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-rw-r--r--nsprpub/pr/src/misc/prdtoa.c5042
1 files changed, 2614 insertions, 2428 deletions
diff --git a/nsprpub/pr/src/misc/prdtoa.c b/nsprpub/pr/src/misc/prdtoa.c
index 227692613..f0963370f 100644
--- a/nsprpub/pr/src/misc/prdtoa.c
+++ b/nsprpub/pr/src/misc/prdtoa.c
@@ -17,8 +17,8 @@
#include "prbit.h"
#define MULTIPLE_THREADS
-#define ACQUIRE_DTOA_LOCK(n) PR_Lock(dtoa_lock[n])
-#define FREE_DTOA_LOCK(n) PR_Unlock(dtoa_lock[n])
+#define ACQUIRE_DTOA_LOCK(n) PR_Lock(dtoa_lock[n])
+#define FREE_DTOA_LOCK(n) PR_Unlock(dtoa_lock[n])
static PRLock *dtoa_lock[2];
@@ -74,13 +74,13 @@ void _PR_CleanupDtoa(void)
***************************************************************/
/* Please send bug reports to David M. Gay (dmg at acm dot org,
- * with " at " changed at "@" and " dot " changed to "."). */
+ * with " at " changed at "@" and " dot " changed to "."). */
/* On a machine with IEEE extended-precision registers, it is
* necessary to specify double-precision (53-bit) rounding precision
* before invoking strtod or dtoa. If the machine uses (the equivalent
* of) Intel 80x87 arithmetic, the call
- * _control87(PC_53, MCW_PC);
+ * _control87(PC_53, MCW_PC);
* does this with many compilers. Whether this or another call is
* appropriate depends on the compiler; for this to work, it may be
* necessary to #include "float.h" or another system-dependent header
@@ -99,127 +99,127 @@ void _PR_CleanupDtoa(void)
*
* Modifications:
*
- * 1. We only require IEEE, IBM, or VAX double-precision
- * arithmetic (not IEEE double-extended).
- * 2. We get by with floating-point arithmetic in a case that
- * Clinger missed -- when we're computing d * 10^n
- * for a small integer d and the integer n is not too
- * much larger than 22 (the maximum integer k for which
- * we can represent 10^k exactly), we may be able to
- * compute (d*10^k) * 10^(e-k) with just one roundoff.
- * 3. Rather than a bit-at-a-time adjustment of the binary
- * result in the hard case, we use floating-point
- * arithmetic to determine the adjustment to within
- * one bit; only in really hard cases do we need to
- * compute a second residual.
- * 4. Because of 3., we don't need a large table of powers of 10
- * for ten-to-e (just some small tables, e.g. of 10^k
- * for 0 <= k <= 22).
+ * 1. We only require IEEE, IBM, or VAX double-precision
+ * arithmetic (not IEEE double-extended).
+ * 2. We get by with floating-point arithmetic in a case that
+ * Clinger missed -- when we're computing d * 10^n
+ * for a small integer d and the integer n is not too
+ * much larger than 22 (the maximum integer k for which
+ * we can represent 10^k exactly), we may be able to
+ * compute (d*10^k) * 10^(e-k) with just one roundoff.
+ * 3. Rather than a bit-at-a-time adjustment of the binary
+ * result in the hard case, we use floating-point
+ * arithmetic to determine the adjustment to within
+ * one bit; only in really hard cases do we need to
+ * compute a second residual.
+ * 4. Because of 3., we don't need a large table of powers of 10
+ * for ten-to-e (just some small tables, e.g. of 10^k
+ * for 0 <= k <= 22).
*/
/*
* #define IEEE_8087 for IEEE-arithmetic machines where the least
- * significant byte has the lowest address.
+ * significant byte has the lowest address.
* #define IEEE_MC68k for IEEE-arithmetic machines where the most
- * significant byte has the lowest address.
+ * significant byte has the lowest address.
* #define IEEE_ARM for IEEE-arithmetic machines where the two words
- * in a double are stored in big endian order but the two shorts
- * in a word are still stored in little endian order.
+ * in a double are stored in big endian order but the two shorts
+ * in a word are still stored in little endian order.
* #define Long int on machines with 32-bit ints and 64-bit longs.
* #define IBM for IBM mainframe-style floating-point arithmetic.
* #define VAX for VAX-style floating-point arithmetic (D_floating).
* #define No_leftright to omit left-right logic in fast floating-point
- * computation of dtoa.
+ * computation of dtoa.
* #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
- * and strtod and dtoa should round accordingly.
+ * and strtod and dtoa should round accordingly.
* #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
- * and Honor_FLT_ROUNDS is not #defined.
+ * and Honor_FLT_ROUNDS is not #defined.
* #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
- * that use extended-precision instructions to compute rounded
- * products and quotients) with IBM.
+ * that use extended-precision instructions to compute rounded
+ * products and quotients) with IBM.
* #define ROUND_BIASED for IEEE-format with biased rounding.
* #define Inaccurate_Divide for IEEE-format with correctly rounded
- * products but inaccurate quotients, e.g., for Intel i860.
+ * products but inaccurate quotients, e.g., for Intel i860.
* #define NO_LONG_LONG on machines that do not have a "long long"
- * integer type (of >= 64 bits). On such machines, you can
- * #define Just_16 to store 16 bits per 32-bit Long when doing
- * high-precision integer arithmetic. Whether this speeds things
- * up or slows things down depends on the machine and the number
- * being converted. If long long is available and the name is
- * something other than "long long", #define Llong to be the name,
- * and if "unsigned Llong" does not work as an unsigned version of
- * Llong, #define #ULLong to be the corresponding unsigned type.
+ * integer type (of >= 64 bits). On such machines, you can
+ * #define Just_16 to store 16 bits per 32-bit Long when doing
+ * high-precision integer arithmetic. Whether this speeds things
+ * up or slows things down depends on the machine and the number
+ * being converted. If long long is available and the name is
+ * something other than "long long", #define Llong to be the name,
+ * and if "unsigned Llong" does not work as an unsigned version of
+ * Llong, #define #ULLong to be the corresponding unsigned type.
* #define KR_headers for old-style C function headers.
* #define Bad_float_h if your system lacks a float.h or if it does not
- * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
- * FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
+ * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
+ * FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
* #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
- * if memory is available and otherwise does something you deem
- * appropriate. If MALLOC is undefined, malloc will be invoked
- * directly -- and assumed always to succeed. Similarly, if you
- * want something other than the system's free() to be called to
- * recycle memory acquired from MALLOC, #define FREE to be the
- * name of the alternate routine. (FREE or free is only called in
- * pathological cases, e.g., in a dtoa call after a dtoa return in
- * mode 3 with thousands of digits requested.)
+ * if memory is available and otherwise does something you deem
+ * appropriate. If MALLOC is undefined, malloc will be invoked
+ * directly -- and assumed always to succeed. Similarly, if you
+ * want something other than the system's free() to be called to
+ * recycle memory acquired from MALLOC, #define FREE to be the
+ * name of the alternate routine. (FREE or free is only called in
+ * pathological cases, e.g., in a dtoa call after a dtoa return in
+ * mode 3 with thousands of digits requested.)
* #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
- * memory allocations from a private pool of memory when possible.
- * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
- * unless #defined to be a different length. This default length
- * suffices to get rid of MALLOC calls except for unusual cases,
- * such as decimal-to-binary conversion of a very long string of
- * digits. The longest string dtoa can return is about 751 bytes
- * long. For conversions by strtod of strings of 800 digits and
- * all dtoa conversions in single-threaded executions with 8-byte
- * pointers, PRIVATE_MEM >= 7400 appears to suffice; with 4-byte
- * pointers, PRIVATE_MEM >= 7112 appears adequate.
+ * memory allocations from a private pool of memory when possible.
+ * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
+ * unless #defined to be a different length. This default length
+ * suffices to get rid of MALLOC calls except for unusual cases,
+ * such as decimal-to-binary conversion of a very long string of
+ * digits. The longest string dtoa can return is about 751 bytes
+ * long. For conversions by strtod of strings of 800 digits and
+ * all dtoa conversions in single-threaded executions with 8-byte
+ * pointers, PRIVATE_MEM >= 7400 appears to suffice; with 4-byte
+ * pointers, PRIVATE_MEM >= 7112 appears adequate.
* #define INFNAN_CHECK on IEEE systems to cause strtod to check for
- * Infinity and NaN (case insensitively). On some systems (e.g.,
- * some HP systems), it may be necessary to #define NAN_WORD0
- * appropriately -- to the most significant word of a quiet NaN.
- * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
- * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
- * strtod also accepts (case insensitively) strings of the form
- * NaN(x), where x is a string of hexadecimal digits and spaces;
- * if there is only one string of hexadecimal digits, it is taken
- * for the 52 fraction bits of the resulting NaN; if there are two
- * or more strings of hex digits, the first is for the high 20 bits,
- * the second and subsequent for the low 32 bits, with intervening
- * white space ignored; but if this results in none of the 52
- * fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0
- * and NAN_WORD1 are used instead.
+ * Infinity and NaN (case insensitively). On some systems (e.g.,
+ * some HP systems), it may be necessary to #define NAN_WORD0
+ * appropriately -- to the most significant word of a quiet NaN.
+ * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
+ * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
+ * strtod also accepts (case insensitively) strings of the form
+ * NaN(x), where x is a string of hexadecimal digits and spaces;
+ * if there is only one string of hexadecimal digits, it is taken
+ * for the 52 fraction bits of the resulting NaN; if there are two
+ * or more strings of hex digits, the first is for the high 20 bits,
+ * the second and subsequent for the low 32 bits, with intervening
+ * white space ignored; but if this results in none of the 52
+ * fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0
+ * and NAN_WORD1 are used instead.
* #define MULTIPLE_THREADS if the system offers preemptively scheduled
- * multiple threads. In this case, you must provide (or suitably
- * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
- * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
- * in pow5mult, ensures lazy evaluation of only one copy of high
- * powers of 5; omitting this lock would introduce a small
- * probability of wasting memory, but would otherwise be harmless.)
- * You must also invoke freedtoa(s) to free the value s returned by
- * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
+ * multiple threads. In this case, you must provide (or suitably
+ * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
+ * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
+ * in pow5mult, ensures lazy evaluation of only one copy of high
+ * powers of 5; omitting this lock would introduce a small
+ * probability of wasting memory, but would otherwise be harmless.)
+ * You must also invoke freedtoa(s) to free the value s returned by
+ * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
* #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that
- * avoids underflows on inputs whose result does not underflow.
- * If you #define NO_IEEE_Scale on a machine that uses IEEE-format
- * floating-point numbers and flushes underflows to zero rather
- * than implementing gradual underflow, then you must also #define
- * Sudden_Underflow.
+ * avoids underflows on inputs whose result does not underflow.
+ * If you #define NO_IEEE_Scale on a machine that uses IEEE-format
+ * floating-point numbers and flushes underflows to zero rather
+ * than implementing gradual underflow, then you must also #define
+ * Sudden_Underflow.
* #define USE_LOCALE to use the current locale's decimal_point value.
* #define SET_INEXACT if IEEE arithmetic is being used and extra
- * computation should be done to set the inexact flag when the
- * result is inexact and avoid setting inexact when the result
- * is exact. In this case, dtoa.c must be compiled in
- * an environment, perhaps provided by #include "dtoa.c" in a
- * suitable wrapper, that defines two functions,
- * int get_inexact(void);
- * void clear_inexact(void);
- * such that get_inexact() returns a nonzero value if the
- * inexact bit is already set, and clear_inexact() sets the
- * inexact bit to 0. When SET_INEXACT is #defined, strtod
- * also does extra computations to set the underflow and overflow
- * flags when appropriate (i.e., when the result is tiny and
- * inexact or when it is a numeric value rounded to +-infinity).
+ * computation should be done to set the inexact flag when the
+ * result is inexact and avoid setting inexact when the result
+ * is exact. In this case, dtoa.c must be compiled in
+ * an environment, perhaps provided by #include "dtoa.c" in a
+ * suitable wrapper, that defines two functions,
+ * int get_inexact(void);
+ * void clear_inexact(void);
+ * such that get_inexact() returns a nonzero value if the
+ * inexact bit is already set, and clear_inexact() sets the
+ * inexact bit to 0. When SET_INEXACT is #defined, strtod
+ * also does extra computations to set the underflow and overflow
+ * flags when appropriate (i.e., when the result is tiny and
+ * inexact or when it is a numeric value rounded to +-infinity).
* #define NO_ERRNO if strtod should not assign errno = ERANGE when
- * the result overflows to +-Infinity or underflows to 0.
+ * the result overflows to +-Infinity or underflows to 0.
*/
#ifndef Long
@@ -337,7 +337,10 @@ extern "C" {
Exactly one of IEEE_8087, IEEE_MC68k, IEEE_ARM, VAX, or IBM should be defined.
#endif
-typedef union { double d; ULong L[2]; } U;
+typedef union {
+ double d;
+ ULong L[2];
+} U;
#define dval(x) (x).d
#ifdef IEEE_8087
@@ -393,7 +396,7 @@ typedef union { double d; ULong L[2]; } U;
#define Int_max 14
#ifndef NO_IEEE_Scale
#define Avoid_Underflow
-#ifdef Flush_Denorm /* debugging option */
+#ifdef Flush_Denorm /* debugging option */
#undef Sudden_Underflow
#endif
#endif
@@ -432,7 +435,7 @@ typedef union { double d; ULong L[2]; } U;
#define Bias 65
#define Exp_1 0x41000000
#define Exp_11 0x41000000
-#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
+#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
#define Frac_mask 0xffffff
#define Frac_mask1 0xffffff
#define Bletch 4
@@ -515,7 +518,7 @@ extern double rnd_prod(double, double), rnd_quot(double, double);
* slower. Hence the default is now to store 32 bits per Long.
