This source file includes following definitions.
- TRIO_ARGS1
- TRIO_ARGS2
- TRIO_ARGS1
- trio_nzero
- trio_pinf
- trio_ninf
- trio_nan
- TRIO_ARGS1
- TRIO_ARGS1
- TRIO_ARGS1
- TRIO_ARGS2
- TRIO_ARGS1
- TRIO_ARGS1
- TRIO_ARGS1
- TRIO_ARGS2
- main
#include "triodef.h"
#include "trionan.h"
#include <math.h>
#include <string.h>
#include <limits.h>
#include <float.h>
#if defined(TRIO_PLATFORM_UNIX)
# include <signal.h>
#endif
#if defined(TRIO_COMPILER_DECC)
# if defined(__linux__)
# include <cpml.h>
# else
# include <fp_class.h>
# endif
#endif
#include <assert.h>
#if defined(TRIO_DOCUMENTATION)
# include "doc/doc_nan.h"
#endif
#define TRIO_TRUE (1 == 1)
#define TRIO_FALSE (0 == 1)
#if defined(__alpha) && !defined(_IEEE_FP)
# if defined(TRIO_COMPILER_DECC)
# if defined(TRIO_PLATFORM_VMS)
# error "Must be compiled with option /IEEE_MODE=UNDERFLOW_TO_ZERO/FLOAT=IEEE"
# else
# if !defined(_CFE)
# error "Must be compiled with option -ieee"
# endif
# endif
# elif defined(TRIO_COMPILER_GCC) && (defined(__osf__) || defined(__linux__))
# error "Must be compiled with option -mieee"
# endif
#endif
#if (FLT_RADIX == 2) && (DBL_MAX_EXP == 1024) && (DBL_MANT_DIG == 53)
# define USE_IEEE_754
#endif
static TRIO_CONST char rcsid[] = "@(#)$Id$";
#if defined(USE_IEEE_754)
#define TRIO_DOUBLE_INDEX(x) (((unsigned char *)&internalEndianMagic)[7-(x)])
#if (defined(__BORLANDC__) && __BORLANDC__ >= 0x0590)
static TRIO_CONST double internalEndianMagic = 7.949928895127362e-275;
#else
static TRIO_CONST double internalEndianMagic = 7.949928895127363e-275;
#endif
static TRIO_CONST unsigned char ieee_754_exponent_mask[] = {
0x7F, 0xF0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
static TRIO_CONST unsigned char ieee_754_mantissa_mask[] = {
0x00, 0x0F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF
};
static TRIO_CONST unsigned char ieee_754_sign_mask[] = {
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
static TRIO_CONST unsigned char ieee_754_negzero_array[] = {
0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
static TRIO_CONST unsigned char ieee_754_infinity_array[] = {
0x7F, 0xF0, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
static TRIO_CONST unsigned char ieee_754_qnan_array[] = {
0x7F, 0xF8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
};
TRIO_PRIVATE double
trio_make_double
TRIO_ARGS1((values),
TRIO_CONST unsigned char *values)
{
TRIO_VOLATILE double result;
int i;
for (i = 0; i < (int)sizeof(double); i++) {
((TRIO_VOLATILE unsigned char *)&result)[TRIO_DOUBLE_INDEX(i)] = values[i];
}
return result;
}
TRIO_PRIVATE int
trio_is_special_quantity
TRIO_ARGS2((number, has_mantissa),
double number,
int *has_mantissa)
{
unsigned int i;
unsigned char current;
int is_special_quantity = TRIO_TRUE;
*has_mantissa = 0;
for (i = 0; i < (unsigned int)sizeof(double); i++) {
current = ((unsigned char *)&number)[TRIO_DOUBLE_INDEX(i)];
is_special_quantity
