📄 trionan.c
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/* * Examine IEEE 754 bit-pattern. A NaN must have a special exponent * pattern, and a non-empty mantissa. */ int has_mantissa; int is_special_quantity; is_special_quantity = internal_is_special_quantity(number, &has_mantissa); return (is_special_quantity && has_mantissa); # endif# if defined(TRIO_INTERNAL_ISNAN_FALLBACK) /* * Fallback solution */ int status; double integral, fraction; # if defined(TRIO_PLATFORM_UNIX) void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);# endif status = (/* * NaN is the only number which does not compare to itself */ ((TRIO_VOLATILE double)number != (TRIO_VOLATILE double)number) || /* * Fallback solution if NaN compares to NaN */ ((number != 0.0) && (fraction = modf(number, &integral), integral == fraction))); # if defined(TRIO_PLATFORM_UNIX) signal(SIGFPE, signal_handler);# endif return status; # endif}#endif /* TRIO_FUNC_INTERNAL_ISNAN */#if defined(TRIO_FUNC_INTERNAL_ISINF)TRIO_PRIVATE_NAN TRIO_INLINE intinternal_isinfTRIO_ARGS1((number), double number){# if defined(TRIO_PLATFORM_SYMBIAN) return isinf(number);# endif# if defined(TRIO_INTERNAL_ISINF_IEEE_754) /* * Examine IEEE 754 bit-pattern. Infinity must have a special exponent * pattern, and an empty mantissa. */ int has_mantissa; int is_special_quantity; is_special_quantity = internal_is_special_quantity(number, &has_mantissa); return (is_special_quantity && !has_mantissa) ? ((number < 0.0) ? -1 : 1) : 0;# endif# if defined(TRIO_INTERNAL_ISINF_FALLBACK) /* * Fallback solution. */ 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}#endif /* TRIO_FUNC_INTERNAL_ISINF *//************************************************************************* * Public functions */#if defined(TRIO_FUNC_FPCLASSIFY_AND_SIGNBIT)TRIO_PUBLIC_NAN inttrio_fpclassify_and_signbitTRIO_ARGS2((number, is_negative), double number, int *is_negative){ /* The TRIO_FUNC_xxx_FPCLASSIFY_AND_SIGNBIT macros are mutually exclusive */ #if defined(TRIO_FUNC_C99_FPCLASSIFY_AND_SIGNBIT) return c99_fpclassify_and_signbit(number, is_negative);#endif#if defined(TRIO_FUNC_DECC_FPCLASSIFY_AND_SIGNBIT) return decc_fpclassify_and_signbit(number, is_negative);#endif#if defined(TRIO_FUNC_MS_FPCLASSIFY_AND_SIGNBIT) return ms_fpclassify_and_signbit(number, is_negative);#endif#if defined(TRIO_FUNC_HP_FPCLASSIFY_AND_SIGNBIT) return hp_fpclassify_and_signbit(number, is_negative);#endif#if defined(TRIO_FUNC_XLC_FPCLASSIFY_AND_SIGNBIT) return xlc_fpclassify_and_signbit(number, is_negative);#endif#if defined(TRIO_FUNC_INTERNAL_FPCLASSIFY_AND_SIGNBIT) /* * Fallback solution. */ int rc; if (number == 0.0) { /* * In IEEE 754 the sign of zero is ignored in comparisons, so we * have to handle this as a special case by examining the sign bit * directly. */# if defined(TRIO_IEEE_754) *is_negative = internal_is_negative(number);# else *is_negative = TRIO_FALSE; /* FIXME */# endif return TRIO_FP_ZERO; } if (internal_isnan(number)) { *is_negative = TRIO_FALSE; return TRIO_FP_NAN; } rc = internal_isinf(number); if (rc != 0) { *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/** Check for NaN. @param number An arbitrary floating-point number. @return Boolean value indicating whether or not the number is a NaN.*/#if defined(TRIO_FUNC_ISNAN)TRIO_PUBLIC_NAN inttrio_isnanTRIO_ARGS1((number), double number){ int dummy; return (trio_fpclassify_and_signbit(number, &dummy) == TRIO_FP_NAN);}#endif/** Check for infinity. @param number An arbitrary floating-point number. @return 1 if positive infinity, -1 if negative infinity, 0 otherwise.*/#if defined(TRIO_FUNC_ISINF)TRIO_PUBLIC_NAN inttrio_isinfTRIO_ARGS1((number), double number){ int is_negative; if (trio_fpclassify_and_signbit(number, &is_negative) == TRIO_FP_INFINITE) { return (is_negative) ? -1 : 1; } else { return 0; }}#endif/** Check for finity. @param number An arbitrary floating-point number. @return Boolean value indicating whether or not the number is a finite.*/#if defined(TRIO_FUNC_ISFINITE)TRIO_PUBLIC_NAN inttrio_isfiniteTRIO_ARGS1((number), double number){ int dummy; switch (trio_fpclassify_and_signbit(number, &dummy)) { case TRIO_FP_INFINITE: case TRIO_FP_NAN: return 0; default: return 1; }}#endif/** Examine the sign of a number. @param number An arbitrary floating-point number. @return Boolean value indicating whether or not the number has the sign bit set (i.e. is negative).