*/
#endif
-#else /* long long available */
+#else /* long long available */
#ifndef Llong
#define Llong long long
#endif
@@ -525,969 +528,1006 @@ extern double rnd_prod(double, double), rnd_quot(double, double);
#endif /* NO_LONG_LONG */
#ifndef MULTIPLE_THREADS
-#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
-#define FREE_DTOA_LOCK(n) /*nothing*/
+#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
+#define FREE_DTOA_LOCK(n) /*nothing*/
#endif
#define Kmax 7
- struct
-Bigint {
- struct Bigint *next;
- int k, maxwds, sign, wds;
- ULong x[1];
- };
+struct
+ Bigint {
+ struct Bigint *next;
+ int k, maxwds, sign, wds;
+ ULong x[1];
+};
- typedef struct Bigint Bigint;
+typedef struct Bigint Bigint;
- static Bigint *freelist[Kmax+1];
+static Bigint *freelist[Kmax+1];
- static Bigint *
+static Bigint *
Balloc
#ifdef KR_headers
- (k) int k;
+(k) int k;
#else
- (int k)
+(int k)
#endif
{
- int x;
- Bigint *rv;
+ int x;
+ Bigint *rv;
#ifndef Omit_Private_Memory
- unsigned int len;
+ unsigned int len;
#endif
- ACQUIRE_DTOA_LOCK(0);
- /* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
- /* but this case seems very unlikely. */
- if (k <= Kmax && (rv = freelist[k]))
- freelist[k] = rv->next;
- else {
- x = 1 << k;
+ ACQUIRE_DTOA_LOCK(0);
+ /* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
+ /* but this case seems very unlikely. */
+ if (k <= Kmax && (rv = freelist[k])) {
+ freelist[k] = rv->next;
+ }
+ else {
+ x = 1 << k;
#ifdef Omit_Private_Memory
- rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
-#else
- len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
- /sizeof(double);
- if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
- rv = (Bigint*)pmem_next;
- pmem_next += len;
- }
- else
- rv = (Bigint*)MALLOC(len*sizeof(double));
-#endif
- rv->k = k;
- rv->maxwds = x;
- }
- FREE_DTOA_LOCK(0);
- rv->sign = rv->wds = 0;
- return rv;
- }
-
- static void
+ rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
+#else
+ len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
+ /sizeof(double);
+ if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
+ rv = (Bigint*)pmem_next;
+ pmem_next += len;
+ }
+ else {
+ rv = (Bigint*)MALLOC(len*sizeof(double));
+ }
+#endif
+ rv->k = k;
+ rv->maxwds = x;
+ }
+ FREE_DTOA_LOCK(0);
+ rv->sign = rv->wds = 0;
+ return rv;
+}
+
+static void
Bfree
#ifdef KR_headers
- (v) Bigint *v;
+(v) Bigint *v;
#else
- (Bigint *v)
+(Bigint *v)
#endif
{
- if (v) {
- if (v->k > Kmax)
+ if (v) {
+ if (v->k > Kmax)
#ifdef FREE
- FREE((void*)v);
+ FREE((void*)v);
#else
- free((void*)v);
+ free((void*)v);
#endif
- else {
- ACQUIRE_DTOA_LOCK(0);
- v->next = freelist[v->k];
- freelist[v->k] = v;
- FREE_DTOA_LOCK(0);
- }
- }
- }
+ else {
+ ACQUIRE_DTOA_LOCK(0);
+ v->next = freelist[v->k];
+ freelist[v->k] = v;
+ FREE_DTOA_LOCK(0);
+ }
+ }
+}
#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
y->wds*sizeof(Long) + 2*sizeof(int))
- static Bigint *
+static Bigint *
multadd
#ifdef KR_headers
- (b, m, a) Bigint *b; int m, a;
+(b, m, a) Bigint *b; int m, a;
#else
- (Bigint *b, int m, int a) /* multiply by m and add a */
+(Bigint *b, int m, int a) /* multiply by m and add a */
#endif
{
- int i, wds;
+ int i, wds;
#ifdef ULLong
- ULong *x;
- ULLong carry, y;
+ ULong *x;
+ ULLong carry, y;
#else
- ULong carry, *x, y;
+ ULong carry, *x, y;
#ifdef Pack_32
- ULong xi, z;
+ ULong xi, z;
#endif
#endif
- Bigint *b1;
+ Bigint *b1;
- wds = b->wds;
- x = b->x;
- i = 0;
- carry = a;
- do {
+ wds = b->wds;
+ x = b->x;
+ i = 0;
+ carry = a;
+ do {
#ifdef ULLong
- y = *x * (ULLong)m + carry;
- carry = y >> 32;
- *x++ = y & FFFFFFFF;
+ y = *x * (ULLong)m + carry;
+ carry = y >> 32;
+ *x++ = y & FFFFFFFF;
#else
#ifdef Pack_32
- xi = *x;
- y = (xi & 0xffff) * m + carry;
- z = (xi >> 16) * m + (y >> 16);
- carry = z >> 16;
- *x++ = (z << 16) + (y & 0xffff);
-#else
- y = *x * m + carry;
- carry = y >> 16;
- *x++ = y & 0xffff;
-#endif
-#endif
- }
- while(++i < wds);
- if (carry) {
- if (wds >= b->maxwds) {
- b1 = Balloc(b->k+1);
- Bcopy(b1, b);
- Bfree(b);
- b = b1;
- }
- b->x[wds++] = carry;
- b->wds = wds;
- }
- return b;
- }
-
- static Bigint *
+ xi = *x;
+ y = (xi & 0xffff) * m + carry;
+ z = (xi >> 16) * m + (y >> 16);
+ carry = z >> 16;
+ *x++ = (z << 16) + (y & 0xffff);
+#else
+ y = *x * m + carry;
+ carry = y >> 16;
+ *x++ = y & 0xffff;
+#endif
+#endif
+ }
+ while(++i < wds);
+ if (carry) {
+ if (wds >= b->maxwds) {
+ b1 = Balloc(b->k+1);
+ Bcopy(b1, b);
+ Bfree(b);
+ b = b1;
+ }
+ b->x[wds++] = carry;
+ b->wds = wds;
+ }
+ return b;
+}
+
+static Bigint *
s2b
#ifdef KR_headers
- (s, nd0, nd, y9) CONST char *s; int nd0, nd; ULong y9;
+(s, nd0, nd, y9) CONST char *s; int nd0, nd; ULong y9;
#else
- (CONST char *s, int nd0, int nd, ULong y9)
+(CONST char *s, int nd0, int nd, ULong y9)
#endif
{
- Bigint *b;
- int i, k;
- Long x, y;
+ Bigint *b;
+ int i, k;
+ Long x, y;
- x = (nd + 8) / 9;
- for(k = 0, y = 1; x > y; y <<= 1, k++) ;
+ x = (nd + 8) / 9;
+ for(k = 0, y = 1; x > y; y <<= 1, k++) ;
#ifdef Pack_32
- b = Balloc(k);
- b->x[0] = y9;
- b->wds = 1;
-#else
- b = Balloc(k+1);
- b->x[0] = y9 & 0xffff;
- b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
-#endif
-
- i = 9;
- if (9 < nd0) {
- s += 9;
- do b = multadd(b, 10, *s++ - '0');
- while(++i < nd0);
- s++;
- }
- else
- s += 10;
- for(; i < nd; i++)
- b = multadd(b, 10, *s++ - '0');
- return b;
- }
-
- static int
+ b = Balloc(k);
+ b->x[0] = y9;
+ b->wds = 1;
+#else
+ b = Balloc(k+1);
+ b->x[0] = y9 & 0xffff;
+ b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
+#endif
+
+ i = 9;
+ if (9 < nd0) {
+ s += 9;
+ do {
+ b = multadd(b, 10, *s++ - '0');
+ }
+ while(++i < nd0);
+ s++;
+ }
+ else {
+ s += 10;
+ }
+ for(; i < nd; i++) {
+ b = multadd(b, 10, *s++ - '0');
+ }
+ return b;
+}
+
+static int
hi0bits
#ifdef KR_headers
- (x) register ULong x;
+(x) register ULong x;
#else
- (register ULong x)
+(register ULong x)
#endif
{
#ifdef PR_HAVE_BUILTIN_BITSCAN32
- return( (!x) ? 32 : pr_bitscan_clz32(x) );
-#else
- register int k = 0;
-
- if (!(x & 0xffff0000)) {
- k = 16;
- x <<= 16;
- }
- if (!(x & 0xff000000)) {
- k += 8;
- x <<= 8;
- }
- if (!(x & 0xf0000000)) {
- k += 4;
- x <<= 4;
- }
- if (!(x & 0xc0000000)) {
- k += 2;
- x <<= 2;
- }
- if (!(x & 0x80000000)) {
- k++;
- if (!(x & 0x40000000))
- return 32;
- }
- return k;
+ return( (!x) ? 32 : pr_bitscan_clz32(x) );
+#else
+ register int k = 0;
+
+ if (!(x & 0xffff0000)) {
+ k = 16;
+ x <<= 16;
+ }
+ if (!(x & 0xff000000)) {
+ k += 8;
+ x <<= 8;
+ }
+ if (!(x & 0xf0000000)) {
+ k += 4;
+ x <<= 4;
+ }
+ if (!(x & 0xc0000000)) {
+ k += 2;
+ x <<= 2;
+ }
+ if (!(x & 0x80000000)) {
+ k++;
+ if (!(x & 0x40000000)) {
+ return 32;
+ }
+ }
+ return k;
#endif /* PR_HAVE_BUILTIN_BITSCAN32 */
- }
+}
- static int
+static int
lo0bits
#ifdef KR_headers
- (y) ULong *y;
+(y) ULong *y;
#else
- (ULong *y)
+(ULong *y)
#endif
{
#ifdef PR_HAVE_BUILTIN_BITSCAN32
- int k;
- ULong x = *y;
-
- if (x>1)
- *y = ( x >> (k = pr_bitscan_ctz32(x)) );
- else
- k = ((x ^ 1) << 5);
-#else
- register int k;
- register ULong x = *y;
-
- if (x & 7) {
- if (x & 1)
- return 0;
- if (x & 2) {
- *y = x >> 1;
- return 1;
- }
- *y = x >> 2;
- return 2;
- }
- k = 0;
- if (!(x & 0xffff)) {
- k = 16;
- x >>= 16;
- }
- if (!(x & 0xff)) {
- k += 8;
- x >>= 8;
- }
- if (!(x & 0xf)) {
- k += 4;
- x >>= 4;
- }
- if (!(x & 0x3)) {
- k += 2;
- x >>= 2;
- }
- if (!(x & 1)) {
- k++;
- x >>= 1;
- if (!x)
- return 32;
- }
- *y = x;
+ int k;
+ ULong x = *y;
+
+ if (x>1) {
+ *y = ( x >> (k = pr_bitscan_ctz32(x)) );
+ }
+ else {
+ k = ((x ^ 1) << 5);
+ }
+#else
+ register int k;
+ register ULong x = *y;
+
+ if (x & 7) {
+ if (x & 1) {
+ return 0;
+ }
+ if (x & 2) {
+ *y = x >> 1;
+ return 1;
+ }
+ *y = x >> 2;
+ return 2;
+ }
+ k = 0;
+ if (!(x & 0xffff)) {
+ k = 16;
+ x >>= 16;
+ }
+ if (!(x & 0xff)) {
+ k += 8;
+ x >>= 8;
+ }
+ if (!(x & 0xf)) {
+ k += 4;
+ x >>= 4;
+ }
+ if (!(x & 0x3)) {
+ k += 2;
+ x >>= 2;
+ }
+ if (!(x & 1)) {
+ k++;
+ x >>= 1;
+ if (!x) {
+ return 32;
+ }
+ }
+ *y = x;
#endif /* PR_HAVE_BUILTIN_BITSCAN32 */
- return k;
- }
+ return k;
+}
- static Bigint *
+static Bigint *
i2b
#ifdef KR_headers
- (i) int i;
+(i) int i;
#else
- (int i)
+(int i)
#endif
{
- Bigint *b;
+ Bigint *b;
- b = Balloc(1);
- b->x[0] = i;
- b->wds = 1;
- return b;
- }
+ b = Balloc(1);
+ b->x[0] = i;
+ b->wds = 1;
+ return b;
+}
- static Bigint *
+static Bigint *
mult
#ifdef KR_headers
- (a, b) Bigint *a, *b;
+(a, b) Bigint *a, *b;
#else
- (Bigint *a, Bigint *b)
+(Bigint *a, Bigint *b)
#endif
{
- Bigint *c;
- int k, wa, wb, wc;
- ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
- ULong y;
+ Bigint *c;
+ int k, wa, wb, wc;
+ ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
+ ULong y;
#ifdef ULLong
- ULLong carry, z;
+ ULLong carry, z;
#else
- ULong carry, z;
+ ULong carry, z;
#ifdef Pack_32
- ULong z2;
-#endif
-#endif
-
- if (a->wds < b->wds) {
- c = a;
- a = b;
- b = c;
- }
- k = a->k;
- wa = a->wds;
- wb = b->wds;
- wc = wa + wb;
- if (wc > a->maxwds)
- k++;
- c = Balloc(k);
- for(x = c->x, xa = x + wc; x < xa; x++)
- *x = 0;
- xa = a->x;
- xae = xa + wa;
- xb = b->x;
- xbe = xb + wb;
- xc0 = c->x;
+ ULong z2;
+#endif
+#endif
+
+ if (a->wds < b->wds) {
+ c = a;
+ a = b;
+ b = c;
+ }
+ k = a->k;
+ wa = a->wds;
+ wb = b->wds;
+ wc = wa + wb;
+ if (wc > a->maxwds) {
+ k++;
+ }
+ c = Balloc(k);
+ for(x = c->x, xa = x + wc; x < xa; x++) {
+ *x = 0;
+ }
+ xa = a->x;
+ xae = xa + wa;
+ xb = b->x;
+ xbe = xb + wb;
+ xc0 = c->x;
#ifdef ULLong
- for(; xb < xbe; xc0++) {
- if (y = *xb++) {
- x = xa;
- xc = xc0;
- carry = 0;
- do {
- z = *x++ * (ULLong)y + *xc + carry;
- carry = z >> 32;
- *xc++ = z & FFFFFFFF;
- }
- while(x < xae);
- *xc = carry;
- }
- }
+ for(; xb < xbe; xc0++) {
+ if (y = *xb++) {
+ x = xa;
+ xc = xc0;
+ carry = 0;
+ do {
+ z = *x++ * (ULLong)y + *xc + carry;
+ carry = z >> 32;
+ *xc++ = z & FFFFFFFF;
+ }
+ while(x < xae);
+ *xc = carry;
+ }
+ }
#else
#ifdef Pack_32
- for(; xb < xbe; xb++, xc0++) {
- if (y = *xb & 0xffff) {
- x = xa;
- xc = xc0;
- carry = 0;
- do {
- z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
- carry = z >> 16;
- z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
- carry = z2 >> 16;
- Storeinc(xc, z2, z);
- }
- while(x < xae);
- *xc = carry;
- }
- if (y = *xb >> 16) {
- x = xa;
- xc = xc0;
- carry = 0;
- z2 = *xc;
- do {
- z = (*x & 0xffff) * y + (*xc >> 16) + carry;
- carry = z >> 16;
- Storeinc(xc, z, z2);
- z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
- carry = z2 >> 16;
- }
- while(x < xae);
- *xc = z2;
- }
- }
-#else
- for(; xb < xbe; xc0++) {
- if (y = *xb++) {
- x = xa;
- xc = xc0;
- carry = 0;
- do {
- z = *x++ * y + *xc + carry;
- carry = z >> 16;
- *xc++ = z & 0xffff;
- }
- while(x < xae);
- *xc = carry;
- }
- }
-#endif
-#endif
- for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
- c->wds = wc;
- return c;
- }
-
- static Bigint *p5s;
-
- static Bigint *
+ for(; xb < xbe; xb++, xc0++) {
+ if (y = *xb & 0xffff) {
+ x = xa;
+ xc = xc0;
+ carry = 0;
+ do {
+ z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
+ carry = z >> 16;
+ z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
+ carry = z2 >> 16;
+ Storeinc(xc, z2, z);
+ }
+ while(x < xae);
+ *xc = carry;
+ }
+ if (y = *xb >> 16) {
+ x = xa;
+ xc = xc0;
+ carry = 0;
+ z2 = *xc;
+ do {
+ z = (*x & 0xffff) * y + (*xc >> 16) + carry;
+ carry = z >> 16;
+ Storeinc(xc, z, z2);
+ z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
+ carry = z2 >> 16;
+ }
+ while(x < xae);
+ *xc = z2;
+ }
+ }
+#else
+ for(; xb < xbe; xc0++) {
+ if (y = *xb++) {
+ x = xa;
+ xc = xc0;
+ carry = 0;
+ do {
+ z = *x++ * y + *xc + carry;
+ carry = z >> 16;
+ *xc++ = z & 0xffff;
+ }
+ while(x < xae);
+ *xc = carry;
+ }
+ }
+#endif
+#endif
+ for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
+ c->wds = wc;
+ return c;
+}
+
+static Bigint *p5s;
+
+static Bigint *