&= ((current & ieee_754_exponent_mask[i]) == ieee_754_exponent_mask[i]);
*has_mantissa |= (current & ieee_754_mantissa_mask[i]);
}
return is_special_quantity;
}
TRIO_PRIVATE int
trio_is_negative
TRIO_ARGS1((number),
double number)
{
unsigned int i;
int is_negative = TRIO_FALSE;
for (i = 0; i < (unsigned int)sizeof(double); i++) {
is_negative |= (((unsigned char *)&number)[TRIO_DOUBLE_INDEX(i)]
& ieee_754_sign_mask[i]);
}
return is_negative;
}
#endif
TRIO_PUBLIC double
trio_nzero(TRIO_NOARGS)
{
#if defined(USE_IEEE_754)
return trio_make_double(ieee_754_negzero_array);
#else
TRIO_VOLATILE double zero = 0.0;
return -zero;
#endif
}
TRIO_PUBLIC double
trio_pinf(TRIO_NOARGS)
{
static double result = 0.0;
if (result == 0.0) {
#if defined(INFINITY) && defined(__STDC_IEC_559__)
result = (double)INFINITY;
#elif defined(USE_IEEE_754)
result = trio_make_double(ieee_754_infinity_array);
#else
# if defined(TRIO_PLATFORM_UNIX)
void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);
# endif
result = HUGE_VAL;
if (HUGE_VAL == DBL_MAX) {
result += HUGE_VAL;
}
# if defined(TRIO_PLATFORM_UNIX)
signal(SIGFPE, signal_handler);
# endif
#endif
}
return result;
}
TRIO_PUBLIC double
trio_ninf(TRIO_NOARGS)
{
static double result = 0.0;
if (result == 0.0) {
result = -trio_pinf();
}
return result;
}
TRIO_PUBLIC double
trio_nan(TRIO_NOARGS)
{
static double result = 0.0;
if (result == 0.0) {
#if defined(TRIO_COMPILER_SUPPORTS_C99)
result = nan("");
#elif defined(NAN) && defined(__STDC_IEC_559__)
result = (double)NAN;
#elif defined(USE_IEEE_754)
result = trio_make_double(ieee_754_qnan_array);
#else
# if defined(TRIO_PLATFORM_UNIX)
void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);
# endif
result = trio_pinf() / trio_pinf();
# if defined(TRIO_PLATFORM_UNIX)
signal(SIGFPE, signal_handler);
# endif
#endif
}
return result;
}
TRIO_PUBLIC int
trio_isnan
TRIO_ARGS1((number),
double number)
{
#if (defined(TRIO_COMPILER_SUPPORTS_C99) && defined(isnan)) \
|| defined(TRIO_COMPILER_SUPPORTS_UNIX95)
return isnan(number);
#elif defined(TRIO_COMPILER_MSVC) || defined(TRIO_COMPILER_BCB)
return _isnan(number) ? TRIO_TRUE : TRIO_FALSE;
#elif defined(USE_IEEE_754)
int has_mantissa;
int is_special_quantity;
is_special_quantity = trio_is_special_quantity(number, &has_mantissa);
return (is_special_quantity && has_mantissa);
#else
int status;
double integral, fraction;
# if defined(TRIO_PLATFORM_UNIX)
void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);
# endif
status = (
((TRIO_VOLATILE double)number != (TRIO_VOLATILE double)number) ||
((number != 0.0) &&
(fraction = modf(number, &integral),
integral == fraction)));
# if defined(TRIO_PLATFORM_UNIX)
signal(SIGFPE, signal_handler);
# endif
return status;
#endif
}
TRIO_PUBLIC int
trio_isinf
TRIO_ARGS1((number),
double number)
{
#if defined(TRIO_COMPILER_DECC) && !defined(__linux__)
return ((fp_class(number) == FP_POS_INF)
