |
#endif |
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/*** engine/p-itv.c ***/ |
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void itvtois(Itv, Num *, Num *); |
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void istoitv(Num, Num, Itv *); |
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void additvp(Itv, Itv, Itv *); |
void additvp(Itv, Itv, Itv *); |
void subitvp(Itv, Itv, Itv *); |
void subitvp(Itv, Itv, Itv *); |
void mulitvp(Itv, Itv, Itv *); |
void mulitvp(Itv, Itv, Itv *); |
void divitvp(Itv, Itv, Itv *); |
void divitvp(Itv, Itv, Itv *); |
void chsgnitvp(Itv, Itv *); |
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int cmpitvp(Itv, Itv); |
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void pwritvp(Itv, Num, Itv *); |
void pwritvp(Itv, Num, Itv *); |
void pwritv0p(Itv, int, Itv *); |
void pwritv0p(Itv, int, Itv *); |
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void chsgnitvp(Itv, Itv *); |
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int initvp(Num , Itv ); |
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int itvinitvp(Itv, Itv); |
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int cmpitvp(Itv, Itv); |
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void miditvp(Itv, Num *); |
void cupitvp(Itv, Itv, Itv *); |
void cupitvp(Itv, Itv, Itv *); |
void capitvp(Itv, Itv, Itv *); |
void capitvp(Itv, Itv, Itv *); |
void widthitvp(Itv, Num *); |
void widthitvp(Itv, Num *); |
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void absitvp(Itv, Num *); |
void distanceitvp(Itv, Itv, Num *); |
void distanceitvp(Itv, Itv, Num *); |
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void ToBf(Num, BF *); |
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void double2bf(double, BF *); |
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double bf2double(BF); |
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void addulp(IntervalBigFloat, IntervalBigFloat *); |
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void getulp(BF, BF *); |
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/*** engine/f-itv.c ***/ |
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//void ToBf(Num, BF *); |
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//void double2bf(double, BF *); |
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//double bf2double(BF); |
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//void addulp(IntervalBigFloat, IntervalBigFloat *); |
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//void getulp(BF, BF *); |
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void additvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void additvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void subitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void subitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void mulitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void mulitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void divitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void divitvf(IntervalBigFloat, IntervalBigFloat, IntervalBigFloat *); |
void chsgnitvf(Itv, Itv *); |
void chsgnitvf(IntervalBigFloat, IntervalBigFloat *); |
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int initvf(Num, Itv); |
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int itvinitvf(Itv, Itv); |
int cmpitvf(Itv, Itv); |
int cmpitvf(Itv, Itv); |
void pwritvf(Itv, Num, Itv *); |
void pwritvf(Itv, Num, Itv *); |
void pwritv0f(Itv, int, Itv *); |
void pwritv0f(Itv, int, Itv *); |
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void miditvf(Itv, Num *); |
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void cupitvf(Itv, Itv, Itv *); |
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void capitvf(Itv, Itv, Itv *); |
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void widthitvf(Itv, Num *); |
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void absitvf(Itv, Num *); |
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void distanceitvf(Itv, Itv, Num *); |
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/*** engine/d-itv.c ***/ |
/*** engine/d-itv.c ***/ |
double ToRealDown(Num); |
double ToRealDown(Num); |
double ToRealUp(Num); |
double ToRealUp(Num); |
void Num2double(Num, double *, double *); |
void Num2double(Num, double *, double *); |
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void additvd(Num, Num, IntervalDouble *); |
void additvd(Num, Num, IntervalDouble *); |
void subitvd(Num, Num, IntervalDouble *); |
void subitvd(Num, Num, IntervalDouble *); |
void mulitvd(Num, Num, IntervalDouble *); |
void mulitvd(Num, Num, IntervalDouble *); |
void divitvd(Num, Num, IntervalDouble *); |
void divitvd(Num, Num, IntervalDouble *); |
void chsgnitvd(IntervalDouble, IntervalDouble *); |
void chsgnitvd(IntervalDouble, IntervalDouble *); |
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int initvd(Num, IntervalDouble); |
int cmpitvd(IntervalDouble, IntervalDouble); |
int cmpitvd(IntervalDouble, IntervalDouble); |
void pwritvd(Num, Num, IntervalDouble *); |
void pwritvd(Num, Num, IntervalDouble *); |
void pwritv0d(IntervalDouble, int, IntervalDouble *); |
void pwritv0d(IntervalDouble, int, IntervalDouble *); |