pow5mult
#ifdef KR_headers
- (b, k) Bigint *b; int k;
+(b, k) Bigint *b; int k;
#else
- (Bigint *b, int k)
+(Bigint *b, int k)
#endif
{
- Bigint *b1, *p5, *p51;
- int i;
- static int p05[3] = { 5, 25, 125 };
+ Bigint *b1, *p5, *p51;
+ int i;
+ static int p05[3] = { 5, 25, 125 };
- if (i = k & 3)
- b = multadd(b, p05[i-1], 0);
+ if (i = k & 3) {
+ b = multadd(b, p05[i-1], 0);
+ }
- if (!(k >>= 2))
- return b;
- if (!(p5 = p5s)) {
- /* first time */
+ if (!(k >>= 2)) {
+ return b;
+ }
+ if (!(p5 = p5s)) {
+ /* first time */
#ifdef MULTIPLE_THREADS
- ACQUIRE_DTOA_LOCK(1);
- if (!(p5 = p5s)) {
- p5 = p5s = i2b(625);
- p5->next = 0;
- }
- FREE_DTOA_LOCK(1);
-#else
- p5 = p5s = i2b(625);
- p5->next = 0;
-#endif
- }
- for(;;) {
- if (k & 1) {
- b1 = mult(b, p5);
- Bfree(b);
- b = b1;
- }
- if (!(k >>= 1))
- break;
- if (!(p51 = p5->next)) {
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p5 = p5s)) {
+ p5 = p5s = i2b(625);
+ p5->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p5 = p5s = i2b(625);
+ p5->next = 0;
+#endif
+ }
+ for(;;) {
+ if (k & 1) {
+ b1 = mult(b, p5);
+ Bfree(b);
+ b = b1;
+ }
+ if (!(k >>= 1)) {
+ break;
+ }
+ if (!(p51 = p5->next)) {
#ifdef MULTIPLE_THREADS
- ACQUIRE_DTOA_LOCK(1);
- if (!(p51 = p5->next)) {
- p51 = p5->next = mult(p5,p5);
- p51->next = 0;
- }
- FREE_DTOA_LOCK(1);
-#else
- p51 = p5->next = mult(p5,p5);
- p51->next = 0;
-#endif
- }
- p5 = p51;
- }
- return b;
- }
-
- static Bigint *
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p51 = p5->next)) {
+ p51 = p5->next = mult(p5,p5);
+ p51->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p51 = p5->next = mult(p5,p5);
+ p51->next = 0;
+#endif
+ }
+ p5 = p51;
+ }
+ return b;
+}
+
+static Bigint *
lshift
#ifdef KR_headers
- (b, k) Bigint *b; int k;
+(b, k) Bigint *b; int k;
#else
- (Bigint *b, int k)
+(Bigint *b, int k)
#endif
{
- int i, k1, n, n1;
- Bigint *b1;
- ULong *x, *x1, *xe, z;
+ int i, k1, n, n1;
+ Bigint *b1;
+ ULong *x, *x1, *xe, z;
#ifdef Pack_32
- n = k >> 5;
-#else
- n = k >> 4;
-#endif
- k1 = b->k;
- n1 = n + b->wds + 1;
- for(i = b->maxwds; n1 > i; i <<= 1)
- k1++;
- b1 = Balloc(k1);
- x1 = b1->x;
- for(i = 0; i < n; i++)
- *x1++ = 0;
- x = b->x;
- xe = x + b->wds;
+ n = k >> 5;
+#else
+ n = k >> 4;
+#endif
+ k1 = b->k;
+ n1 = n + b->wds + 1;
+ for(i = b->maxwds; n1 > i; i <<= 1) {
+ k1++;
+ }
+ b1 = Balloc(k1);
+ x1 = b1->x;
+ for(i = 0; i < n; i++) {
+ *x1++ = 0;
+ }
+ x = b->x;
+ xe = x + b->wds;
#ifdef Pack_32
- if (k &= 0x1f) {
- k1 = 32 - k;
- z = 0;
- do {
- *x1++ = *x << k | z;
- z = *x++ >> k1;
- }
- while(x < xe);
- if (*x1 = z)
- ++n1;
- }
-#else
- if (k &= 0xf) {
- k1 = 16 - k;
- z = 0;
- do {
- *x1++ = *x << k & 0xffff | z;
- z = *x++ >> k1;
- }
- while(x < xe);
- if (*x1 = z)
- ++n1;
- }
-#endif
- else do
- *x1++ = *x++;
- while(x < xe);
- b1->wds = n1 - 1;
- Bfree(b);
- return b1;
- }
-
- static int
+ if (k &= 0x1f) {
+ k1 = 32 - k;
+ z = 0;
+ do {
+ *x1++ = *x << k | z;
+ z = *x++ >> k1;
+ }
+ while(x < xe);
+ if (*x1 = z) {
+ ++n1;
+ }
+ }
+#else
+ if (k &= 0xf) {
+ k1 = 16 - k;
+ z = 0;
+ do {
+ *x1++ = *x << k & 0xffff | z;
+ z = *x++ >> k1;
+ }
+ while(x < xe);
+ if (*x1 = z) {
+ ++n1;
+ }
+ }
+#endif
+ else do {
+ *x1++ = *x++;
+ }
+ while(x < xe);
+ b1->wds = n1 - 1;
+ Bfree(b);
+ return b1;
+}
+
+static int
cmp
#ifdef KR_headers
- (a, b) Bigint *a, *b;
+(a, b) Bigint *a, *b;
#else
- (Bigint *a, Bigint *b)
+(Bigint *a, Bigint *b)
#endif
{
- ULong *xa, *xa0, *xb, *xb0;
- int i, j;
+ ULong *xa, *xa0, *xb, *xb0;
+ int i, j;
- i = a->wds;
- j = b->wds;
+ i = a->wds;
+ j = b->wds;
#ifdef DEBUG
- if (i > 1 && !a->x[i-1])
- Bug("cmp called with a->x[a->wds-1] == 0");
- if (j > 1 && !b->x[j-1])
- Bug("cmp called with b->x[b->wds-1] == 0");
-#endif
- if (i -= j)
- return i;
- xa0 = a->x;
- xa = xa0 + j;
- xb0 = b->x;
- xb = xb0 + j;
- for(;;) {
- if (*--xa != *--xb)
- return *xa < *xb ? -1 : 1;
- if (xa <= xa0)
- break;
- }
- return 0;
- }
-
- static Bigint *
+ if (i > 1 && !a->x[i-1]) {
+ Bug("cmp called with a->x[a->wds-1] == 0");
+ }
+ if (j > 1 && !b->x[j-1]) {
+ Bug("cmp called with b->x[b->wds-1] == 0");
+ }
+#endif
+ if (i -= j) {
+ return i;
+ }
+ xa0 = a->x;
+ xa = xa0 + j;
+ xb0 = b->x;
+ xb = xb0 + j;
+ for(;;) {
+ if (*--xa != *--xb) {
+ return *xa < *xb ? -1 : 1;
+ }
+ if (xa <= xa0) {
+ break;
+ }
+ }
+ return 0;
+}
+
+static Bigint *
diff
#ifdef KR_headers
- (a, b) Bigint *a, *b;
+(a, b) Bigint *a, *b;
#else
- (Bigint *a, Bigint *b)
+(Bigint *a, Bigint *b)
#endif
{
- Bigint *c;
- int i, wa, wb;
- ULong *xa, *xae, *xb, *xbe, *xc;
+ Bigint *c;
+ int i, wa, wb;
+ ULong *xa, *xae, *xb, *xbe, *xc;
#ifdef ULLong
- ULLong borrow, y;
+ ULLong borrow, y;
#else
- ULong borrow, y;
+ ULong borrow, y;
#ifdef Pack_32
- ULong z;
-#endif
-#endif
-
- i = cmp(a,b);
- if (!i) {
- c = Balloc(0);
- c->wds = 1;
- c->x[0] = 0;
- return c;
- }
- if (i < 0) {
- c = a;
- a = b;
- b = c;
- i = 1;
- }
- else
- i = 0;
- c = Balloc(a->k);
- c->sign = i;
- wa = a->wds;
- xa = a->x;
- xae = xa + wa;
- wb = b->wds;
- xb = b->x;
- xbe = xb + wb;
- xc = c->x;
- borrow = 0;
+ ULong z;
+#endif
+#endif
+
+ i = cmp(a,b);
+ if (!i) {
+ c = Balloc(0);
+ c->wds = 1;
+ c->x[0] = 0;
+ return c;
+ }
+ if (i < 0) {
+ c = a;
+ a = b;
+ b = c;
+ i = 1;
+ }
+ else {
+ i = 0;
+ }
+ c = Balloc(a->k);
+ c->sign = i;
+ wa = a->wds;
+ xa = a->x;
+ xae = xa + wa;
+ wb = b->wds;
+ xb = b->x;
+ xbe = xb + wb;
+ xc = c->x;
+ borrow = 0;
#ifdef ULLong
- do {
- y = (ULLong)*xa++ - *xb++ - borrow;
- borrow = y >> 32 & (ULong)1;
- *xc++ = y & FFFFFFFF;
- }
- while(xb < xbe);
- while(xa < xae) {
- y = *xa++ - borrow;
- borrow = y >> 32 & (ULong)1;
- *xc++ = y & FFFFFFFF;
- }
+ do {
+ y = (ULLong)*xa++ - *xb++ - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *xc++ = y & FFFFFFFF;
+ }
+ while(xb < xbe);
+ while(xa < xae) {
+ y = *xa++ - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *xc++ = y & FFFFFFFF;
+ }
#else
#ifdef Pack_32
- do {
- y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
- borrow = (z & 0x10000) >> 16;
- Storeinc(xc, z, y);
- }
- while(xb < xbe);
- while(xa < xae) {
- y = (*xa & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- z = (*xa++ >> 16) - borrow;
- borrow = (z & 0x10000) >> 16;
- Storeinc(xc, z, y);
- }
-#else
- do {
- y = *xa++ - *xb++ - borrow;
- borrow = (y & 0x10000) >> 16;
- *xc++ = y & 0xffff;
- }
- while(xb < xbe);
- while(xa < xae) {
- y = *xa++ - borrow;
- borrow = (y & 0x10000) >> 16;
- *xc++ = y & 0xffff;
- }
-#endif
-#endif
- while(!*--xc)
- wa--;
- c->wds = wa;
- return c;
- }
-
- static double
+ do {
+ y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
+ borrow = (z & 0x10000) >> 16;
+ Storeinc(xc, z, y);
+ }
+ while(xb < xbe);
+ while(xa < xae) {
+ y = (*xa & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) - borrow;
+ borrow = (z & 0x10000) >> 16;
+ Storeinc(xc, z, y);
+ }
+#else
+ do {
+ y = *xa++ - *xb++ - borrow;
+ borrow = (y & 0x10000) >> 16;
+ *xc++ = y & 0xffff;
+ }
+ while(xb < xbe);
+ while(xa < xae) {
+ y = *xa++ - borrow;
+ borrow = (y & 0x10000) >> 16;
+ *xc++ = y & 0xffff;
+ }
+#endif
+#endif
+ while(!*--xc) {
+ wa--;
+ }
+ c->wds = wa;
+ return c;
+}
+
+static double
ulp
#ifdef KR_headers
- (dx) double dx;
+(dx) double dx;
#else
- (double dx)
+(double dx)
#endif
{
- register Long L;
- U x, a;
+ register Long L;
+ U x, a;
- dval(x) = dx;
- L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
+ dval(x) = dx;
+ L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
- if (L > 0) {
+ if (L > 0) {
#endif
#endif
#ifdef IBM
- L |= Exp_msk1 >> 4;
+ L |= Exp_msk1 >> 4;
#endif
- word0(a) = L;
- word1(a) = 0;
+ word0(a) = L;
+ word1(a) = 0;
#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
- }
- else {
- L = -L >> Exp_shift;
- if (L < Exp_shift) {
- word0(a) = 0x80000 >> L;
- word1(a) = 0;
- }
- else {
- word0(a) = 0;
- L -= Exp_shift;
- word1(a) = L >= 31 ? 1 : 1 << 31 - L;
- }
- }
-#endif
-#endif
- return dval(a);
- }
-
- static double
+ }
+ else {
+ L = -L >> Exp_shift;
+ if (L < Exp_shift) {
+ word0(a) = 0x80000 >> L;
+ word1(a) = 0;
+ }
+ else {
+ word0(a) = 0;
+ L -= Exp_shift;
+ word1(a) = L >= 31 ? 1 : 1 << 31 - L;
+ }
+ }
+#endif
+#endif
+ return dval(a);
+}
+
+static double
b2d
#ifdef KR_headers
- (a, e) Bigint *a; int *e;
+(a, e) Bigint *a; int *e;
#else
- (Bigint *a, int *e)
+(Bigint *a, int *e)
#endif
{
- ULong *xa, *xa0, w, y, z;
- int k;
- U d;
+ ULong *xa, *xa0, w, y, z;
+ int k;
+ U d;
#ifdef VAX
- ULong d0, d1;
+ ULong d0, d1;
#else
#define d0 word0(d)
#define d1 word1(d)
#endif
- xa0 = a->x;
- xa = xa0 + a->wds;
- y = *--xa;
+ xa0 = a->x;
+ xa = xa0 + a->wds;
+ y = *--xa;
#ifdef DEBUG
- if (!y) Bug("zero y in b2d");
+ if (!y) {
+ Bug("zero y in b2d");
+ }
#endif
- k = hi0bits(y);
- *e = 32 - k;
+ k = hi0bits(y);
+ *e = 32 - k;
#ifdef Pack_32
- if (k < Ebits) {
- d0 = Exp_1 | y >> Ebits - k;
- w = xa > xa0 ? *--xa : 0;
- d1 = y << (32-Ebits) + k | w >> Ebits - k;
- goto ret_d;
- }
- z = xa > xa0 ? *--xa : 0;
- if (k -= Ebits) {
- d0 = Exp_1 | y << k | z >> 32 - k;
- y = xa > xa0 ? *--xa : 0;
- d1 = z << k | y >> 32 - k;
- }
- else {
- d0 = Exp_1 | y;
- d1 = z;
- }
-#else
- if (k < Ebits + 16) {
- z = xa > xa0 ? *--xa : 0;
- d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
- w = xa > xa0 ? *--xa : 0;
- y = xa > xa0 ? *--xa : 0;
- d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
- goto ret_d;
- }
- z = xa > xa0 ? *--xa : 0;
- w = xa > xa0 ? *--xa : 0;
- k -= Ebits + 16;
- d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
- y = xa > xa0 ? *--xa : 0;
- d1 = w << k + 16 | y << k;
-#endif
- ret_d:
+ if (k < Ebits) {
+ d0 = Exp_1 | y >> Ebits - k;
+ w = xa > xa0 ? *--xa : 0;
+ d1 = y << (32-Ebits) + k | w >> Ebits - k;
+ goto ret_d;
+ }
+ z = xa > xa0 ? *--xa : 0;
+ if (k -= Ebits) {
+ d0 = Exp_1 | y << k | z >> 32 - k;
+ y = xa > xa0 ? *--xa : 0;
+ d1 = z << k | y >> 32 - k;
+ }
+ else {
+ d0 = Exp_1 | y;
+ d1 = z;
+ }
+#else
+ if (k < Ebits + 16) {
+ z = xa > xa0 ? *--xa : 0;
+ d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
+ w = xa > xa0 ? *--xa : 0;
+ y = xa > xa0 ? *--xa : 0;
+ d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
+ goto ret_d;
+ }
+ z = xa > xa0 ? *--xa : 0;
+ w = xa > xa0 ? *--xa : 0;
+ k -= Ebits + 16;
+ d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
+ y = xa > xa0 ? *--xa : 0;
+ d1 = w << k + 16 | y << k;
+#endif
+ret_d:
#ifdef VAX
- word0(d) = d0 >> 16 | d0 << 16;
- word1(d) = d1 >> 16 | d1 << 16;
+ word0(d) = d0 >> 16 | d0 << 16;
+ word1(d) = d1 >> 16 | d1 << 16;
#else
#undef d0
#undef d1
#endif
- return dval(d);
- }
+ return dval(d);
+}
- static Bigint *
+static Bigint *
d2b
#ifdef KR_headers
- (dd, e, bits) double dd; int *e, *bits;
+(dd, e, bits) double dd; int *e, *bits;
#else
- (double dd, int *e, int *bits)
+(double dd, int *e, int *bits)
#endif
{
- U d;
- Bigint *b;
- int de, k;
- ULong *x, y, z;
+ U d;
+ Bigint *b;
+ int de, k;
+ ULong *x, y, z;
#ifndef Sudden_Underflow
- int i;
+ int i;
#endif
#ifdef VAX
- ULong d0, d1;
+ ULong d0, d1;
#endif
- dval(d) = dd;
+ dval(d) = dd;
#ifdef VAX
- d0 = word0(d) >> 16 | word0(d) << 16;
- d1 = word1(d) >> 16 | word1(d) << 16;
+ d0 = word0(d) >> 16 | word0(d) << 16;
+ d1 = word1(d) >> 16 | word1(d) << 16;
#else
#define d0 word0(d)
#define d1 word1(d)
#endif
#ifdef Pack_32
- b = Balloc(1);
+ b = Balloc(1);
#else
- b = Balloc(2);
+ b = Balloc(2);
#endif
- x = b->x;
+ x = b->x;
- z = d0 & Frac_mask;
- d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
+ z = d0 & Frac_mask;
+ d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
#ifdef Sudden_Underflow
- de = (int)(d0 >> Exp_shift);
+ de = (int)(d0 >> Exp_shift);
#ifndef IBM
- z |= Exp_msk11;
+ z |= Exp_msk11;
#endif
#else
- if (de = (int)(d0 >> Exp_shift))
- z |= Exp_msk1;
+ if (de = (int)(d0 >> Exp_shift)) {
+ z |= Exp_msk1;
+ }
#endif
#ifdef Pack_32
- if (y = d1) {
- if (k = lo0bits(&y)) {