*/#if defined(TRIO_FUNC_SIGNBIT)TRIO_PUBLIC_NAN inttrio_signbitTRIO_ARGS1((number), double number){ int is_negative; (void)trio_fpclassify_and_signbit(number, &is_negative); return is_negative;}#endif/** Examine the class of a number. @param number An arbitrary floating-point number. @return Enumerable value indicating the class of @p number*/#if defined(TRIO_FUNC_FPCLASSIFY)TRIO_PUBLIC_NAN inttrio_fpclassifyTRIO_ARGS1((number), double number){ int dummy; return trio_fpclassify_and_signbit(number, &dummy);}#endif/** Generate negative zero. @return Floating-point representation of negative zero.*/#if defined(TRIO_FUNC_NZERO)TRIO_PUBLIC_NAN doubletrio_nzero(TRIO_NOARGS){# if defined(TRIO_NZERO_IEEE_754) return internal_make_double(ieee_754_negzero_array);# endif # if defined(TRIO_NZERO_FALLBACK) TRIO_VOLATILE double zero = 0.0; return -zero; # endif}#endif/** Generate positive infinity. @return Floating-point representation of positive infinity.*/#if defined(TRIO_FUNC_PINF)TRIO_PUBLIC_NAN doubletrio_pinf(TRIO_NOARGS){ /* Cache the result */ static double pinf_value = 0.0; if (pinf_value == 0.0) {# if defined(TRIO_PINF_C99_MACRO) pinf_value = (double)INFINITY;# endif # if defined(TRIO_PINF_IEEE_754) pinf_value = internal_make_double(ieee_754_infinity_array);# endif# if defined(TRIO_PINF_FALLBACK) /* * If HUGE_VAL is different from DBL_MAX, then HUGE_VAL is used * as infinity. Otherwise we have to resort to an overflow * operation to generate infinity. */# if defined(TRIO_PLATFORM_UNIX) void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);# endif pinf_value = HUGE_VAL; if (HUGE_VAL == DBL_MAX) { /* Force overflow */ pinf_value += HUGE_VAL; } # if defined(TRIO_PLATFORM_UNIX) signal(SIGFPE, signal_handler);# endif# endif } return pinf_value;}#endif/** Generate negative infinity. @return Floating-point value of negative infinity.*/#if defined(TRIO_FUNC_NINF)TRIO_PUBLIC_NAN doubletrio_ninf(TRIO_NOARGS){ static double ninf_value = 0.0; if (ninf_value == 0.0) { /* * Negative infinity is calculated by negating positive infinity, * which can be done because it is legal to do calculations on * infinity (for example, 1 / infinity == 0). */ ninf_value = -trio_pinf(); } return ninf_value;}#endif/** Generate NaN. @return Floating-point representation of NaN.*/#if defined(TRIO_FUNC_NAN)TRIO_PUBLIC_NAN doubletrio_nan(TRIO_NOARGS){ /* Cache the result */ static double nan_value = 0.0; if (nan_value == 0.0) { # if defined(TRIO_NAN_C99_FUNCTION) || defined(TRIO_PLATFORM_SYMBIAN) nan_value = nan("");# endif # if defined(TRIO_NAN_C99_MACRO) nan_value = (double)NAN;# endif# if defined(TRIO_NAN_IEEE_754) nan_value = internal_make_double(ieee_754_qnan_array);# endif # if defined(TRIO_NAN_FALLBACK) /* * There are several ways to generate NaN. The one used here is * to divide infinity by infinity. I would have preferred to add * negative infinity to positive infinity, but that yields wrong * result (infinity) on FreeBSD. * * This may fail if the hardware does not support NaN, or if * the Invalid Operation floating-point exception is unmasked. */# if defined(TRIO_PLATFORM_UNIX) void (*signal_handler)(int) = signal(SIGFPE, SIG_IGN);# endif nan_value = trio_pinf() / trio_pinf(); # if defined(TRIO_PLATFORM_UNIX) signal(SIGFPE, signal_handler);# endif# endif } return nan_value;}#endif/** @} SpecialQuantities *//************************************************************************* * For test purposes. * * Add the following compiler option to include this test code. * * Unix : -DSTANDALONE * VMS : /DEFINE=(STANDALONE) */#if defined(STANDALONE)# include <stdio.h>static TRIO_CONST char *getClassificationTRIO_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 voidprint_classTRIO_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, %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), trio_isfinite(my_nan)); printf("PInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %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), trio_isfinite(my_pinf)); printf("NInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %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), trio_isfinite(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, %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), trio_isfinite(my_nan)); printf("PInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %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), trio_isfinite(my_pinf)); printf("NInf: %4g 0x%02x%02x%02x%02x%02x%02x%02x%02x (%2d, %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), trio_isfinite(my_ninf)); return 0;}#endif
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