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Diffstat (limited to 'src/math/ceill.c')
| -rw-r--r-- | src/math/ceill.c | 103 | 
1 files changed, 103 insertions, 0 deletions
diff --git a/src/math/ceill.c b/src/math/ceill.c new file mode 100644 index 00000000..b938cc7f --- /dev/null +++ b/src/math/ceill.c @@ -0,0 +1,103 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/s_ceill.c */ +/* + * ==================================================== + * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * + * Developed at SunPro, a Sun Microsystems, Inc. business. + * Permission to use, copy, modify, and distribute this + * software is freely granted, provided that this notice + * is preserved. + * ==================================================== + */ +/* + * ceill(x) + * Return x rounded toward -inf to integral value + * Method: + *      Bit twiddling. + * Exception: + *      Inexact flag raised if x not equal to ceill(x). + */ + +#include "libm.h" + +#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 +long double ceill(long double x) +{ +	return ceil(x); +} +#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 + +#ifdef LDBL_IMPLICIT_NBIT +#define MANH_SIZE       (LDBL_MANH_SIZE + 1) +#define INC_MANH(u, c)  do {                                    \ +	uint64_t o = u.bits.manh;                               \ +	u.bits.manh += (c);                                     \ +	if (u.bits.manh < o)                                    \ +		u.bits.exp++;                                   \ +} while (0) +#else +#define MANH_SIZE       LDBL_MANH_SIZE +#define INC_MANH(u, c)  do {                                    \ +	uint64_t o = u.bits.manh;                               \ +	u.bits.manh += (c);                                     \ +	if (u.bits.manh < o) {                                  \ +		u.bits.exp++;                                   \ +		u.bits.manh |= 1llu << (LDBL_MANH_SIZE - 1);    \ +	}                                                       \ +} while (0) +#endif + +static const long double huge = 1.0e300; + +long double +ceill(long double x) +{ +	union IEEEl2bits u = { .e = x }; +	int e = u.bits.exp - LDBL_MAX_EXP + 1; + +	if (e < MANH_SIZE - 1) { +		if (e < 0) { +			/* raise inexact if x != 0 */ +			if (huge + x > 0.0) +				if (u.bits.exp > 0 || +					(u.bits.manh | u.bits.manl) != 0) +					u.e = u.bits.sign ? -0.0 : 1.0; +		} else { +			uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1); +			if (((u.bits.manh & m) | u.bits.manl) == 0) +				return x;  /* x is integral */ +			if (!u.bits.sign) { +#ifdef LDBL_IMPLICIT_NBIT +				if (e == 0) +					u.bits.exp++; +				else +#endif +				INC_MANH(u, 1llu << (MANH_SIZE - e - 1)); +			} +			/* raise inexact flag */ +			if (huge + x > 0.0) { +				u.bits.manh &= ~m; +				u.bits.manl = 0; +			} +		} +	} else if (e < LDBL_MANT_DIG - 1) { +		uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1); +		if ((u.bits.manl & m) == 0) +			return x;  /* x is integral */ +		if (!u.bits.sign) { +			if (e == MANH_SIZE - 1) +				INC_MANH(u, 1); +			else { +				uint64_t o = u.bits.manl; +				u.bits.manl += 1llu << (LDBL_MANT_DIG - e - 1); +				if (u.bits.manl < o)    /* got a carry */ +					INC_MANH(u, 1); +			} +		} +		/* raise inexact flag */ +		if (huge + x > 0.0) +			u.bits.manl &= ~m; +	} +	return u.e; +} +#endif  | 