- x[0] = y | z << 32 - k;
- z >>= k;
- }
- else
- x[0] = y;
+ if (y = d1) {
+ if (k = lo0bits(&y)) {
+ x[0] = y | z << 32 - k;
+ z >>= k;
+ }
+ else {
+ x[0] = y;
+ }
#ifndef Sudden_Underflow
- i =
+ i =
#endif
- b->wds = (x[1] = z) ? 2 : 1;
- }
- else {
- k = lo0bits(&z);
- x[0] = z;
+ b->wds = (x[1] = z) ? 2 : 1;
+ }
+ else {
+ k = lo0bits(&z);
+ x[0] = z;
#ifndef Sudden_Underflow
- i =
-#endif
- b->wds = 1;
- k += 32;
- }
-#else
- if (y = d1) {
- if (k = lo0bits(&y))
- if (k >= 16) {
- x[0] = y | z << 32 - k & 0xffff;
- x[1] = z >> k - 16 & 0xffff;
- x[2] = z >> k;
- i = 2;
- }
- else {
- x[0] = y & 0xffff;
- x[1] = y >> 16 | z << 16 - k & 0xffff;
- x[2] = z >> k & 0xffff;
- x[3] = z >> k+16;
- i = 3;
- }
- else {
- x[0] = y & 0xffff;
- x[1] = y >> 16;
- x[2] = z & 0xffff;
- x[3] = z >> 16;
- i = 3;
- }
- }
- else {
+ i =
+#endif
+ b->wds = 1;
+ k += 32;
+ }
+#else
+ if (y = d1) {
+ if (k = lo0bits(&y))
+ if (k >= 16) {
+ x[0] = y | z << 32 - k & 0xffff;
+ x[1] = z >> k - 16 & 0xffff;
+ x[2] = z >> k;
+ i = 2;
+ }
+ else {
+ x[0] = y & 0xffff;
+ x[1] = y >> 16 | z << 16 - k & 0xffff;
+ x[2] = z >> k & 0xffff;
+ x[3] = z >> k+16;
+ i = 3;
+ }
+ else {
+ x[0] = y & 0xffff;
+ x[1] = y >> 16;
+ x[2] = z & 0xffff;
+ x[3] = z >> 16;
+ i = 3;
+ }
+ }
+ else {
#ifdef DEBUG
- if (!z)
- Bug("Zero passed to d2b");
-#endif
- k = lo0bits(&z);
- if (k >= 16) {
- x[0] = z;
- i = 0;
- }
- else {
- x[0] = z & 0xffff;
- x[1] = z >> 16;
- i = 1;
- }
- k += 32;
- }
- while(!x[i])
- --i;
- b->wds = i + 1;
+ if (!z) {
+ Bug("Zero passed to d2b");
+ }
+#endif
+ k = lo0bits(&z);
+ if (k >= 16) {
+ x[0] = z;
+ i = 0;
+ }
+ else {
+ x[0] = z & 0xffff;
+ x[1] = z >> 16;
+ i = 1;
+ }
+ k += 32;
+ }
+ while(!x[i]) {
+ --i;
+ }
+ b->wds = i + 1;
#endif
#ifndef Sudden_Underflow
- if (de) {
+ if (de) {
#endif
#ifdef IBM
- *e = (de - Bias - (P-1) << 2) + k;
- *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask);
+ *e = (de - Bias - (P-1) << 2) + k;
+ *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask);
#else
- *e = de - Bias - (P-1) + k;
- *bits = P - k;
+ *e = de - Bias - (P-1) + k;
+ *bits = P - k;
#endif
#ifndef Sudden_Underflow
- }
- else {
- *e = de - Bias - (P-1) + 1 + k;
+ }
+ else {
+ *e = de - Bias - (P-1) + 1 + k;
#ifdef Pack_32
- *bits = 32*i - hi0bits(x[i-1]);
+ *bits = 32*i - hi0bits(x[i-1]);
#else
- *bits = (i+2)*16 - hi0bits(x[i]);
+ *bits = (i+2)*16 - hi0bits(x[i]);
#endif
- }
+ }
#endif
- return b;
- }
+ return b;
+}
#undef d0
#undef d1
- static double
+static double
ratio
#ifdef KR_headers
- (a, b) Bigint *a, *b;
+(a, b) Bigint *a, *b;
#else
- (Bigint *a, Bigint *b)
+(Bigint *a, Bigint *b)
#endif
{
- U da, db;
- int k, ka, kb;
+ U da, db;
+ int k, ka, kb;
- dval(da) = b2d(a, &ka);
- dval(db) = b2d(b, &kb);
+ dval(da) = b2d(a, &ka);
+ dval(db) = b2d(b, &kb);
#ifdef Pack_32
- k = ka - kb + 32*(a->wds - b->wds);
+ k = ka - kb + 32*(a->wds - b->wds);
#else
- k = ka - kb + 16*(a->wds - b->wds);
+ k = ka - kb + 16*(a->wds - b->wds);
#endif
#ifdef IBM
- if (k > 0) {
- word0(da) += (k >> 2)*Exp_msk1;
- if (k &= 3)
- dval(da) *= 1 << k;
- }
- else {
- k = -k;
- word0(db) += (k >> 2)*Exp_msk1;
- if (k &= 3)
- dval(db) *= 1 << k;
- }
-#else
- if (k > 0)
- word0(da) += k*Exp_msk1;
- else {
- k = -k;
- word0(db) += k*Exp_msk1;
- }
-#endif
- return dval(da) / dval(db);
- }
-
- static CONST double
+ if (k > 0) {
+ word0(da) += (k >> 2)*Exp_msk1;
+ if (k &= 3) {
+ dval(da) *= 1 << k;
+ }
+ }
+ else {
+ k = -k;
+ word0(db) += (k >> 2)*Exp_msk1;
+ if (k &= 3) {
+ dval(db) *= 1 << k;
+ }
+ }
+#else
+ if (k > 0) {
+ word0(da) += k*Exp_msk1;
+ }
+ else {
+ k = -k;
+ word0(db) += k*Exp_msk1;
+ }
+#endif
+ return dval(da) / dval(db);
+}
+
+static CONST double
tens[] = {
- 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
- 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
- 1e20, 1e21, 1e22
+ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
+ 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
+ 1e20, 1e21, 1e22
#ifdef VAX
- , 1e23, 1e24
+ , 1e23, 1e24
#endif
- };
+};
- static CONST double
+static CONST double
#ifdef IEEE_Arith
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
#ifdef Avoid_Underflow
- 9007199254740992.*9007199254740992.e-256
- /* = 2^106 * 1e-53 */
+ 9007199254740992.*9007199254740992.e-256
+ /* = 2^106 * 1e-53 */
#else
- 1e-256
+ 1e-256
#endif
- };
+ };
/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
#define Scale_Bit 0x10
@@ -1518,1139 +1558,1243 @@ static CONST double tinytens[] = { 1e-16, 1e-32 };
#define NAN_WORD1 0
#endif
- static int
+static int
match
#ifdef KR_headers
- (sp, t) char **sp, *t;
+(sp, t) char **sp, *t;
#else
- (CONST char **sp, char *t)
+(CONST char **sp, char *t)
#endif
{
- int c, d;
- CONST char *s = *sp;
-
- while(d = *t++) {
- if ((c = *++s) >= 'A' && c <= 'Z')
- c += 'a' - 'A';
- if (c != d)
- return 0;
- }
- *sp = s + 1;
- return 1;
- }
+ int c, d;
+ CONST char *s = *sp;
+
+ while(d = *t++) {
+ if ((c = *++s) >= 'A' && c <= 'Z') {
+ c += 'a' - 'A';
+ }
+ if (c != d) {
+ return 0;
+ }
+ }
+ *sp = s + 1;
+ return 1;
+}
#ifndef No_Hex_NaN
- static void
+static void
hexnan
#ifdef KR_headers
- (rvp, sp) double *rvp; CONST char **sp;
+(rvp, sp) double *rvp; CONST char **sp;
#else
- (double *rvp, CONST char **sp)
+(double *rvp, CONST char **sp)
#endif
{
- ULong c, x[2];
- CONST char *s;
- int havedig, udx0, xshift;
-
- x[0] = x[1] = 0;
- havedig = xshift = 0;
- udx0 = 1;
- s = *sp;
- while(c = *(CONST unsigned char*)++s) {
- if (c >= '0' && c <= '9')
- c -= '0';
- else if (c >= 'a' && c <= 'f')
- c += 10 - 'a';
- else if (c >= 'A' && c <= 'F')
- c += 10 - 'A';
- else if (c <= ' ') {
- if (udx0 && havedig) {
- udx0 = 0;
- xshift = 1;
- }
- continue;
- }
- else if (/*(*/ c == ')' && havedig) {
- *sp = s + 1;
- break;
- }
- else
- return; /* invalid form: don't change *sp */
- havedig = 1;
- if (xshift) {
- xshift = 0;
- x[0] = x[1];
- x[1] = 0;
- }
- if (udx0)
- x[0] = (x[0] << 4) | (x[1] >> 28);
- x[1] = (x[1] << 4) | c;
- }
- if ((x[0] &= 0xfffff) || x[1]) {
- word0(*rvp) = Exp_mask | x[0];
- word1(*rvp) = x[1];
- }
- }
+ ULong c, x[2];
+ CONST char *s;
+ int havedig, udx0, xshift;
+
+ x[0] = x[1] = 0;
+ havedig = xshift = 0;
+ udx0 = 1;
+ s = *sp;
+ while(c = *(CONST unsigned char*)++s) {
+ if (c >= '0' && c <= '9') {
+ c -= '0';
+ }
+ else if (c >= 'a' && c <= 'f') {
+ c += 10 - 'a';
+ }
+ else if (c >= 'A' && c <= 'F') {
+ c += 10 - 'A';
+ }
+ else if (c <= ' ') {
+ if (udx0 && havedig) {
+ udx0 = 0;
+ xshift = 1;
+ }
+ continue;
+ }
+ else if (/*(*/ c == ')' && havedig) {
+ *sp = s + 1;
+ break;
+ }
+ else {
+ return; /* invalid form: don't change *sp */
+ }
+ havedig = 1;
+ if (xshift) {
+ xshift = 0;
+ x[0] = x[1];
+ x[1] = 0;
+ }
+ if (udx0) {
+ x[0] = (x[0] << 4) | (x[1] >> 28);
+ }
+ x[1] = (x[1] << 4) | c;
+ }
+ if ((x[0] &= 0xfffff) || x[1]) {
+ word0(*rvp) = Exp_mask | x[0];
+ word1(*rvp) = x[1];
+ }
+}
#endif /*No_Hex_NaN*/
#endif /* INFNAN_CHECK */
- PR_IMPLEMENT(double)
+PR_IMPLEMENT(double)
PR_strtod
#ifdef KR_headers
- (s00, se) CONST char *s00; char **se;
+(s00, se) CONST char *s00; char **se;
#else
- (CONST char *s00, char **se)
+(CONST char *s00, char **se)
#endif
{
#ifdef Avoid_Underflow
- int scale;
-#endif
- int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
- e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
- CONST char *s, *s0, *s1;
- double aadj, aadj1, adj;
- U aadj2, rv, rv0;
- Long L;
- ULong y, z;
- Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+ int scale;
+#endif
+ int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
+ e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
+ CONST char *s, *s0, *s1;
+ double aadj, aadj1, adj;
+ U aadj2, rv, rv0;
+ Long L;
+ ULong y, z;
+ Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
#ifdef SET_INEXACT
- int inexact, oldinexact;
+ int inexact, oldinexact;
#endif
#ifdef Honor_FLT_ROUNDS
- int rounding;
+ int rounding;
#endif
#ifdef USE_LOCALE
- CONST char *s2;
-#endif
-
- if (!_pr_initialized) _PR_ImplicitInitialization();
-
- sign = nz0 = nz = 0;
- dval(rv) = 0.;
- for(s = s00;;s++) switch(*s) {
- case '-':
- sign = 1;
- /* no break */
- case '+':
- if (*++s)
- goto break2;
- /* no break */
- case 0:
- goto ret0;
- case '\t':
- case '\n':
- case '\v':
- case '\f':
- case '\r':
- case ' ':
- continue;
- default:
- goto break2;
- }
- break2:
- if (*s == '0') {
- nz0 = 1;
- while(*++s == '0') ;
- if (!*s)
- goto ret;
- }
- s0 = s;
- y = z = 0;
- for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
- if (nd < 9)
- y = 10*y + c - '0';
- else if (nd < 16)
- z = 10*z + c - '0';
- nd0 = nd;
+ CONST char *s2;
+#endif
+
+ if (!_pr_initialized) {
+ _PR_ImplicitInitialization();
+ }
+
+ sign = nz0 = nz = 0;
+ dval(rv) = 0.;
+ for(s = s00;; s++) switch(*s) {
+ case '-':
+ sign = 1;
+ /* no break */
+ case '+':
+ if (*++s) {
+ goto break2;
+ }
+ /* no break */
+ case 0:
+ goto ret0;
+ case '\t':
+ case '\n':
+ case '\v':
+ case '\f':
+ case '\r':
+ case ' ':
+ continue;
+ default:
+ goto break2;
+ }
+break2:
+ if (*s == '0') {
+ nz0 = 1;
+ while(*++s == '0') ;
+ if (!*s) {
+ goto ret;
+ }
+ }
+ s0 = s;
+ y = z = 0;
+ for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 9) {
+ y = 10*y + c - '0';
+ }
+ else if (nd < 16) {
+ z = 10*z + c - '0';
+ }
+ nd0 = nd;
#ifdef USE_LOCALE
- s1 = localeconv()->decimal_point;
- if (c == *s1) {
- c = '.';
- if (*++s1) {
- s2 = s;
- for(;;) {
- if (*++s2 != *s1) {
- c = 0;
- break;
- }
- if (!*++s1) {
- s = s2;
- break;
- }
- }
- }
- }
-#endif
- if (c == '.') {
- c = *++s;
- if (!nd) {
- for(; c == '0'; c = *++s)
- nz++;
- if (c > '0' && c <= '9') {
- s0 = s;
- nf += nz;
- nz = 0;
- goto have_dig;
- }
- goto dig_done;
- }
- for(; c >= '0' && c <= '9'; c = *++s) {
- have_dig:
- nz++;
- if (c -= '0') {
- nf += nz;
- for(i = 1; i < nz; i++)
- if (nd++ < 9)
- y *= 10;
- else if (nd <= DBL_DIG + 1)
- z *= 10;
- if (nd++ < 9)
- y = 10*y + c;
- else if (nd <= DBL_DIG + 1)
- z = 10*z + c;
- nz = 0;
- }
- }
- }
- dig_done:
- if (nd > 64 * 1024)
- goto ret0;
- e = 0;
- if (c == 'e' || c == 'E') {
- if (!nd && !nz && !nz0) {
- goto ret0;
- }
- s00 = s;
- esign = 0;
- switch(c = *++s) {
- case '-':
- esign = 1;
- case '+':
- c = *++s;
- }
- if (c >= '0' && c <= '9') {
- while(c == '0')
- c = *++s;
- if (c > '0' && c <= '9') {
- L = c - '0';
- s1 = s;
- while((c = *++s) >= '0' && c <= '9')
- L = 10*L + c - '0';
- if (s - s1 > 8 || L > 19999)
- /* Avoid confusion from exponents
- * so large that e might overflow.
- */
- e = 19999; /* safe for 16 bit ints */
- else
- e = (int)L;
- if (esign)
- e = -e;
- }
- else
- e = 0;
- }
- else
- s = s00;
- }
- if (!nd) {
- if (!nz && !nz0) {
+ s1 = localeconv()->decimal_point;
+ if (c == *s1) {
+ c = '.';
+ if (*++s1) {
+ s2 = s;
+ for(;;) {
+ if (*++s2 != *s1) {
+ c = 0;
+ break;
+ }
+ if (!*++s1) {
+ s = s2;
+ break;
+ }
+ }
+ }
+ }
+#endif
+ if (c == '.') {
+ c = *++s;
+ if (!nd) {
+ for(; c == '0'; c = *++s) {
+ nz++;
+ }
+ if (c > '0' && c <= '9') {
+ s0 = s;
+ nf += nz;
+ nz = 0;
+ goto have_dig;
+ }
+ goto dig_done;
+ }
+ for(; c >= '0' && c <= '9'; c = *++s) {
+have_dig:
+ nz++;
+ if (c -= '0') {
+ nf += nz;
+ for(i = 1; i < nz; i++)
+ if (nd++ < 9) {
+ y *= 10;
+ }
+ else if (nd <= DBL_DIG + 1) {
+ z *= 10;
+ }
+ if (nd++ < 9) {
+ y = 10*y + c;
+ }
+ else if (nd <= DBL_DIG + 1) {
+ z = 10*z + c;
+ }
+ nz = 0;
+ }
+ }
+ }
+dig_done:
+ if (nd > 64 * 1024) {
+ goto ret0;
+ }
+ e = 0;
+ if (c == 'e' || c == 'E') {
+ if (!nd && !nz && !nz0) {
+ goto ret0;
+ }
+ s00 = s;
+ esign = 0;
+ switch(c = *++s) {
+ case '-':
+ esign = 1;
+ case '+':
+ c = *++s;
+ }
+ if (c >= '0' && c <= '9') {
+ while(c == '0') {
+ c = *++s;
+ }
+ if (c > '0' && c <= '9') {
+ L = c - '0';
+ s1 = s;
+ while((c = *++s) >= '0' && c <= '9') {
+ L = 10*L + c - '0';
+ }
+ if (s - s1 > 8 || L > 19999)
+ /* Avoid confusion from exponents
+ * so large that e might overflow.
