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2020-01-19 release

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bellard
2020-09-06 18:57:11 +02:00
parent 91459fb672
commit 0e8fffd4de
26 changed files with 4298 additions and 3639 deletions
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119
libbf.h
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@@ -41,8 +41,8 @@ typedef unsigned __int128 uint128_t;
typedef int64_t slimb_t;
typedef uint64_t limb_t;
typedef uint128_t dlimb_t;
#define EXP_MIN INT64_MIN
#define EXP_MAX INT64_MAX
#define BF_RAW_EXP_MIN INT64_MIN
#define BF_RAW_EXP_MAX INT64_MAX
#define LIMB_DIGITS 19
#define BF_DEC_BASE UINT64_C(10000000000000000000)
@@ -52,8 +52,8 @@ typedef uint128_t dlimb_t;
typedef int32_t slimb_t;
typedef uint32_t limb_t;
typedef uint64_t dlimb_t;
#define EXP_MIN INT32_MIN
#define EXP_MAX INT32_MAX
#define BF_RAW_EXP_MIN INT32_MIN
#define BF_RAW_EXP_MAX INT32_MAX
#define LIMB_DIGITS 9
#define BF_DEC_BASE 1000000000U
@@ -61,10 +61,17 @@ typedef uint64_t dlimb_t;
#endif
/* in bits */
/* minimum number of bits for the exponent */
#define BF_EXP_BITS_MIN 3
#define BF_EXP_BITS_MAX (LIMB_BITS - 2)
/* maximum number of bits for the exponent */
#define BF_EXP_BITS_MAX (LIMB_BITS - 3)
/* extended range for exponent, used internally */
#define BF_EXT_EXP_BITS_MAX (BF_EXP_BITS_MAX + 1)
/* minimum possible precision */
#define BF_PREC_MIN 2
#define BF_PREC_MAX (((limb_t)1 << BF_EXP_BITS_MAX) - 2)
/* minimum possible precision */
#define BF_PREC_MAX (((limb_t)1 << (LIMB_BITS - 2)) - 2)
/* some operations support infinite precision */
#define BF_PREC_INF (BF_PREC_MAX + 1) /* infinite precision */
#if LIMB_BITS == 64
@@ -73,9 +80,9 @@ typedef uint64_t dlimb_t;
#define BF_CHKSUM_MOD 975620677U
#endif
#define BF_EXP_ZERO EXP_MIN
#define BF_EXP_INF (EXP_MAX - 1)
#define BF_EXP_NAN EXP_MAX
#define BF_EXP_ZERO BF_RAW_EXP_MIN
#define BF_EXP_INF (BF_RAW_EXP_MAX - 1)
#define BF_EXP_NAN BF_RAW_EXP_MAX
/* +/-zero is represented with expn = BF_EXP_ZERO and len = 0,
+/-infinity is represented with expn = BF_EXP_INF and len = 0,
@@ -101,27 +108,29 @@ typedef struct {
typedef enum {
BF_RNDN, /* round to nearest, ties to even */
BF_RNDZ, /* round to zero */
BF_RNDD, /* round to -inf */
BF_RNDD, /* round to -inf (the code relies on (BF_RNDD xor BF_RNDU) = 1) */
BF_RNDU, /* round to +inf */
BF_RNDNA, /* round to nearest, ties away from zero */
BF_RNDNU, /* round to nearest, ties to +inf */
BF_RNDA, /* round away from zero */
BF_RNDF, /* faithful rounding (nondeterministic, either RNDD or RNDU,
inexact flag is always set) */
} bf_rnd_t;
/* allow subnormal numbers. Only available if the number of exponent
bits is < BF_EXP_BITS_MAX and prec != BF_PREC_INF. Not supported
for decimal floating point numbers. */
bits is <= BF_EXP_BITS_USER_MAX and prec != BF_PREC_INF. */
#define BF_FLAG_SUBNORMAL (1 << 3)
/* 'prec' is the precision after the radix point instead of the whole
mantissa. Can only be used with bf_round(), bfdec_round() and
bfdev_div(). */
mantissa. Can only be used with bf_round() and
bfdec_[add|sub|mul|div|sqrt|round](). */
#define BF_FLAG_RADPNT_PREC (1 << 4)
#define BF_RND_MASK 0x7
#define BF_EXP_BITS_SHIFT 5
#define BF_EXP_BITS_MASK 0x3f
/* shortcut for bf_set_exp_bits(BF_EXT_EXP_BITS_MAX) */
#define BF_FLAG_EXT_EXP (BF_EXP_BITS_MASK << BF_EXP_BITS_SHIFT)
/* contains the rounding mode and number of exponents bits */