? 1
: ((fp_class(number) == FP_NEG_INF) ? -1 : 0));
#elif defined(isinf)
return isinf(number)
? ((number > 0.0) ? 1 : -1)
: 0;
#elif defined(TRIO_COMPILER_MSVC) || defined(TRIO_COMPILER_BCB)
return ((_fpclass(number) == _FPCLASS_PINF)
? 1
: ((_fpclass(number) == _FPCLASS_NINF) ? -1 : 0));
#elif defined(USE_IEEE_754)
int has_mantissa;
int is_special_quantity;
is_special_quantity = trio_is_special_quantity(number, &has_mantissa);
return (is_special_quantity && !has_mantissa)
? ((number < 0.0) ? -1 : 1)
: 0;
#else
int status;
# if defined(TRIO_PLATFORM_UNIX)
void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);
# endif
double infinity = trio_pinf();
status = ((number == infinity)
? 1
: ((number == -infinity) ? -1 : 0));
# if defined(TRIO_PLATFORM_UNIX)
signal(SIGFPE, signal_handler);
# endif
return status;
#endif
}
#if 0
TRIO_PUBLIC int
trio_isfinite
TRIO_ARGS1((number),
double number)
{
#if defined(TRIO_COMPILER_SUPPORTS_C99) && defined(isfinite)
return isfinite(number);
#elif defined(TRIO_COMPILER_MSVC) || defined(TRIO_COMPILER_BCB)
return _finite(number);
#elif defined(USE_IEEE_754)
int dummy;
return (! trio_is_special_quantity(number, &dummy));
#else
return ((trio_isinf(number) == 0) && (trio_isnan(number) == 0));
#endif
}
#endif
TRIO_PUBLIC int
trio_fpclassify_and_signbit
TRIO_ARGS2((number, is_negative),
double number,
int *is_negative)
{
#if defined(fpclassify) && defined(signbit)
*is_negative = signbit(number);
switch (fpclassify(number)) {
case FP_NAN:
return TRIO_FP_NAN;
case FP_INFINITE:
return TRIO_FP_INFINITE;
case FP_SUBNORMAL:
return TRIO_FP_SUBNORMAL;
case FP_ZERO:
return TRIO_FP_ZERO;
default:
return TRIO_FP_NORMAL;
}
#else
# if defined(TRIO_COMPILER_DECC)
# define TRIO_FPCLASSIFY(n) fp_class(n)
# define TRIO_QUIET_NAN FP_QNAN
# define TRIO_SIGNALLING_NAN FP_SNAN
# define TRIO_POSITIVE_INFINITY FP_POS_INF
# define TRIO_NEGATIVE_INFINITY FP_NEG_INF
# define TRIO_POSITIVE_SUBNORMAL FP_POS_DENORM
# define TRIO_NEGATIVE_SUBNORMAL FP_NEG_DENORM
# define TRIO_POSITIVE_ZERO FP_POS_ZERO
# define TRIO_NEGATIVE_ZERO FP_NEG_ZERO
# define TRIO_POSITIVE_NORMAL FP_POS_NORM
# define TRIO_NEGATIVE_NORMAL FP_NEG_NORM
# elif defined(TRIO_COMPILER_MSVC) || defined(TRIO_COMPILER_BCB)
# define TRIO_FPCLASSIFY(n) _fpclass(n)
# define TRIO_QUIET_NAN _FPCLASS_QNAN
# define TRIO_SIGNALLING_NAN _FPCLASS_SNAN
# define TRIO_POSITIVE_INFINITY _FPCLASS_PINF
# define TRIO_NEGATIVE_INFINITY _FPCLASS_NINF
# define TRIO_POSITIVE_SUBNORMAL _FPCLASS_PD
# define TRIO_NEGATIVE_SUBNORMAL _FPCLASS_ND
# define TRIO_POSITIVE_ZERO _FPCLASS_PZ
# define TRIO_NEGATIVE_ZERO _FPCLASS_NZ
# define TRIO_POSITIVE_NORMAL _FPCLASS_PN
# define TRIO_NEGATIVE_NORMAL _FPCLASS_NN
# elif defined(FP_PLUS_NORM)
# if defined(TRIO_PLATFORM_AIX)
# if defined(__cplusplus)
# define TRIO_FPCLASSIFY(n) _class(n)
# else
# define TRIO_FPCLASSIFY(n) class(n)
# endif
# else
# define