+ */
+ {
+ e = 19999; /* safe for 16 bit ints */
+ }
+ else {
+ e = (int)L;
+ }
+ if (esign) {
+ e = -e;
+ }
+ }
+ else {
+ e = 0;
+ }
+ }
+ else {
+ s = s00;
+ }
+ }
+ if (!nd) {
+ if (!nz && !nz0) {
#ifdef INFNAN_CHECK
- /* Check for Nan and Infinity */
- switch(c) {
- case 'i':
- case 'I':
- if (match(&s,"nf")) {
- --s;
- if (!match(&s,"inity"))
- ++s;
- word0(rv) = 0x7ff00000;
- word1(rv) = 0;
- goto ret;
- }
- break;
- case 'n':
- case 'N':
- if (match(&s, "an")) {
- word0(rv) = NAN_WORD0;
- word1(rv) = NAN_WORD1;
+ /* Check for Nan and Infinity */
+ switch(c) {
+ case 'i':
+ case 'I':
+ if (match(&s,"nf")) {
+ --s;
+ if (!match(&s,"inity")) {
+ ++s;
+ }
+ word0(rv) = 0x7ff00000;
+ word1(rv) = 0;
+ goto ret;
+ }
+ break;
+ case 'n':
+ case 'N':
+ if (match(&s, "an")) {
+ word0(rv) = NAN_WORD0;
+ word1(rv) = NAN_WORD1;
#ifndef No_Hex_NaN
- if (*s == '(') /*)*/
- hexnan(&rv, &s);
+ if (*s == '(') { /*)*/
+ hexnan(&rv, &s);
+ }
#endif
- goto ret;
- }
- }
+ goto ret;
+ }
+ }
#endif /* INFNAN_CHECK */
- ret0:
- s = s00;
- sign = 0;
- }
- goto ret;
- }
- e1 = e -= nf;
-
- /* Now we have nd0 digits, starting at s0, followed by a
- * decimal point, followed by nd-nd0 digits. The number we're
- * after is the integer represented by those digits times
- * 10**e */
-
- if (!nd0)
- nd0 = nd;
- k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
- dval(rv) = y;
- if (k > 9) {
+ret0:
+ s = s00;
+ sign = 0;
+ }
+ goto ret;
+ }
+ e1 = e -= nf;
+
+ /* Now we have nd0 digits, starting at s0, followed by a
+ * decimal point, followed by nd-nd0 digits. The number we're
+ * after is the integer represented by those digits times
+ * 10**e */
+
+ if (!nd0) {
+ nd0 = nd;
+ }
+ k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
+ dval(rv) = y;
+ if (k > 9) {
#ifdef SET_INEXACT
- if (k > DBL_DIG)
- oldinexact = get_inexact();
+ if (k > DBL_DIG) {
+ oldinexact = get_inexact();
+ }
#endif
- dval(rv) = tens[k - 9] * dval(rv) + z;
- }
- bd0 = 0;
- if (nd <= DBL_DIG
+ dval(rv) = tens[k - 9] * dval(rv) + z;
+ }
+ bd0 = 0;
+ if (nd <= DBL_DIG
#ifndef RND_PRODQUOT
#ifndef Honor_FLT_ROUNDS
- && Flt_Rounds == 1
+ && Flt_Rounds == 1
#endif
#endif
- ) {
- if (!e)
- goto ret;
- if (e > 0) {
- if (e <= Ten_pmax) {
+ ) {
+ if (!e) {
+ goto ret;
+ }
+ if (e > 0) {
+ if (e <= Ten_pmax) {
#ifdef VAX
- goto vax_ovfl_check;
+ goto vax_ovfl_check;
#else
#ifdef Honor_FLT_ROUNDS
- /* round correctly FLT_ROUNDS = 2 or 3 */
- if (sign) {
- rv = -rv;
- sign = 0;
- }
-#endif
- /* rv = */ rounded_product(dval(rv), tens[e]);
- goto ret;
-#endif
- }
- i = DBL_DIG - nd;
- if (e <= Ten_pmax + i) {
- /* A fancier test would sometimes let us do
- * this for larger i values.
- */
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
+#endif
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ goto ret;
+#endif
+ }
+ i = DBL_DIG - nd;
+ if (e <= Ten_pmax + i) {
+ /* A fancier test would sometimes let us do
+ * this for larger i values.
+ */
#ifdef Honor_FLT_ROUNDS
- /* round correctly FLT_ROUNDS = 2 or 3 */
- if (sign) {
- rv = -rv;
- sign = 0;
- }
-#endif
- e -= i;
- dval(rv) *= tens[i];
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
+#endif
+ e -= i;
+ dval(rv) *= tens[i];
#ifdef VAX
- /* VAX exponent range is so narrow we must
- * worry about overflow here...
- */
- vax_ovfl_check:
- word0(rv) -= P*Exp_msk1;
- /* rv = */ rounded_product(dval(rv), tens[e]);
- if ((word0(rv) & Exp_mask)
- > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
- goto ovfl;
- word0(rv) += P*Exp_msk1;
-#else
- /* rv = */ rounded_product(dval(rv), tens[e]);
-#endif
- goto ret;
- }
- }
+ /* VAX exponent range is so narrow we must
+ * worry about overflow here...
+ */
+vax_ovfl_check:
+ word0(rv) -= P*Exp_msk1;
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+ if ((word0(rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
+ goto ovfl;
+ }
+ word0(rv) += P*Exp_msk1;
+#else
+ /* rv = */ rounded_product(dval(rv), tens[e]);
+#endif
+ goto ret;
+ }
+ }
#ifndef Inaccurate_Divide
- else if (e >= -Ten_pmax) {
+ else if (e >= -Ten_pmax) {
#ifdef Honor_FLT_ROUNDS
- /* round correctly FLT_ROUNDS = 2 or 3 */
- if (sign) {
- rv = -rv;
- sign = 0;
- }
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ sign = 0;
+ }
#endif
- /* rv = */ rounded_quotient(dval(rv), tens[-e]);
- goto ret;
- }
+ /* rv = */ rounded_quotient(dval(rv), tens[-e]);
+ goto ret;
+ }
#endif
- }
- e1 += nd - k;
+ }
+ e1 += nd - k;
#ifdef IEEE_Arith
#ifdef SET_INEXACT
- inexact = 1;
- if (k <= DBL_DIG)
- oldinexact = get_inexact();
+ inexact = 1;
+ if (k <= DBL_DIG) {
+ oldinexact = get_inexact();
+ }
#endif
#ifdef Avoid_Underflow
- scale = 0;
+ scale = 0;
#endif
#ifdef Honor_FLT_ROUNDS
- if ((rounding = Flt_Rounds) >= 2) {
- if (sign)
- rounding = rounding == 2 ? 0 : 2;
- else
- if (rounding != 2)
- rounding = 0;
- }
+ if ((rounding = Flt_Rounds) >= 2) {
+ if (sign) {
+ rounding = rounding == 2 ? 0 : 2;
+ }
+ else if (rounding != 2) {
+ rounding = 0;
+ }
+ }
#endif
#endif /*IEEE_Arith*/
- /* Get starting approximation = rv * 10**e1 */
+ /* Get starting approximation = rv * 10**e1 */
- if (e1 > 0) {
- if (i = e1 & 15)
- dval(rv) *= tens[i];
- if (e1 &= ~15) {
- if (e1 > DBL_MAX_10_EXP) {
- ovfl:
+ if (e1 > 0) {
+ if (i = e1 & 15) {
+ dval(rv) *= tens[i];
+ }
+ if (e1 &= ~15) {
+ if (e1 > DBL_MAX_10_EXP) {
+ovfl:
#ifndef NO_ERRNO
- PR_SetError(PR_RANGE_ERROR, 0);
+ PR_SetError(PR_RANGE_ERROR, 0);
#endif
- /* Can't trust HUGE_VAL */
+ /* Can't trust HUGE_VAL */
#ifdef IEEE_Arith
#ifdef Honor_FLT_ROUNDS
- switch(rounding) {
- case 0: /* toward 0 */
- case 3: /* toward -infinity */
- word0(rv) = Big0;
- word1(rv) = Big1;
- break;
- default:
- word0(rv) = Exp_mask;
- word1(rv) = 0;
- }
+ switch(rounding) {
+ case 0: /* toward 0 */
+ case 3: /* toward -infinity */
+ word0(rv) = Big0;
+ word1(rv) = Big1;
+ break;
+ default:
+ word0(rv) = Exp_mask;
+ word1(rv) = 0;
+ }
#else /*Honor_FLT_ROUNDS*/
- word0(rv) = Exp_mask;
- word1(rv) = 0;
+ word0(rv) = Exp_mask;
+ word1(rv) = 0;
#endif /*Honor_FLT_ROUNDS*/
#ifdef SET_INEXACT
- /* set overflow bit */
- dval(rv0) = 1e300;
- dval(rv0) *= dval(rv0);
+ /* set overflow bit */
+ dval(rv0) = 1e300;
+ dval(rv0) *= dval(rv0);
#endif
#else /*IEEE_Arith*/
- word0(rv) = Big0;
- word1(rv) = Big1;
+ word0(rv) = Big0;
+ word1(rv) = Big1;
#endif /*IEEE_Arith*/
- if (bd0)
- goto retfree;
- goto ret;
- }
- e1 >>= 4;
- for(j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- dval(rv) *= bigtens[j];
- /* The last multiplication could overflow. */
- word0(rv) -= P*Exp_msk1;
- dval(rv) *= bigtens[j];
- if ((z = word0(rv) & Exp_mask)
- > Exp_msk1*(DBL_MAX_EXP+Bias-P))
- goto ovfl;
- if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
- /* set to largest number */
- /* (Can't trust DBL_MAX) */
- word0(rv) = Big0;
- word1(rv) = Big1;
- }
- else
- word0(rv) += P*Exp_msk1;
- }
- }
- else if (e1 < 0) {
- e1 = -e1;
- if (i = e1 & 15)
- dval(rv) /= tens[i];
- if (e1 >>= 4) {
- if (e1 >= 1 << n_bigtens)
- goto undfl;
+ if (bd0) {
+ goto retfree;
+ }
+ goto ret;
+ }
+ e1 >>= 4;
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1) {
+ dval(rv) *= bigtens[j];
+ }
+ /* The last multiplication could overflow. */
+ word0(rv) -= P*Exp_msk1;
+ dval(rv) *= bigtens[j];
+ if ((z = word0(rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
+ goto ovfl;
+ }
+ if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
+ /* set to largest number */
+ /* (Can't trust DBL_MAX) */
+ word0(rv) = Big0;
+ word1(rv) = Big1;
+ }
+ else {
+ word0(rv) += P*Exp_msk1;
+ }
+ }
+ }
+ else if (e1 < 0) {
+ e1 = -e1;
+ if (i = e1 & 15) {
+ dval(rv) /= tens[i];
+ }
+ if (e1 >>= 4) {
+ if (e1 >= 1 << n_bigtens) {
+ goto undfl;
+ }
#ifdef Avoid_Underflow
- if (e1 & Scale_Bit)
- scale = 2*P;
- for(j = 0; e1 > 0; j++, e1 >>= 1)
- if (e1 & 1)
- dval(rv) *= tinytens[j];
- if (scale && (j = 2*P + 1 - ((word0(rv) & Exp_mask)
- >> Exp_shift)) > 0) {
- /* scaled rv is denormal; zap j low bits */
- if (j >= 32) {
- word1(rv) = 0;
- if (j >= 53)
- word0(rv) = (P+2)*Exp_msk1;
- else
- word0(rv) &= 0xffffffff << j-32;
- }
- else
- word1(rv) &= 0xffffffff << j;
- }
-#else
- for(j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- dval(rv) *= tinytens[j];
- /* The last multiplication could underflow. */
- dval(rv0) = dval(rv);
- dval(rv) *= tinytens[j];
- if (!dval(rv)) {
- dval(rv) = 2.*dval(rv0);
- dval(rv) *= tinytens[j];
-#endif
- if (!dval(rv)) {
- undfl:
- dval(rv) = 0.;
+ if (e1 & Scale_Bit) {
+ scale = 2*P;
+ }
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1) {
+ dval(rv) *= tinytens[j];
+ }
+ if (scale && (j = 2*P + 1 - ((word0(rv) & Exp_mask)
+ >> Exp_shift)) > 0) {
+ /* scaled rv is denormal; zap j low bits */
+ if (j >= 32) {
+ word1(rv) = 0;
+ if (j >= 53) {
+ word0(rv) = (P+2)*Exp_msk1;
+ }
+ else {
+ word0(rv) &= 0xffffffff << j-32;
+ }
+ }
+ else {
+ word1(rv) &= 0xffffffff << j;
+ }
+ }
+#else
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1) {
+ dval(rv) *= tinytens[j];
+ }
+ /* The last multiplication could underflow. */
+ dval(rv0) = dval(rv);
+ dval(rv) *= tinytens[j];
+ if (!dval(rv)) {
+ dval(rv) = 2.*dval(rv0);
+ dval(rv) *= tinytens[j];
+#endif
+ if (!dval(rv)) {
+undfl:
+ dval(rv) = 0.;
#ifndef NO_ERRNO
- PR_SetError(PR_RANGE_ERROR, 0);
+ PR_SetError(PR_RANGE_ERROR, 0);
#endif
- if (bd0)
- goto retfree;
- goto ret;
- }
+ if (bd0) {
+ goto retfree;
+ }
+ goto ret;
+ }
#ifndef Avoid_Underflow
- word0(rv) = Tiny0;
- word1(rv) = Tiny1;
- /* The refinement below will clean
- * this approximation up.
- */
- }
-#endif
- }
- }
-
- /* Now the hard part -- adjusting rv to the correct value.*/
-
- /* Put digits into bd: true value = bd * 10^e */
-
- bd0 = s2b(s0, nd0, nd, y);
-
- for(;;) {
- bd = Balloc(bd0->k);
- Bcopy(bd, bd0);
- bb = d2b(dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
- bs = i2b(1);
-
- if (e >= 0) {
- bb2 = bb5 = 0;
- bd2 = bd5 = e;
- }
- else {
- bb2 = bb5 = -e;
- bd2 = bd5 = 0;
- }
- if (bbe >= 0)
- bb2 += bbe;
- else
- bd2 -= bbe;
- bs2 = bb2;
+ word0(rv) = Tiny0;
+ word1(rv) = Tiny1;
+ /* The refinement below will clean
+ * this approximation up.
+ */
+ }
+#endif
+ }
+}
+
+/* Now the hard part -- adjusting rv to the correct value.*/
+
+/* Put digits into bd: true value = bd * 10^e */
+
+bd0 = s2b(s0, nd0, nd, y);
+
+for(;;) {
+ bd = Balloc(bd0->k);
+ Bcopy(bd, bd0);
+ bb = d2b(dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
+ bs = i2b(1);
+
+ if (e >= 0) {
+ bb2 = bb5 = 0;
+ bd2 = bd5 = e;
+ }
+ else {
+ bb2 = bb5 = -e;
+ bd2 = bd5 = 0;
+ }
+ if (bbe >= 0) {
+ bb2 += bbe;
+ }
+ else {
+ bd2 -= bbe;
+ }
+ bs2 = bb2;
#ifdef Honor_FLT_ROUNDS
- if (rounding != 1)
- bs2++;
+ if (rounding != 1) {
+ bs2++;
+ }
#endif
#ifdef Avoid_Underflow
- j = bbe - scale;
- i = j + bbbits - 1; /* logb(rv) */
- if (i < Emin) /* denormal */
- j += P - Emin;
- else
- j = P + 1 - bbbits;
+ j = bbe - scale;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) { /* denormal */
+ j += P - Emin;
+ }
+ else {
+ j = P + 1 - bbbits;
+ }
#else /*Avoid_Underflow*/
#ifdef Sudden_Underflow
#ifdef IBM
- j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
+ j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
#else
- j = P + 1 - bbbits;
+ j = P + 1 - bbbits;
#endif
#else /*Sudden_Underflow*/
- j = bbe;
- i = j + bbbits - 1; /* logb(rv) */
- if (i < Emin) /* denormal */
- j += P - Emin;
- else
- j = P + 1 - bbbits;
+ j = bbe;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) { /* denormal */
+ j += P - Emin;
+ }
+ else {
+ j = P + 1 - bbbits;
+ }
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
- bb2 += j;
- bd2 += j;
+ bb2 += j;
+ bd2 += j;
#ifdef Avoid_Underflow
- bd2 += scale;
-#endif
- i = bb2 < bd2 ? bb2 : bd2;
- if (i > bs2)
- i = bs2;
- if (i > 0) {
- bb2 -= i;
- bd2 -= i;
- bs2 -= i;
- }
- if (bb5 > 0) {
- bs = pow5mult(bs, bb5);
- bb1 = mult(bs, bb);
- Bfree(bb);
- bb = bb1;
- }
- if (bb2 > 0)
- bb = lshift(bb, bb2);
- if (bd5 > 0)
- bd = pow5mult(bd, bd5);
- if (bd2 > 0)
- bd = lshift(bd, bd2);
- if (bs2 > 0)
- bs = lshift(bs, bs2);
- delta = diff(bb, bd);
- dsign = delta->sign;
- delta->sign = 0;
- i = cmp(delta, bs);
+ bd2 += scale;
+#endif
+ i = bb2 < bd2 ? bb2 : bd2;
+ if (i > bs2) {
+ i = bs2;
+ }
+ if (i > 0) {
+ bb2 -= i;
+ bd2 -= i;
+ bs2 -= i;
+ }
+ if (bb5 > 0) {
+ bs = pow5mult(bs, bb5);
+ bb1 = mult(bs, bb);
+ Bfree(bb);
+ bb = bb1;
+ }
+ if (bb2 > 0) {
+ bb = lshift(bb, bb2);
+ }
+ if (bd5 > 0) {
+ bd = pow5mult(bd, bd5);
+ }
+ if (bd2 > 0) {
+ bd = lshift(bd, bd2);
+ }
+ if (bs2 > 0) {
+ bs = lshift(bs, bs2);
+ }
+ delta = diff(bb, bd);
+ dsign = delta->sign;
+ delta->sign = 0;
+ i = cmp(delta, bs);
#ifdef Honor_FLT_ROUNDS
- if (rounding != 1) {
- if (i < 0) {
- /* Error is less than an ulp */
- if (!delta->x[0] && delta->wds <= 1) {
- /* exact */
+ if (rounding != 1) {
+ if (i < 0) {
+ /* Error is less than an ulp */
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact */
#ifdef SET_INEXACT
- inexact = 0;
-#endif
- break;
- }
- if (rounding) {
- if (dsign) {
- adj = 1.;
- goto apply_adj;
- }
- }
- else if (!dsign) {
- adj = -1.;
- if (!word1(rv)
- && !(word0(rv) & Frac_mask)) {
- y = word0(rv) & Exp_mask;
+ inexact = 0;
+#endif
+ break;
+ }
+ if (rounding) {
+ if (dsign) {
+ adj = 1.;
+ goto apply_adj;
+ }
+ }
+ else if (!dsign) {
+ adj = -1.;
+ if (!word1(rv)
+ && !(word0(rv) & Frac_mask)) {
+ y = word0(rv) & Exp_mask;
#ifdef Avoid_Underflow
- if (!scale || y > 2*P*Exp_msk1)
+ if (!scale || y > 2*P*Exp_msk1)
#else
- if (y)
+ if (y)
#endif
- {
- delta = lshift(delta,Log2P);
- if (cmp(delta, bs) <= 0)
- adj = -0.5;
- }
- }
- apply_adj:
+ {
+ delta = lshift(delta,Log2P);
+ if (cmp(delta, bs) <= 0) {
+ adj = -0.5;
+ }
+ }
+ }
+apply_adj:
#ifdef Avoid_Underflow
- if (scale && (y = word0(rv) & Exp_mask)
- <= 2*P*Exp_msk1)
- word0(adj) += (2*P+1)*Exp_msk1 - y;
+ if (scale && (y = word0(rv) & Exp_mask)
+ <= 2*P*Exp_msk1) {
+ word0(adj) += (2*P+1)*Exp_msk1 - y;
+ }
#else
#ifdef Sudden_Underflow
- if ((word0(rv) & Exp_mask) <=
- P*Exp_msk1) {
- word0(rv) += P*Exp_msk1;
- dval(rv) += adj*ulp(dval(rv));
- word0(rv) -= P*Exp_msk1;
- }
- else
+ if ((word0(rv) & Exp_mask) <=
+ P*Exp_msk1) {
+ word0(rv) += P*Exp_msk1;
+ dval(rv) += adj*ulp(dval(rv));
+ word0(rv) -= P*Exp_msk1;
+ }
+ else
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
- dval(rv) += adj*ulp(dval(rv));
- }
- break;
- }
- adj = ratio(delta, bs);
- if (adj < 1.)