typedef uint32_t bf_flags_t;
@@ -142,12 +151,17 @@ typedef struct bf_context_t {
static inline int bf_get_exp_bits(bf_flags_t flags)
{
return BF_EXP_BITS_MAX - ((flags >> BF_EXP_BITS_SHIFT) & BF_EXP_BITS_MASK);
int e;
e = (flags >> BF_EXP_BITS_SHIFT) & BF_EXP_BITS_MASK;
if (e == BF_EXP_BITS_MASK)
return BF_EXP_BITS_MAX + 1;
else
return BF_EXP_BITS_MAX - e;
}
static inline bf_flags_t bf_set_exp_bits(int n)
{
return (BF_EXP_BITS_MAX - n) << BF_EXP_BITS_SHIFT;
return ((BF_EXP_BITS_MAX - n) & BF_EXP_BITS_MASK) << BF_EXP_BITS_SHIFT;
}
/* returned status */
@@ -249,9 +263,22 @@ int bf_set_float64(bf_t *a, double d);
int bf_cmpu(const bf_t *a, const bf_t *b);
int bf_cmp_full(const bf_t *a, const bf_t *b);
int bf_cmp_eq(const bf_t *a, const bf_t *b);
int bf_cmp_le(const bf_t *a, const bf_t *b);
int bf_cmp_lt(const bf_t *a, const bf_t *b);
int bf_cmp(const bf_t *a, const bf_t *b);
static inline int bf_cmp_eq(const bf_t *a, const bf_t *b)
{
return bf_cmp(a, b) == 0;
}
static inline int bf_cmp_le(const bf_t *a, const bf_t *b)
{
return bf_cmp(a, b) <= 0;
}
static inline int bf_cmp_lt(const bf_t *a, const bf_t *b)
{
return bf_cmp(a, b) < 0;
}
int bf_add(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec, bf_flags_t flags);
int bf_sub(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec, bf_flags_t flags);
int bf_add_si(bf_t *r, const bf_t *a, int64_t b1, limb_t prec, bf_flags_t flags);
@@ -264,12 +291,10 @@ int bf_div(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec, bf_flags_t flags)
#define BF_DIVREM_EUCLIDIAN BF_RNDF
int bf_divrem(bf_t *q, bf_t *r, const bf_t *a, const bf_t *b,
limb_t prec, bf_flags_t flags, int rnd_mode);
int bf_fmod(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec,
bf_flags_t flags);
int bf_remainder(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec,
bf_flags_t flags);
int bf_rem(bf_t *r, const bf_t *a, const bf_t *b, limb_t prec,
bf_flags_t flags, int rnd_mode);
int bf_remquo(slimb_t *pq, bf_t *r, const bf_t *a, const bf_t *b, limb_t prec,
bf_flags_t flags);
bf_flags_t flags, int rnd_mode);
/* round to integer with infinite precision */
int bf_rint(bf_t *r, int rnd_mode);
int bf_round(bf_t *r, limb_t prec, bf_flags_t flags);
@@ -304,8 +329,8 @@ int bf_mul_pow_radix(bf_t *r, const bf_t *T, limb_t radix,
/* Conversion of floating point number to string. Return a null
terminated string or NULL if memory error. *plen contains its
length if plen != NULL. The exponent letter is "e" for base 10,
"p" for bases 2, 8, 16 with the binary exponent and "@" for the
other bases. */
"p" for bases 2, 8, 16 with a binary exponent and "@" for the other
bases. */
#define BF_FTOA_FORMAT_MASK (3 << 16)
@@ -316,17 +341,23 @@ int bf_mul_pow_radix(bf_t *r, const bf_t *T, limb_t radix,
/* fractional format: prec digits after the decimal point rounded with
(flags & BF_RND_MASK) */
#define BF_FTOA_FORMAT_FRAC (1 << 16)
/* free format: use as many digits as necessary so that bf_atof()
return the same number when using precision 'prec', rounding to
nearest and the subnormal+exponent configuration of 'flags'. The
result is meaningful only if 'a' is already rounded to the wanted
precision.
/* free format:
Infinite precision (BF_PREC_INF) is supported when the radix is a
power of two. */
For binary radices with bf_ftoa() and for bfdec_ftoa(): use the minimum
number of digits to represent 'a'. The precision and the rounding
mode are ignored.
