| version 1.12, 2015/08/06 10:01:52 |
version 1.16, 2019/06/04 07:11:22 |
|
|
| /* |
/* |
| * $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 |
| |
|
| #define PRINTF_G 0 |
#define INT_ASIR_VERSION 20181218 |
| #define PRINTF_E 1 |
|
| |
|
| |
#define PRINTF_G 0 |
| |
#define PRINTF_E 1 |
| |
|
| #if defined(INTERVAL) |
#if defined(INTERVAL) |
| |
|
| #include <math.h> |
#include <math.h> |
| |
|
| #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 |
| |
|
| #ifdef linux |
#if 0 |
| #include <fpu_control.h> |
#ifdef linux |
| |
#include <fpu_control.h> |
| #if 1 |
#if 1 |
| #define LINUX_FPU_RC_MASK 0xf3ff |
|
| #define LINUX_FPU_SETCW(c) \ |
#if defined(__ARM_ARCH) || defined(ANDROID) |
| |
#ifndef _FPU_RC_NEAREST |
| |
#define _FPU_RC_NEAREST 0x0 |
| |
#endif |
| |
#ifndef _FPU_RC_DOWN |
| |
#define _FPU_RC_DOWN 0x400 |
| |
#endif |
| |
#ifndef _FPU_RC_UP |
| |
#define _FPU_RC_UP 0x800 |
| |
#endif |
| |
#ifndef _FPU_RC_ZERO |
| |
#define _FPU_RC_ZERO 0xC00 |
| |
#endif |
| |
#endif /* __ARM_ARCH */ |
| |
|
| |
#define LINUX_FPU_RC_MASK 0xf3ff |
| |
#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 |
| |
|
| #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 |
| |
|
| #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 |
| |
|
| #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 |
| |
#endif |
| |
#include <fenv.h> |
| |
|
| |
#define FPNEAREST fesetround(FE_TONEAREST); |
| |
#define FPPLUSINF fesetround(FE_UPWARD); |
| |
#define FPMINUSINF fesetround(FE_DOWNWARD); |
| |
#define FPTOZERO fesetround(FE_TOWARDZERO); |
| |
|
| |
|
| /* 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 |
| |
|
| #define MID_PRINTF_G 2 |
#define MID_PRINTF_G 2 |
| #define MID_PRINTF_E 3 |
#define MID_PRINTF_E 3 |
| |
|
| |
#define DEFAULTPREC 0 /* for mpfr */ |
| |
|
| /* 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; |
| }; |
}; |
| |
|
| typedef struct oItv *Itv; |
typedef struct oItv *Itv; |
| |
|
| struct oIntervalDouble { |
struct oIntervalDouble { |
| short id; |
short id; |
| char nid; |
char nid; |
| char pad; |
char pad; |
| double inf; |
double inf; |
| double sup; |
double sup; |
| }; |
}; |
| |
|
| typedef struct oIntervalDouble *IntervalDouble; |
typedef struct oIntervalDouble *IntervalDouble; |
| |
|
| struct oforth { |
struct oforth { |
| short sign; |
short sign; |
| short exp; |
short exp; |
| double u; |
double u; |
| double l; |
double l; |
| }; |
}; |
| |
|
| typedef struct oforth *forth; |
typedef struct oforth *forth; |
| |
|
| struct oIntervalQuad { |
struct oIntervalQuad { |
| short id; |
short id; |
| char nid; |
char nid; |
| char pad; |
char pad; |
| forth inf; |
forth inf; |
| forth sup; |
forth sup; |
| }; |
}; |
| |
|
| typedef struct oIntervalQuad *IntervalQuad; |
typedef struct oIntervalQuad *IntervalQuad; |
| |
|
| struct oIntervalBigFloat { |
struct oIntervalBigFloat { |
| short id; |
short id; |
| char nid; |
char nid; |
| char pad; |
char pad; |
| BF inf; |
BF inf; |
| BF sup; |
BF sup; |
| }; |
}; |
| |
|
| typedef struct oIntervalBigFloat *IntervalBigFloat; |
typedef struct oIntervalBigFloat *IntervalBigFloat; |
| |
|
| extern int zerorewrite; |
extern int zerorewrite; |
| |
extern int zerorewriteCount; |
| |
|
| /* general macros */ |
/* general macros */ |
| #define INF(p) ((p)->inf) |
#define INF(p) ((p)->inf) |
| #define SUP(p) ((p)->sup) |
#define SUP(p) ((p)->sup) |
| |
|
| #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))) |
| |
|
| #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)) |
| |
|
| #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) |
| |
|
| /*** 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 *); |
| |
|
| void double2bf(double, BF *); |
void double2bf(double, BF *); |
| double bf2double(BF); |
double bf2double(BF); |
| |
|
| void itvtois(Itv, Num *, Num *); |
|
| void istoitv(Num, Num, Itv *); |
|
| |
|
| #if 0 |
|
| 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 *); |
|
| Line 239 void widthitv(Itv, Num *); |
|
| void distanceitv(Itv, Itv, Num *); |
void distanceitv(Itv, Itv, Num *); |
| #endif |
#endif |
| |
|
| |
/*** engine/p-itv.c ***/ |
| |
void itvtois(Itv, Num *, Num *); |
| |
void istoitv(Num, Num, Itv *); |
| |
|
| 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 *); |
|
| int cmpitvp(Itv, Itv); |
|
| void pwritvp(Itv, Num, Itv *); |
void pwritvp(Itv, Num, Itv *); |
| void pwritv0p(Itv, int, Itv *); |
void pwritv0p(Itv, int, Itv *); |
| |
void chsgnitvp(Itv, Itv *); |
| |
int initvp(Num , Itv ); |
| |
int itvinitvp(Itv, Itv); |
| |
int cmpitvp(Itv, Itv); |
| |
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 *); |
| |
void absitvp(Itv, Num *); |
| void distanceitvp(Itv, Itv, Num *); |
void distanceitvp(Itv, Itv, Num *); |
| |
|
| void ToBf(Num, BF *); |
|
| void double2bf(double, BF *); |
|
| double bf2double(BF); |
|
| void addulp(IntervalBigFloat, IntervalBigFloat *); |
|
| void getulp(BF, BF *); |
|
| |
|
| |
/*** engine/f-itv.c ***/ |
| |
|
| |
//void ToBf(Num, BF *); |
| |
//void double2bf(double, BF *); |
| |
//double bf2double(BF); |
| |
//void addulp(IntervalBigFloat, IntervalBigFloat *); |
| |
//void getulp(BF, BF *); |
| |
|
| 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 *); |
| |
int initvf(Num, Itv); |
| |
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 *); |
| |
void miditvf(Itv, Num *); |
| |
void cupitvf(Itv, Itv, Itv *); |
| |
void capitvf(Itv, Itv, Itv *); |
| |
void widthitvf(Itv, Num *); |
| |
void absitvf(Itv, Num *); |
| |
void distanceitvf(Itv, Itv, Num *); |
| |
|
| /*** 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 *); |
| |
|
| 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 *); |
| |
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 *); |