- adj = 1.;
- if (adj <= 0x7ffffffe) {
- /* adj = rounding ? ceil(adj) : floor(adj); */
- y = adj;
- if (y != adj) {
- if (!((rounding>>1) ^ dsign))
- y++;
- adj = y;
- }
- }
+ dval(rv) += adj*ulp(dval(rv));
+ }
+ break;
+ }
+ adj = ratio(delta, bs);
+ if (adj < 1.) {
+ adj = 1.;
+ }
+ if (adj <= 0x7ffffffe) {
+ /* adj = rounding ? ceil(adj) : floor(adj); */
+ y = adj;
+ if (y != adj) {
+ if (!((rounding>>1) ^ dsign)) {
+ y++;
+ }
+ adj = y;
+ }
+ }
#ifdef Avoid_Underflow
- if (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1)
- word0(adj) += (2*P+1)*Exp_msk1 - y;
+ if (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1) {
+ word0(adj) += (2*P+1)*Exp_msk1 - y;
+ }
#else
#ifdef Sudden_Underflow
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
- word0(rv) += P*Exp_msk1;
- adj *= ulp(dval(rv));
- if (dsign)
- dval(rv) += adj;
- else
- dval(rv) -= adj;
- word0(rv) -= P*Exp_msk1;
- goto cont;
- }
+ if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
+ word0(rv) += P*Exp_msk1;
+ adj *= ulp(dval(rv));
+ if (dsign) {
+ dval(rv) += adj;
+ }
+ else {
+ dval(rv) -= adj;
+ }
+ word0(rv) -= P*Exp_msk1;
+ goto cont;
+ }
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
- adj *= ulp(dval(rv));
- if (dsign)
- dval(rv) += adj;
- else
- dval(rv) -= adj;
- goto cont;
- }
+ adj *= ulp(dval(rv));
+ if (dsign) {
+ dval(rv) += adj;
+ }
+ else {
+ dval(rv) -= adj;
+ }
+ goto cont;
+ }
#endif /*Honor_FLT_ROUNDS*/
- if (i < 0) {
- /* Error is less than half an ulp -- check for
- * special case of mantissa a power of two.
- */
- if (dsign || word1(rv) || word0(rv) & Bndry_mask
+ if (i < 0) {
+ /* Error is less than half an ulp -- check for
+ * special case of mantissa a power of two.
+ */
+ if (dsign || word1(rv) || word0(rv) & Bndry_mask
#ifdef IEEE_Arith
#ifdef Avoid_Underflow
- || (word0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1
+ || (word0(rv) & Exp_mask) <= (2*P+1)*Exp_msk1
#else
- || (word0(rv) & Exp_mask) <= Exp_msk1
+ || (word0(rv) & Exp_mask) <= Exp_msk1
#endif
#endif
- ) {
+ ) {
#ifdef SET_INEXACT
- if (!delta->x[0] && delta->wds <= 1)
- inexact = 0;
+ if (!delta->x[0] && delta->wds <= 1) {
+ inexact = 0;
+ }
#endif
- break;
- }
- if (!delta->x[0] && delta->wds <= 1) {
- /* exact result */
+ break;
+ }
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact result */
#ifdef SET_INEXACT
- inexact = 0;
-#endif
- break;
- }
- delta = lshift(delta,Log2P);
- if (cmp(delta, bs) > 0)
- goto drop_down;
- break;
- }
- if (i == 0) {
- /* exactly half-way between */
- if (dsign) {
- if ((word0(rv) & Bndry_mask1) == Bndry_mask1
- && word1(rv) == (
+ inexact = 0;
+#endif
+ break;
+ }
+ delta = lshift(delta,Log2P);
+ if (cmp(delta, bs) > 0) {
+ goto drop_down;
+ }
+ break;
+ }
+ if (i == 0) {
+ /* exactly half-way between */
+ if (dsign) {
+ if ((word0(rv) & Bndry_mask1) == Bndry_mask1
+ && word1(rv) == (
#ifdef Avoid_Underflow
- (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1)
- ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
+ (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1)
+ ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
#endif
- 0xffffffff)) {
- /*boundary case -- increment exponent*/
- word0(rv) = (word0(rv) & Exp_mask)
- + Exp_msk1
+ 0xffffffff)) {
+ /*boundary case -- increment exponent*/
+ word0(rv) = (word0(rv) & Exp_mask)
+ + Exp_msk1
#ifdef IBM
- | Exp_msk1 >> 4
+ | Exp_msk1 >> 4
#endif
- ;
- word1(rv) = 0;
+ ;
+ word1(rv) = 0;
#ifdef Avoid_Underflow
- dsign = 0;
-#endif
- break;
- }
- }
- else if (!(word0(rv) & Bndry_mask) && !word1(rv)) {
- drop_down:
- /* boundary case -- decrement exponent */
+ dsign = 0;
+#endif
+ break;
+ }
+ }
+ else if (!(word0(rv) & Bndry_mask) && !word1(rv)) {
+drop_down:
+ /* boundary case -- decrement exponent */
#ifdef Sudden_Underflow /*{{*/
- L = word0(rv) & Exp_mask;
+ L = word0(rv) & Exp_mask;
#ifdef IBM
- if (L < Exp_msk1)
+ if (L < Exp_msk1)
#else
#ifdef Avoid_Underflow
- if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
+ if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
#else
- if (L <= Exp_msk1)
+ if (L <= Exp_msk1)
#endif /*Avoid_Underflow*/
#endif /*IBM*/
- goto undfl;
- L -= Exp_msk1;
+ goto undfl;
+ L -= Exp_msk1;
#else /*Sudden_Underflow}{*/
#ifdef Avoid_Underflow
- if (scale) {
- L = word0(rv) & Exp_mask;
- if (L <= (2*P+1)*Exp_msk1) {
- if (L > (P+2)*Exp_msk1)
- /* round even ==> */
- /* accept rv */
- break;
- /* rv = smallest denormal */
- goto undfl;
- }
- }
+ if (scale) {
+ L = word0(rv) & Exp_mask;
+ if (L <= (2*P+1)*Exp_msk1) {
+ if (L > (P+2)*Exp_msk1)
+ /* round even ==> */
+ /* accept rv */
+ {
+ break;
+ }
+ /* rv = smallest denormal */
+ goto undfl;
+ }
+ }
#endif /*Avoid_Underflow*/
- L = (word0(rv) & Exp_mask) - Exp_msk1;
+ L = (word0(rv) & Exp_mask) - Exp_msk1;
#endif /*Sudden_Underflow}}*/
- word0(rv) = L | Bndry_mask1;
- word1(rv) = 0xffffffff;
+ word0(rv) = L | Bndry_mask1;
+ word1(rv) = 0xffffffff;
#ifdef IBM
- goto cont;
+ goto cont;
#else
- break;
+ break;
#endif
- }
+ }
#ifndef ROUND_BIASED
- if (!(word1(rv) & LSB))
- break;
+ if (!(word1(rv) & LSB)) {
+ break;
+ }
#endif
- if (dsign)
- dval(rv) += ulp(dval(rv));
+ if (dsign) {
+ dval(rv) += ulp(dval(rv));
+ }
#ifndef ROUND_BIASED
- else {
- dval(rv) -= ulp(dval(rv));
+ else {
+ dval(rv) -= ulp(dval(rv));
#ifndef Sudden_Underflow
- if (!dval(rv))
- goto undfl;
+ if (!dval(rv)) {
+ goto undfl;
+ }
#endif
- }
+ }
#ifdef Avoid_Underflow
- dsign = 1 - dsign;
+ dsign = 1 - dsign;
#endif
#endif
- break;
- }
- if ((aadj = ratio(delta, bs)) <= 2.) {
- if (dsign)
- aadj = aadj1 = 1.;
- else if (word1(rv) || word0(rv) & Bndry_mask) {
+ break;
+ }
+ if ((aadj = ratio(delta, bs)) <= 2.) {
+ if (dsign) {
+ aadj = aadj1 = 1.;
+ }
+ else if (word1(rv) || word0(rv) & Bndry_mask) {
#ifndef Sudden_Underflow
- if (word1(rv) == Tiny1 && !word0(rv))
- goto undfl;
-#endif
- aadj = 1.;
- aadj1 = -1.;
- }
- else {
- /* special case -- power of FLT_RADIX to be */
- /* rounded down... */
-
- if (aadj < 2./FLT_RADIX)
- aadj = 1./FLT_RADIX;
- else
- aadj *= 0.5;
- aadj1 = -aadj;
- }
- }
- else {
- aadj *= 0.5;
- aadj1 = dsign ? aadj : -aadj;
+ if (word1(rv) == Tiny1 && !word0(rv)) {
+ goto undfl;
+ }
+#endif
+ aadj = 1.;
+ aadj1 = -1.;
+ }
+ else {
+ /* special case -- power of FLT_RADIX to be */
+ /* rounded down... */
+
+ if (aadj < 2./FLT_RADIX) {
+ aadj = 1./FLT_RADIX;
+ }
+ else {
+ aadj *= 0.5;
+ }
+ aadj1 = -aadj;
+ }
+ }
+ else {
+ aadj *= 0.5;
+ aadj1 = dsign ? aadj : -aadj;
#ifdef Check_FLT_ROUNDS
- switch(Rounding) {
- case 2: /* towards +infinity */
- aadj1 -= 0.5;
- break;
- case 0: /* towards 0 */
- case 3: /* towards -infinity */
- aadj1 += 0.5;
- }
-#else
- if (Flt_Rounds == 0)
- aadj1 += 0.5;
+ switch(Rounding) {
+ case 2: /* towards +infinity */
+ aadj1 -= 0.5;
+ break;
+ case 0: /* towards 0 */
+ case 3: /* towards -infinity */
+ aadj1 += 0.5;
+ }
+#else
+ if (Flt_Rounds == 0) {
+ aadj1 += 0.5;
+ }
#endif /*Check_FLT_ROUNDS*/
- }
- y = word0(rv) & Exp_mask;
-
- /* Check for overflow */
-
- if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
- dval(rv0) = dval(rv);
- word0(rv) -= P*Exp_msk1;
- adj = aadj1 * ulp(dval(rv));
- dval(rv) += adj;
- if ((word0(rv) & Exp_mask) >=
- Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
- if (word0(rv0) == Big0 && word1(rv0) == Big1)
- goto ovfl;
- word0(rv) = Big0;
- word1(rv) = Big1;
- goto cont;
- }
- else
- word0(rv) += P*Exp_msk1;
- }
- else {
+ }
+ y = word0(rv) & Exp_mask;
+
+ /* Check for overflow */
+
+ if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
+ dval(rv0) = dval(rv);
+ word0(rv) -= P*Exp_msk1;
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+ if ((word0(rv) & Exp_mask) >=
+ Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
+ if (word0(rv0) == Big0 && word1(rv0) == Big1) {
+ goto ovfl;
+ }
+ word0(rv) = Big0;
+ word1(rv) = Big1;
+ goto cont;
+ }
+ else {
+ word0(rv) += P*Exp_msk1;
+ }
+ }
+ else {
#ifdef Avoid_Underflow
- if (scale && y <= 2*P*Exp_msk1) {
- if (aadj <= 0x7fffffff) {
- if ((z = aadj) <= 0)
- z = 1;
- aadj = z;
- aadj1 = dsign ? aadj : -aadj;
- }
- dval(aadj2) = aadj1;
- word0(aadj2) += (2*P+1)*Exp_msk1 - y;
- aadj1 = dval(aadj2);
- }
- adj = aadj1 * ulp(dval(rv));
- dval(rv) += adj;
+ if (scale && y <= 2*P*Exp_msk1) {
+ if (aadj <= 0x7fffffff) {
+ if ((z = aadj) <= 0) {
+ z = 1;
+ }
+ aadj = z;
+ aadj1 = dsign ? aadj : -aadj;
+ }
+ dval(aadj2) = aadj1;
+ word0(aadj2) += (2*P+1)*Exp_msk1 - y;
+ aadj1 = dval(aadj2);
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
#else
#ifdef Sudden_Underflow
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
- dval(rv0) = dval(rv);
- word0(rv) += P*Exp_msk1;
- adj = aadj1 * ulp(dval(rv));
- dval(rv) += adj;
+ if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
+ dval(rv0) = dval(rv);
+ word0(rv) += P*Exp_msk1;
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
#ifdef IBM
- if ((word0(rv) & Exp_mask) < P*Exp_msk1)
-#else
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1)
-#endif
- {
- if (word0(rv0) == Tiny0
- && word1(rv0) == Tiny1)
- goto undfl;
- word0(rv) = Tiny0;
- word1(rv) = Tiny1;
- goto cont;
- }
- else
- word0(rv) -= P*Exp_msk1;
- }
- else {
- adj = aadj1 * ulp(dval(rv));
- dval(rv) += adj;
- }
+ if ((word0(rv) & Exp_mask) < P*Exp_msk1)
+#else
+ if ((word0(rv) & Exp_mask) <= P*Exp_msk1)
+#endif
+ {
+ if (word0(rv0) == Tiny0
+ && word1(rv0) == Tiny1) {
+ goto undfl;
+ }
+ word0(rv) = Tiny0;
+ word1(rv) = Tiny1;
+ goto cont;
+ }
+ else {
+ word0(rv) -= P*Exp_msk1;
+ }
+ }
+ else {
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+ }
#else /*Sudden_Underflow*/
- /* Compute adj so that the IEEE rounding rules will
- * correctly round rv + adj in some half-way cases.
- * If rv * ulp(rv) is denormalized (i.e.,
- * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
- * trouble from bits lost to denormalization;
- * example: 1.2e-307 .
- */
- if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
- aadj1 = (double)(int)(aadj + 0.5);
- if (!dsign)
- aadj1 = -aadj1;
- }
- adj = aadj1 * ulp(dval(rv));
- dval(rv) += adj;
+ /* Compute adj so that the IEEE rounding rules will
+ * correctly round rv + adj in some half-way cases.
+ * If rv * ulp(rv) is denormalized (i.e.,
+ * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
+ * trouble from bits lost to denormalization;
+ * example: 1.2e-307 .