TRIO_FPCLASSIFY(n) fpclassify(n)
# endif
# define TRIO_QUIET_NAN FP_QNAN
# define TRIO_SIGNALLING_NAN FP_SNAN
# define TRIO_POSITIVE_INFINITY FP_PLUS_INF
# define TRIO_NEGATIVE_INFINITY FP_MINUS_INF
# define TRIO_POSITIVE_SUBNORMAL FP_PLUS_DENORM
# define TRIO_NEGATIVE_SUBNORMAL FP_MINUS_DENORM
# define TRIO_POSITIVE_ZERO FP_PLUS_ZERO
# define TRIO_NEGATIVE_ZERO FP_MINUS_ZERO
# define TRIO_POSITIVE_NORMAL FP_PLUS_NORM
# define TRIO_NEGATIVE_NORMAL FP_MINUS_NORM
# endif
# if defined(TRIO_FPCLASSIFY)
switch (TRIO_FPCLASSIFY(number)) {
case TRIO_QUIET_NAN:
case TRIO_SIGNALLING_NAN:
*is_negative = TRIO_FALSE;
return TRIO_FP_NAN;
case TRIO_POSITIVE_INFINITY:
*is_negative = TRIO_FALSE;
return TRIO_FP_INFINITE;
case TRIO_NEGATIVE_INFINITY:
*is_negative = TRIO_TRUE;
return TRIO_FP_INFINITE;
case TRIO_POSITIVE_SUBNORMAL:
*is_negative = TRIO_FALSE;
return TRIO_FP_SUBNORMAL;
case TRIO_NEGATIVE_SUBNORMAL:
*is_negative = TRIO_TRUE;
return TRIO_FP_SUBNORMAL;
case TRIO_POSITIVE_ZERO:
*is_negative = TRIO_FALSE;
return TRIO_FP_ZERO;
case TRIO_NEGATIVE_ZERO:
*is_negative = TRIO_TRUE;
return TRIO_FP_ZERO;
case TRIO_POSITIVE_NORMAL:
*is_negative = TRIO_FALSE;
return TRIO_FP_NORMAL;
case TRIO_NEGATIVE_NORMAL:
*is_negative = TRIO_TRUE;
return TRIO_FP_NORMAL;
default:
*is_negative = (number < 0.0);
return TRIO_FP_NORMAL;
}
# else
int rc;
if (number == 0.0) {
# if defined(USE_IEEE_754)
*is_negative = trio_is_negative(number);
# else
*is_negative = TRIO_FALSE;
# endif
return TRIO_FP_ZERO;
}
if (trio_isnan(number)) {
*is_negative = TRIO_FALSE;
return TRIO_FP_NAN;
}
if ((rc = trio_isinf(number))) {
*is_negative = (rc == -1);
return TRIO_FP_INFINITE;
}
if ((number > 0.0) && (number < DBL_MIN)) {
*is_negative = TRIO_FALSE;
return TRIO_FP_SUBNORMAL;
}
if ((number < 0.0) && (number > -DBL_MIN)) {
*is_negative = TRIO_TRUE;
return TRIO_FP_SUBNORMAL;
}
*is_negative = (number < 0.0);
return TRIO_FP_NORMAL;
# endif
#endif
}
TRIO_PUBLIC int
trio_signbit
TRIO_ARGS1((number),
double number)
{
int is_negative;
(void)trio_fpclassify_and_signbit(number, &is_negative);
return is_negative;
}
#if 0
TRIO_PUBLIC int
trio_fpclassify
TRIO_ARGS1((number),
double number)
{
int dummy;
return trio_fpclassify_and_signbit(number, &dummy);
}
#endif
#if defined(STANDALONE)
# include <stdio.h>
static TRIO_CONST char *
getClassification
TRIO_ARGS1((type),
int type)
{
switch (type) {
case TRIO_FP_INFINITE:
return "FP_INFINITE";
case TRIO_FP_NAN:
return "FP_NAN";
case TRIO_FP_NORMAL:
return "FP_NORMAL";
case TRIO_FP_SUBNORMAL:
return "FP_SUBNORMAL";
case TRIO_FP_ZERO:
return "FP_ZERO";
default:
return "FP_UNKNOWN";
}
}
static void
print_class
TRIO_ARGS2((prefix, number),
TRIO_CONST char *prefix,
double number)
{
printf("%-6s: %s %-15s %g\n",
prefix,
trio_signbit(number) ? "-" : "+",
getClassification(TRIO_FPCLASSIFY(number)),
number);
}
int main(TRIO_NOARGS)
{
double my_nan;
double my_pinf;
double my_ninf;