For the non binary radices with bf_ftoa(): use as many digits as
necessary so that bf_atof() return the same number when using
precision 'prec', rounding to nearest and the subnormal
configuration of 'flags'. The result is meaningful only if 'a' is
already rounded to 'prec' bits. If the subnormal flag is set, the
exponent in 'flags' must also be set to the desired exponent range.
*/
#define BF_FTOA_FORMAT_FREE (2 << 16)
/* same as BF_FTOA_FORMAT_FREE but uses the minimum number of digits
(takes more computation time). */
(takes more computation time). Identical to BF_FTOA_FORMAT_FREE for
binary radices with bf_ftoa() and for bfdec_ftoa(). */
#define BF_FTOA_FORMAT_FREE_MIN (3 << 16)
/* force exponential notation for fixed or free format */
@@ -370,7 +401,7 @@ int bf_const_log2(bf_t *T, limb_t prec, bf_flags_t flags);
int bf_const_pi(bf_t *T, limb_t prec, bf_flags_t flags);
int bf_exp(bf_t *r, const bf_t *a, limb_t prec, bf_flags_t flags);
int bf_log(bf_t *r, const bf_t *a, limb_t prec, bf_flags_t flags);
#define BF_POW_JS_QUICKS (1 << 16)
#define BF_POW_JS_QUIRKS (1 << 16) /* (+/-1)^(+/-Inf) = NaN, 1^NaN = NaN */
int bf_pow(bf_t *r, const bf_t *x, const bf_t *y, limb_t prec, bf_flags_t flags);
int bf_cos(bf_t *r, const bf_t *a, limb_t prec, bf_flags_t flags);
int bf_sin(bf_t *r, const bf_t *a, limb_t prec, bf_flags_t flags);
@@ -448,17 +479,21 @@ static inline int bfdec_cmp_full(const bfdec_t *a, const bfdec_t *b)
{
return bf_cmp_full((const bf_t *)a, (const bf_t *)b);
}
static inline int bfdec_cmp(const bfdec_t *a, const bfdec_t *b)
{
return bf_cmp((const bf_t *)a, (const bf_t *)b);
}
static inline int bfdec_cmp_eq(const bfdec_t *a, const bfdec_t *b)
{
return bf_cmp_eq((const bf_t *)a, (const bf_t *)b);
return bfdec_cmp(a, b) == 0;
}
static inline int bfdec_cmp_le(const bfdec_t *a, const bfdec_t *b)
{
return bf_cmp_le((const bf_t *)a, (const bf_t *)b);
return bfdec_cmp(a, b) <= 0;
}
static inline int bfdec_cmp_lt(const bfdec_t *a, const bfdec_t *b)
{
return bf_cmp_lt((const bf_t *)a, (const bf_t *)b);
return bfdec_cmp(a, b) < 0;
}
int bfdec_add(bfdec_t *r, const bfdec_t *a, const bfdec_t *b, limb_t prec,
@@ -475,8 +510,8 @@ int bfdec_div(bfdec_t *r, const bfdec_t *a, const bfdec_t *b, limb_t prec,
bf_flags_t flags);
int bfdec_divrem(bfdec_t *q, bfdec_t *r, const bfdec_t *a, const bfdec_t *b,
limb_t prec, bf_flags_t flags, int rnd_mode);
int bfdec_fmod(bfdec_t *r, const bfdec_t *a, const bfdec_t *b, limb_t prec,
bf_flags_t flags);
int bfdec_rem(bfdec_t *r, const bfdec_t *a, const bfdec_t *b, limb_t prec,
bf_flags_t flags, int rnd_mode);
int bfdec_rint(bfdec_t *r, int rnd_mode);
int bfdec_sqrt(bfdec_t *r, const bfdec_t *a, limb_t prec, bf_flags_t flags);
int bfdec_round(bfdec_t *r, limb_t prec, bf_flags_t flags);
@@ -488,7 +523,7 @@ int bfdec_atof(bfdec_t *r, const char *str, const char **pnext,
limb_t prec, bf_flags_t flags);
/* the following functions are exported for testing only. */
extern limb_t mp_pow_dec[LIMB_DIGITS + 1];
extern const limb_t mp_pow_dec[LIMB_DIGITS + 1];
void bfdec_print_str(const char *str, const bfdec_t *a);
static inline int bfdec_resize(bfdec_t *r, limb_t len)
{