+ */
+ if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
+ aadj1 = (double)(int)(aadj + 0.5);
+ if (!dsign) {
+ aadj1 = -aadj1;
+ }
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
- }
- z = word0(rv) & Exp_mask;
+ }
+ z = word0(rv) & Exp_mask;
#ifndef SET_INEXACT
#ifdef Avoid_Underflow
- if (!scale)
-#endif
- if (y == z) {
- /* Can we stop now? */
- L = (Long)aadj;
- aadj -= L;
- /* The tolerances below are conservative. */
- if (dsign || word1(rv) || word0(rv) & Bndry_mask) {
- if (aadj < .4999999 || aadj > .5000001)
- break;
- }
- else if (aadj < .4999999/FLT_RADIX)
- break;
- }
-#endif
- cont:
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(delta);
- }
+ if (!scale)
+#endif
+ if (y == z) {
+ /* Can we stop now? */
+ L = (Long)aadj;
+ aadj -= L;
+ /* The tolerances below are conservative. */
+ if (dsign || word1(rv) || word0(rv) & Bndry_mask) {
+ if (aadj < .4999999 || aadj > .5000001) {
+ break;
+ }
+ }
+ else if (aadj < .4999999/FLT_RADIX) {
+ break;
+ }
+ }
+#endif
+cont:
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(delta);
+}
#ifdef SET_INEXACT
- if (inexact) {
- if (!oldinexact) {
- word0(rv0) = Exp_1 + (70 << Exp_shift);
- word1(rv0) = 0;
- dval(rv0) += 1.;
- }
- }
- else if (!oldinexact)
- clear_inexact();
+if (inexact) {
+ if (!oldinexact) {
+ word0(rv0) = Exp_1 + (70 << Exp_shift);
+ word1(rv0) = 0;
+ dval(rv0) += 1.;
+ }
+}
+else if (!oldinexact) {
+ clear_inexact();
+}
#endif
#ifdef Avoid_Underflow
- if (scale) {
- word0(rv0) = Exp_1 - 2*P*Exp_msk1;
- word1(rv0) = 0;
- dval(rv) *= dval(rv0);
+if (scale) {
+ word0(rv0) = Exp_1 - 2*P*Exp_msk1;
+ word1(rv0) = 0;
+ dval(rv) *= dval(rv0);
#ifndef NO_ERRNO
- /* try to avoid the bug of testing an 8087 register value */
- if (word0(rv) == 0 && word1(rv) == 0)
- PR_SetError(PR_RANGE_ERROR, 0);
+ /* try to avoid the bug of testing an 8087 register value */
+ if (word0(rv) == 0 && word1(rv) == 0) {
+ PR_SetError(PR_RANGE_ERROR, 0);
+ }
#endif
- }
+}
#endif /* Avoid_Underflow */
#ifdef SET_INEXACT
- if (inexact && !(word0(rv) & Exp_mask)) {
- /* set underflow bit */
- dval(rv0) = 1e-300;
- dval(rv0) *= dval(rv0);
- }
-#endif
- retfree:
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(bd0);
- Bfree(delta);
- ret:
- if (se)
- *se = (char *)s;
- return sign ? -dval(rv) : dval(rv);
- }
-
- static int
+if (inexact && !(word0(rv) & Exp_mask)) {
+ /* set underflow bit */
+ dval(rv0) = 1e-300;
+ dval(rv0) *= dval(rv0);
+}
+#endif
+retfree:
+Bfree(bb);
+Bfree(bd);
+Bfree(bs);
+Bfree(bd0);
+Bfree(delta);
+ret:
+if (se) {
+ *se = (char *)s;
+}
+return sign ? -dval(rv) : dval(rv);
+}
+
+static int
quorem
#ifdef KR_headers
- (b, S) Bigint *b, *S;
+(b, S) Bigint *b, *S;
#else
- (Bigint *b, Bigint *S)
+(Bigint *b, Bigint *S)
#endif
{
- int n;
- ULong *bx, *bxe, q, *sx, *sxe;
+ int n;
+ ULong *bx, *bxe, q, *sx, *sxe;
#ifdef ULLong
- ULLong borrow, carry, y, ys;
+ ULLong borrow, carry, y, ys;
#else
- ULong borrow, carry, y, ys;
+ ULong borrow, carry, y, ys;
#ifdef Pack_32
- ULong si, z, zs;
+ ULong si, z, zs;
#endif
#endif
- n = S->wds;
+ n = S->wds;
#ifdef DEBUG
- /*debug*/ if (b->wds > n)
- /*debug*/ Bug("oversize b in quorem");
-#endif
- if (b->wds < n)
- return 0;
- sx = S->x;
- sxe = sx + --n;
- bx = b->x;
- bxe = bx + n;
- q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
+ /*debug*/ if (b->wds > n)
+ /*debug*/{
+ Bug("oversize b in quorem");
+ }
+#endif
+ if (b->wds < n) {
+ return 0;
+ }
+ sx = S->x;
+ sxe = sx + --n;
+ bx = b->x;
+ bxe = bx + n;
+ q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
#ifdef DEBUG
- /*debug*/ if (q > 9)
- /*debug*/ Bug("oversized quotient in quorem");
+ /*debug*/ if (q > 9)
+ /*debug*/{
+ Bug("oversized quotient in quorem");
+ }
#endif
- if (q) {
- borrow = 0;
- carry = 0;
- do {
+ if (q) {
+ borrow = 0;
+ carry = 0;
+ do {
#ifdef ULLong
- ys = *sx++ * (ULLong)q + carry;
- carry = ys >> 32;
- y = *bx - (ys & FFFFFFFF) - borrow;
- borrow = y >> 32 & (ULong)1;
- *bx++ = y & FFFFFFFF;
+ ys = *sx++ * (ULLong)q + carry;
+ carry = ys >> 32;
+ y = *bx - (ys & FFFFFFFF) - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *bx++ = y & FFFFFFFF;
#else
#ifdef Pack_32
- si = *sx++;
- ys = (si & 0xffff) * q + carry;
- zs = (si >> 16) * q + (ys >> 16);
- carry = zs >> 16;
- y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- z = (*bx >> 16) - (zs & 0xffff) - borrow;
- borrow = (z & 0x10000) >> 16;
- Storeinc(bx, z, y);
-#else
- ys = *sx++ * q + carry;
- carry = ys >> 16;
- y = *bx - (ys & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- *bx++ = y & 0xffff;
-#endif
-#endif
- }
- while(sx <= sxe);
- if (!*bxe) {
- bx = b->x;
- while(--bxe > bx && !*bxe)
- --n;
- b->wds = n;
- }
- }
- if (cmp(b, S) >= 0) {
- q++;
- borrow = 0;
- carry = 0;
- bx = b->x;
- sx = S->x;
- do {
+ si = *sx++;
+ ys = (si & 0xffff) * q + carry;
+ zs = (si >> 16) * q + (ys >> 16);
+ carry = zs >> 16;
+ y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*bx >> 16) - (zs & 0xffff) - borrow;
+ borrow = (z & 0x10000) >> 16;
+ Storeinc(bx, z, y);
+#else
+ ys = *sx++ * q + carry;
+ carry = ys >> 16;
+ y = *bx - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ *bx++ = y & 0xffff;
+#endif
+#endif
+ }
+ while(sx <= sxe);
+ if (!*bxe) {
+ bx = b->x;
+ while(--bxe > bx && !*bxe) {
+ --n;
+ }
+ b->wds = n;
+ }
+ }
+ if (cmp(b, S) >= 0) {
+ q++;
+ borrow = 0;
+ carry = 0;
+ bx = b->x;
+ sx = S->x;
+ do {
#ifdef ULLong
- ys = *sx++ + carry;
- carry = ys >> 32;
- y = *bx - (ys & FFFFFFFF) - borrow;
- borrow = y >> 32 & (ULong)1;
- *bx++ = y & FFFFFFFF;
+ ys = *sx++ + carry;
+ carry = ys >> 32;
+ y = *bx - (ys & FFFFFFFF) - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *bx++ = y & FFFFFFFF;
#else
#ifdef Pack_32
- si = *sx++;
- ys = (si & 0xffff) + carry;
- zs = (si >> 16) + (ys >> 16);
- carry = zs >> 16;
- y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- z = (*bx >> 16) - (zs & 0xffff) - borrow;
- borrow = (z & 0x10000) >> 16;
- Storeinc(bx, z, y);
-#else
- ys = *sx++ + carry;
- carry = ys >> 16;
- y = *bx - (ys & 0xffff) - borrow;
- borrow = (y & 0x10000) >> 16;
- *bx++ = y & 0xffff;
-#endif
-#endif
- }
- while(sx <= sxe);
- bx = b->x;
- bxe = bx + n;
- if (!*bxe) {
- while(--bxe > bx && !*bxe)
- --n;
- b->wds = n;
- }
- }
- return q;
- }
+ si = *sx++;
+ ys = (si & 0xffff) + carry;
+ zs = (si >> 16) + (ys >> 16);
+ carry = zs >> 16;
+ y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*bx >> 16) - (zs & 0xffff) - borrow;
+ borrow = (z & 0x10000) >> 16;
+ Storeinc(bx, z, y);
+#else
+ ys = *sx++ + carry;
+ carry = ys >> 16;
+ y = *bx - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ *bx++ = y & 0xffff;
+#endif
+#endif
+ }
+ while(sx <= sxe);
+ bx = b->x;
+ bxe = bx + n;
+ if (!*bxe) {
+ while(--bxe > bx && !*bxe) {
+ --n;
+ }
+ b->wds = n;
+ }
+ }
+ return q;
+}
#ifndef MULTIPLE_THREADS
- static char *dtoa_result;
+static char *dtoa_result;
#endif
- static char *
+static char *
#ifdef KR_headers
rv_alloc(i) int i;
#else
rv_alloc(int i)
#endif
{
- int j, k, *r;
-
- j = sizeof(ULong);
- for(k = 0;
- sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
- j <<= 1)
- k++;
- r = (int*)Balloc(k);
- *r = k;
- return
+ int j, k, *r;
+
+ j = sizeof(ULong);
+ for(k = 0;
+ sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
+ j <<= 1) {
+ k++;
+ }
+ r = (int*)Balloc(k);
+ *r = k;
+ return
#ifndef MULTIPLE_THREADS
- dtoa_result =
+ dtoa_result =
#endif
- (char *)(r+1);
- }
+ (char *)(r+1);
+}
- static char *
+static char *
#ifdef KR_headers
nrv_alloc(s, rve, n) char *s, **rve; int n;
#else
nrv_alloc(char *s, char **rve, int n)
#endif
{
- char *rv, *t;
+ char *rv, *t;
- t = rv = rv_alloc(n);
- while(*t = *s++) t++;
- if (rve)
- *rve = t;
- return rv;
- }
+ t = rv = rv_alloc(n);
+ while(*t = *s++) {
+ t++;
+ }
+ if (rve) {
+ *rve = t;
+ }
+ return rv;
+}
/* freedtoa(s) must be used to free values s returned by dtoa
* when MULTIPLE_THREADS is #defined. It should be used in all cases,
@@ -2658,21 +2802,22 @@ nrv_alloc(char *s, char **rve, int n)
* when MULTIPLE_THREADS is not defined.
*/
- static void
+static void
#ifdef KR_headers
freedtoa(s) char *s;
#else
freedtoa(char *s)
#endif
{
- Bigint *b = (Bigint *)((int *)s - 1);
- b->maxwds = 1 << (b->k = *(int*)b);
- Bfree(b);
+ Bigint *b = (Bigint *)((int *)s - 1);
+ b->maxwds = 1 << (b->k = *(int*)b);
+ Bfree(b);
#ifndef MULTIPLE_THREADS
- if (s == dtoa_result)
- dtoa_result = 0;
+ if (s == dtoa_result) {
+ dtoa_result = 0;
+ }
#endif
- }
+}
/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
*
@@ -2680,729 +2825,770 @@ freedtoa(char *s)
* Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
*
* Modifications:
- * 1. Rather than iterating, we use a simple numeric overestimate
- * to determine k = floor(log10(d)). We scale relevant
- * quantities using O(log2(k)) rather than O(k) multiplications.
- * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
- * try to generate digits strictly left to right. Instead, we
- * compute with fewer bits and propagate the carry if necessary
- * when rounding the final digit up. This is often faster.
- * 3. Under the assumption that input will be rounded nearest,
- * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
- * That is, we allow equality in stopping tests when the
- * round-nearest rule will give the same floating-point value
- * as would satisfaction of the stopping test with strict
- * inequality.
- * 4. We remove common factors of powers of 2 from relevant
- * quantities.
- * 5. When converting floating-point integers less than 1e16,
- * we use floating-point arithmetic rather than resorting
- * to multiple-precision integers.
- * 6. When asked to produce fewer than 15 digits, we first try
- * to get by with floating-point arithmetic; we resort to
- * multiple-precision integer arithmetic only if we cannot
- * guarantee that the floating-point calculation has given
- * the correctly rounded result. For k requested digits and
- * "uniformly" distributed input, the probability is
- * something like 10^(k-15) that we must resort to the Long
- * calculation.
+ * 1. Rather than iterating, we use a simple numeric overestimate
+ * to determine k = floor(log10(d)). We scale relevant
+ * quantities using O(log2(k)) rather than O(k) multiplications.
+ * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
+ * try to generate digits strictly left to right. Instead, we
+ * compute with fewer bits and propagate the carry if necessary
+ * when rounding the final digit up. This is often faster.
+ * 3. Under the assumption that input will be rounded nearest,
+ * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
+ * That is, we allow equality in stopping tests when the
+ * round-nearest rule will give the same floating-point value
+ * as would satisfaction of the stopping test with strict
+ * inequality.
+ * 4. We remove common factors of powers of 2 from relevant
+ * quantities.
+ * 5. When converting floating-point integers less than 1e16,
+ * we use floating-point arithmetic rather than resorting
+ * to multiple-precision integers.
+ * 6. When asked to produce fewer than 15 digits, we first try
+ * to get by with floating-point arithmetic; we resort to
+ * multiple-precision integer arithmetic only if we cannot
+ * guarantee that the floating-point calculation has given
+ * the correctly rounded result. For k requested digits and
+ * "uniformly" distributed input, the probability is
+ * something like 10^(k-15) that we must resort to the Long
+ * calculation.
*/
- static char *
+static char *
dtoa
#ifdef KR_headers
- (dd, mode, ndigits, decpt, sign, rve)
- double dd; int mode, ndigits, *decpt, *sign; char **rve;
+(dd, mode, ndigits, decpt, sign, rve)
+double dd; int mode, ndigits, *decpt, *sign; char **rve;
#else
- (double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
+(double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
#endif
{
- /* Arguments ndigits, decpt, sign are similar to those
- of ecvt and fcvt; trailing zeros are suppressed from
- the returned string. If not null, *rve is set to point
- to the end of the return value. If d is +-Infinity or NaN,
- then *decpt is set to 9999.
-
- mode:
- 0 ==> shortest string that yields d when read in
- and rounded to nearest.
- 1 ==> like 0, but with Steele & White stopping rule;
- e.g. with IEEE P754 arithmetic , mode 0 gives
- 1e23 whereas mode 1 gives 9.999999999999999e22.
- 2 ==> max(1,ndigits) significant digits. This gives a
- return value similar to that of ecvt, except
- that trailing zeros are suppressed.
- 3 ==> through ndigits past the decimal point. This
- gives a return value similar to that from fcvt,
- except that trailing zeros are suppressed, and
- ndigits can be negative.
- 4,5 ==> similar to 2 and 3, respectively, but (in
- round-nearest mode) with the tests of mode 0 to
- possibly return a shorter string that rounds to d.
- With IEEE arithmetic and compilation with
- -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
- as modes 2 and 3 when FLT_ROUNDS != 1.
- 6-9 ==> Debugging modes similar to mode - 4: don't try
- fast floating-point estimate (if applicable).
-
- Values of mode other than 0-9 are treated as mode 0.
-
- Sufficient space is allocated to the return value
- to hold the suppressed trailing zeros.
- */
-
- int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
- j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
- spec_case, try_quick;
- Long L;
+ /* Arguments ndigits, decpt, sign are similar to those
+ of ecvt and fcvt; trailing zeros are suppressed from
+ the returned string. If not null, *rve is set to point
+ to the end of the return value. If d is +-Infinity or NaN,
+ then *decpt is set to 9999.
+
+ mode:
+ 0 ==> shortest string that yields d when read in
+ and rounded to nearest.
+ 1 ==> like 0, but with Steele & White stopping rule;
+ e.g. with IEEE P754 arithmetic , mode 0 gives
+ 1e23 whereas mode 1 gives 9.999999999999999e22.
+ 2 ==> max(1,ndigits) significant digits. This gives a
+ return value similar to that of ecvt, except
+ that trailing zeros are suppressed.
+ 3 ==> through ndigits past the decimal point. This
+ gives a return value similar to that from fcvt,
+ except that trailing zeros are suppressed, and
+ ndigits can be negative.
+ 4,5 ==> similar to 2 and 3, respectively, but (in
+ round-nearest mode) with the tests of mode 0 to
+ possibly return a shorter string that rounds to d.
+ With IEEE arithmetic and compilation with
+ -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
+ as modes 2 and 3 when FLT_ROUNDS != 1.
+ 6-9 ==> Debugging modes similar to mode - 4: don't try
+ fast floating-point estimate (if applicable).
+
+ Values of mode other than 0-9 are treated as mode 0.
+
+ Sufficient space is allocated to the return value
+ to hold the suppressed trailing zeros.