# if defined(TRIO_PLATFORM_UNIX)
void (*signal_handler) TRIO_PROTO((int));
# endif
my_nan = trio_nan();
my_pinf = trio_pinf();
my_ninf = trio_ninf();
print_class("Nan", my_nan);
print_class("PInf", my_pinf);
print_class("NInf", my_ninf);
print_class("PZero", 0.0);
print_class("NZero", -0.0);
print_class("PNorm", 1.0);
print_class("NNorm", -1.0);
print_class("PSub", 1.01e-307 - 1.00e-307);
print_class("NSub", 1.00e-307 - 1.01e-307);
printf("NaN : %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_nan,
((unsigned char *)&my_nan)[0],
((unsigned char *)&my_nan)[1],
((unsigned char *)&my_nan)[2],
((unsigned char *)&my_nan)[3],
((unsigned char *)&my_nan)[4],
((unsigned char *)&my_nan)[5],
((unsigned char *)&my_nan)[6],
((unsigned char *)&my_nan)[7],
trio_isnan(my_nan), trio_isinf(my_nan));
printf("PInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_pinf,
((unsigned char *)&my_pinf)[0],
((unsigned char *)&my_pinf)[1],
((unsigned char *)&my_pinf)[2],
((unsigned char *)&my_pinf)[3],
((unsigned char *)&my_pinf)[4],
((unsigned char *)&my_pinf)[5],
((unsigned char *)&my_pinf)[6],
((unsigned char *)&my_pinf)[7],
trio_isnan(my_pinf), trio_isinf(my_pinf));
printf("NInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_ninf,
((unsigned char *)&my_ninf)[0],
((unsigned char *)&my_ninf)[1],
((unsigned char *)&my_ninf)[2],
((unsigned char *)&my_ninf)[3],
((unsigned char *)&my_ninf)[4],
((unsigned char *)&my_ninf)[5],
((unsigned char *)&my_ninf)[6],
((unsigned char *)&my_ninf)[7],
trio_isnan(my_ninf), trio_isinf(my_ninf));
# if defined(TRIO_PLATFORM_UNIX)
signal_handler = signal(SIGFPE, SIG_IGN);
# endif
my_pinf = DBL_MAX + DBL_MAX;
my_ninf = -my_pinf;
my_nan = my_pinf / my_pinf;
# if defined(TRIO_PLATFORM_UNIX)
signal(SIGFPE, signal_handler);
# endif
printf("NaN : %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_nan,
((unsigned char *)&my_nan)[0],
((unsigned char *)&my_nan)[1],
((unsigned char *)&my_nan)[2],
((unsigned char *)&my_nan)[3],
((unsigned char *)&my_nan)[4],
((unsigned char *)&my_nan)[5],
((unsigned char *)&my_nan)[6],
((unsigned char *)&my_nan)[7],
trio_isnan(my_nan), trio_isinf(my_nan));
printf("PInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_pinf,
((unsigned char *)&my_pinf)[0],
((unsigned char *)&my_pinf)[1],
((unsigned char *)&my_pinf)[2],
((unsigned char *)&my_pinf)[3],
((unsigned char *)&my_pinf)[4],
((unsigned char *)&my_pinf)[5],
((unsigned char *)&my_pinf)[6],
((unsigned char *)&my_pinf)[7],
trio_isnan(my_pinf), trio_isinf(my_pinf));
printf("NInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %2d)\n",
my_ninf,
((unsigned char *)&my_ninf)[0],
((unsigned char *)&my_ninf)[1],
((unsigned char *)&my_ninf)[2],
((unsigned char *)&my_ninf)[3],
((unsigned char *)&my_ninf)[4],
((unsigned char *)&my_ninf)[5],
((unsigned char *)&my_ninf)[6],
((unsigned char *)&my_ninf)[7],
trio_isnan(my_ninf), trio_isinf(my_ninf));
return 0;
}
#endif