+ */
+
+ int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
+ j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
+ spec_case, try_quick;
+ Long L;
#ifndef Sudden_Underflow
- int denorm;
- ULong x;
+ int denorm;
+ ULong x;
#endif
- Bigint *b, *b1, *delta, *mlo, *mhi, *S;
- U d, d2, eps;
- double ds;
- char *s, *s0;
+ Bigint *b, *b1, *delta, *mlo, *mhi, *S;
+ U d, d2, eps;
+ double ds;
+ char *s, *s0;
#ifdef Honor_FLT_ROUNDS
- int rounding;
+ int rounding;
#endif
#ifdef SET_INEXACT
- int inexact, oldinexact;
+ int inexact, oldinexact;
#endif
#ifndef MULTIPLE_THREADS
- if (dtoa_result) {
- freedtoa(dtoa_result);
- dtoa_result = 0;
- }
+ if (dtoa_result) {
+ freedtoa(dtoa_result);
+ dtoa_result = 0;
+ }
#endif
- dval(d) = dd;
- if (word0(d) & Sign_bit) {
- /* set sign for everything, including 0's and NaNs */
- *sign = 1;
- word0(d) &= ~Sign_bit; /* clear sign bit */
- }
- else
- *sign = 0;
+ dval(d) = dd;
+ if (word0(d) & Sign_bit) {
+ /* set sign for everything, including 0's and NaNs */
+ *sign = 1;
+ word0(d) &= ~Sign_bit; /* clear sign bit */
+ }
+ else {
+ *sign = 0;
+ }
#if defined(IEEE_Arith) + defined(VAX)
#ifdef IEEE_Arith
- if ((word0(d) & Exp_mask) == Exp_mask)
+ if ((word0(d) & Exp_mask) == Exp_mask)
#else
- if (word0(d) == 0x8000)
+ if (word0(d) == 0x8000)
#endif
- {
- /* Infinity or NaN */
- *decpt = 9999;
+ {
+ /* Infinity or NaN */
+ *decpt = 9999;
#ifdef IEEE_Arith
- if (!word1(d) && !(word0(d) & 0xfffff))
- return nrv_alloc("Infinity", rve, 8);
+ if (!word1(d) && !(word0(d) & 0xfffff)) {
+ return nrv_alloc("Infinity", rve, 8);
+ }
#endif
- return nrv_alloc("NaN", rve, 3);
- }
+ return nrv_alloc("NaN", rve, 3);
+ }
#endif
#ifdef IBM
- dval(d) += 0; /* normalize */
+ dval(d) += 0; /* normalize */
#endif
- if (!dval(d)) {
- *decpt = 1;
- return nrv_alloc("0", rve, 1);
- }
+ if (!dval(d)) {
+ *decpt = 1;
+ return nrv_alloc("0", rve, 1);
+ }
#ifdef SET_INEXACT
- try_quick = oldinexact = get_inexact();
- inexact = 1;
+ try_quick = oldinexact = get_inexact();
+ inexact = 1;
#endif
#ifdef Honor_FLT_ROUNDS
- if ((rounding = Flt_Rounds) >= 2) {
- if (*sign)
- rounding = rounding == 2 ? 0 : 2;
- else
- if (rounding != 2)
- rounding = 0;
- }
+ if ((rounding = Flt_Rounds) >= 2) {
+ if (*sign) {
+ rounding = rounding == 2 ? 0 : 2;
+ }
+ else if (rounding != 2) {
+ rounding = 0;
+ }
+ }
#endif
- b = d2b(dval(d), &be, &bbits);
+ b = d2b(dval(d), &be, &bbits);
#ifdef Sudden_Underflow
- i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
+ i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
- if (i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) {
+ if (i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) {
#endif
- dval(d2) = dval(d);
- word0(d2) &= Frac_mask1;
- word0(d2) |= Exp_11;
+ dval(d2) = dval(d);
+ word0(d2) &= Frac_mask1;
+ word0(d2) |= Exp_11;
#ifdef IBM
- if (j = 11 - hi0bits(word0(d2) & Frac_mask))
- dval(d2) /= 1 << j;
-#endif
-
- /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
- * log10(x) = log(x) / log(10)
- * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
- * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
- *
- * This suggests computing an approximation k to log10(d) by
- *
- * k = (i - Bias)*0.301029995663981
- * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
- *
- * We want k to be too large rather than too small.
- * The error in the first-order Taylor series approximation
- * is in our favor, so we just round up the constant enough
- * to compensate for any error in the multiplication of
- * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
- * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
- * adding 1e-13 to the constant term more than suffices.
- * Hence we adjust the constant term to 0.1760912590558.
- * (We could get a more accurate k by invoking log10,
- * but this is probably not worthwhile.)
- */
-
- i -= Bias;
+ if (j = 11 - hi0bits(word0(d2) & Frac_mask)) {
+ dval(d2) /= 1 << j;
+ }
+#endif
+
+ /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
+ * log10(x) = log(x) / log(10)
+ * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
+ * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
+ *
+ * This suggests computing an approximation k to log10(d) by
+ *
+ * k = (i - Bias)*0.301029995663981
+ * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
+ *
+ * We want k to be too large rather than too small.
+ * The error in the first-order Taylor series approximation
+ * is in our favor, so we just round up the constant enough
+ * to compensate for any error in the multiplication of
+ * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
+ * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
+ * adding 1e-13 to the constant term more than suffices.
+ * Hence we adjust the constant term to 0.1760912590558.
+ * (We could get a more accurate k by invoking log10,
+ * but this is probably not worthwhile.)
+ */
+
+ i -= Bias;
#ifdef IBM
- i <<= 2;
- i += j;
+ i <<= 2;
+ i += j;
#endif
#ifndef Sudden_Underflow
- denorm = 0;
- }
- else {
- /* d is denormalized */
-
- i = bbits + be + (Bias + (P-1) - 1);
- x = i > 32 ? word0(d) << 64 - i | word1(d) >> i - 32
- : word1(d) << 32 - i;
- dval(d2) = x;
- word0(d2) -= 31*Exp_msk1; /* adjust exponent */
- i -= (Bias + (P-1) - 1) + 1;
- denorm = 1;
- }
-#endif
- ds = (dval(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
- k = (int)ds;
- if (ds < 0. && ds != k)
- k--; /* want k = floor(ds) */
- k_check = 1;
- if (k >= 0 && k <= Ten_pmax) {
- if (dval(d) < tens[k])
- k--;
- k_check = 0;
- }
- j = bbits - i - 1;
- if (j >= 0) {
- b2 = 0;
- s2 = j;
- }
- else {
- b2 = -j;
- s2 = 0;
- }
- if (k >= 0) {
- b5 = 0;
- s5 = k;
- s2 += k;
- }
- else {
- b2 -= k;
- b5 = -k;
- s5 = 0;
- }
- if (mode < 0 || mode > 9)
- mode = 0;
+ denorm = 0;
+}
+else {
+ /* d is denormalized */
+
+ i = bbits + be + (Bias + (P-1) - 1);
+ x = i > 32 ? word0(d) << 64 - i | word1(d) >> i - 32
+ : word1(d) << 32 - i;
+ dval(d2) = x;
+ word0(d2) -= 31*Exp_msk1; /* adjust exponent */
+ i -= (Bias + (P-1) - 1) + 1;
+ denorm = 1;
+}
+#endif
+ds = (dval(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
+k = (int)ds;
+if (ds < 0. && ds != k) {
+ k--; /* want k = floor(ds) */
+}
+k_check = 1;
+if (k >= 0 && k <= Ten_pmax) {
+ if (dval(d) < tens[k]) {
+ k--;
+ }
+ k_check = 0;
+}
+j = bbits - i - 1;
+if (j >= 0) {
+ b2 = 0;
+ s2 = j;
+}
+else {
+ b2 = -j;
+ s2 = 0;
+}
+if (k >= 0) {
+ b5 = 0;
+ s5 = k;
+ s2 += k;
+}
+else {
+ b2 -= k;
+ b5 = -k;
+ s5 = 0;
+}
+if (mode < 0 || mode > 9) {
+ mode = 0;
+}
#ifndef SET_INEXACT
#ifdef Check_FLT_ROUNDS
- try_quick = Rounding == 1;
+try_quick = Rounding == 1;
#else
- try_quick = 1;
+try_quick = 1;
#endif
#endif /*SET_INEXACT*/
- if (mode > 5) {
- mode -= 4;
- try_quick = 0;
- }
- leftright = 1;
- switch(mode) {
- case 0:
- case 1:
- ilim = ilim1 = -1;
- i = 18;
- ndigits = 0;
- break;
- case 2:
- leftright = 0;
- /* no break */
- case 4:
- if (ndigits <= 0)
- ndigits = 1;
- ilim = ilim1 = i = ndigits;
- break;
- case 3:
- leftright = 0;
- /* no break */
- case 5:
- i = ndigits + k + 1;
- ilim = i;
- ilim1 = i - 1;
- if (i <= 0)
- i = 1;
- }
- s = s0 = rv_alloc(i);
+if (mode > 5) {
+ mode -= 4;
+ try_quick = 0;
+}
+leftright = 1;
+switch(mode) {
+case 0:
+case 1:
+ ilim = ilim1 = -1;
+ i = 18;
+ ndigits = 0;
+ break;
+case 2:
+ leftright = 0;
+/* no break */
+case 4:
+ if (ndigits <= 0) {
+ ndigits = 1;
+ }
+ ilim = ilim1 = i = ndigits;
+ break;
+case 3:
+ leftright = 0;
+/* no break */
+case 5:
+ i = ndigits + k + 1;
+ ilim = i;
+ ilim1 = i - 1;
+ if (i <= 0) {
+ i = 1;
+ }
+}
+s = s0 = rv_alloc(i);
#ifdef Honor_FLT_ROUNDS
- if (mode > 1 && rounding != 1)
- leftright = 0;
-#endif
-
- if (ilim >= 0 && ilim <= Quick_max && try_quick) {
-
- /* Try to get by with floating-point arithmetic. */
-
- i = 0;
- dval(d2) = dval(d);
- k0 = k;
- ilim0 = ilim;
- ieps = 2; /* conservative */
- if (k > 0) {
- ds = tens[k&0xf];
- j = k >> 4;
- if (j & Bletch) {
- /* prevent overflows */
- j &= Bletch - 1;
- dval(d) /= bigtens[n_bigtens-1];
- ieps++;
- }
- for(; j; j >>= 1, i++)
- if (j & 1) {
- ieps++;
- ds *= bigtens[i];
- }
- dval(d) /= ds;
- }
- else if (j1 = -k) {
- dval(d) *= tens[j1 & 0xf];
- for(j = j1 >> 4; j; j >>= 1, i++)
- if (j & 1) {
- ieps++;
- dval(d) *= bigtens[i];
- }
- }
- if (k_check && dval(d) < 1. && ilim > 0) {
- if (ilim1 <= 0)
- goto fast_failed;
- ilim = ilim1;
- k--;
- dval(d) *= 10.;
- ieps++;
- }
- dval(eps) = ieps*dval(d) + 7.;
- word0(eps) -= (P-1)*Exp_msk1;
- if (ilim == 0) {
- S = mhi = 0;
- dval(d) -= 5.;
- if (dval(d) > dval(eps))
- goto one_digit;
- if (dval(d) < -dval(eps))
- goto no_digits;
- goto fast_failed;
- }
+if (mode > 1 && rounding != 1) {
+ leftright = 0;
+}
+#endif
+
+if (ilim >= 0 && ilim <= Quick_max && try_quick) {
+
+ /* Try to get by with floating-point arithmetic. */
+
+ i = 0;
+ dval(d2) = dval(d);
+ k0 = k;
+ ilim0 = ilim;
+ ieps = 2; /* conservative */
+ if (k > 0) {
+ ds = tens[k&0xf];
+ j = k >> 4;
+ if (j & Bletch) {
+ /* prevent overflows */
+ j &= Bletch - 1;
+ dval(d) /= bigtens[n_bigtens-1];
+ ieps++;
+ }
+ for(; j; j >>= 1, i++)
+ if (j & 1) {
+ ieps++;
+ ds *= bigtens[i];
+ }
+ dval(d) /= ds;
+ }
+ else if (j1 = -k) {
+ dval(d) *= tens[j1 & 0xf];
+ for(j = j1 >> 4; j; j >>= 1, i++)
+ if (j & 1) {
+ ieps++;
+ dval(d) *= bigtens[i];
+ }
+ }
+ if (k_check && dval(d) < 1. && ilim > 0) {
+ if (ilim1 <= 0) {
+ goto fast_failed;
+ }
+ ilim = ilim1;
+ k--;
+ dval(d) *= 10.;
+ ieps++;
+ }
+ dval(eps) = ieps*dval(d) + 7.;
+ word0(eps) -= (P-1)*Exp_msk1;
+ if (ilim == 0) {
+ S = mhi = 0;
+ dval(d) -= 5.;
+ if (dval(d) > dval(eps)) {
+ goto one_digit;
+ }
+ if (dval(d) < -dval(eps)) {
+ goto no_digits;
+ }
+ goto fast_failed;
+ }
#ifndef No_leftright
- if (leftright) {
- /* Use Steele & White method of only
- * generating digits needed.
- */
- dval(eps) = 0.5/tens[ilim-1] - dval(eps);
- for(i = 0;;) {
- L = dval(d);
- dval(d) -= L;
- *s++ = '0' + (int)L;
- if (dval(d) < dval(eps))
- goto ret1;
- if (1. - dval(d) < dval(eps))
- goto bump_up;
- if (++i >= ilim)
- break;
- dval(eps) *= 10.;
- dval(d) *= 10.;
- }
- }
- else {
-#endif
- /* Generate ilim digits, then fix them up. */
- dval(eps) *= tens[ilim-1];
- for(i = 1;; i++, dval(d) *= 10.) {
- L = (Long)(dval(d));
- if (!(dval(d) -= L))
- ilim = i;
- *s++ = '0' + (int)L;
- if (i == ilim) {
- if (dval(d) > 0.5 + dval(eps))
- goto bump_up;
- else if (dval(d) < 0.5 - dval(eps)) {
- while(*--s == '0');
- s++;
- goto ret1;
- }
- break;
- }
- }
+ if (leftright) {
+ /* Use Steele & White method of only
+ * generating digits needed.
+ */
+ dval(eps) = 0.5/tens[ilim-1] - dval(eps);
+ for(i = 0;;) {
+ L = dval(d);
+ dval(d) -= L;
+ *s++ = '0' + (int)L;
+ if (dval(d) < dval(eps)) {
+ goto ret1;
+ }
+ if (1. - dval(d) < dval(eps)) {
+ goto bump_up;
+ }
+ if (++i >= ilim) {
+ break;
+ }
+ dval(eps) *= 10.;
+ dval(d) *= 10.;
+ }
+ }
+ else {
+#endif
+ /* Generate ilim digits, then fix them up. */
+ dval(eps) *= tens[ilim-1];
+ for(i = 1;; i++, dval(d) *= 10.) {
+ L = (Long)(dval(d));
+ if (!(dval(d) -= L)) {
+ ilim = i;
+ }
+ *s++ = '0' + (int)L;
+ if (i == ilim) {
+ if (dval(d) > 0.5 + dval(eps)) {
+ goto bump_up;
+ }
+ else if (dval(d) < 0.5 - dval(eps)) {
+ while(*--s == '0');
+ s++;
+ goto ret1;
+ }
+ break;
+ }
+ }
#ifndef No_leftright
- }
-#endif
- fast_failed:
- s = s0;
- dval(d) = dval(d2);
- k = k0;
- ilim = ilim0;
- }
-
- /* Do we have a "small" integer? */
-
- if (be >= 0 && k <= Int_max) {
- /* Yes. */
- ds = tens[k];
- if (ndigits < 0 && ilim <= 0) {
- S = mhi = 0;
- if (ilim < 0 || dval(d) <= 5*ds)
- goto no_digits;
- goto one_digit;
- }
- for(i = 1; i <= k+1; i++, dval(d) *= 10.) {
- L = (Long)(dval(d) / ds);
- dval(d) -= L*ds;
+ }
+#endif
+fast_failed:
+ s = s0;
+ dval(d) = dval(d2);
+ k = k0;
+ ilim = ilim0;
+}
+
+/* Do we have a "small" integer? */
+
+if (be >= 0 && k <= Int_max) {
+ /* Yes. */
+ ds = tens[k];
+ if (ndigits < 0 && ilim <= 0) {
+ S = mhi = 0;
+ if (ilim < 0 || dval(d) <= 5*ds) {
+ goto no_digits;
+ }
+ goto one_digit;
+ }
+ for(i = 1; i <= k+1; i++, dval(d) *= 10.) {
+ L = (Long)(dval(d) / ds);
+ dval(d) -= L*ds;
#ifdef Check_FLT_ROUNDS
- /* If FLT_ROUNDS == 2, L will usually be high by 1 */
- if (dval(d) < 0) {
- L--;
- dval(d) += ds;
- }
-#endif
- *s++ = '0' + (int)L;
- if (!dval(d)) {
+ /* If FLT_ROUNDS == 2, L will usually be high by 1 */
+ if (dval(d) < 0) {
+ L--;
+ dval(d) += ds;
+ }
+#endif
+ *s++ = '0' + (int)L;
+ if (!dval(d)) {
#ifdef SET_INEXACT
- inexact = 0;
+ inexact = 0;
#endif
- break;
- }
- if (i == ilim) {
+ break;
+ }
+ if (i == ilim) {
#ifdef Honor_FLT_ROUNDS
- if (mode > 1)
- switch(rounding) {
- case 0: goto ret1;
- case 2: goto bump_up;
- }
-#endif
- dval(d) += dval(d);
- if (dval(d) > ds || dval(d) == ds && L & 1) {
- bump_up:
- while(*--s == '9')
- if (s == s0) {
- k++;
- *s = '0';
- break;
- }
- ++*s++;
- }
- break;
- }
- }
- goto ret1;
- }
-
- m2 = b2;
- m5 = b5;
- mhi = mlo = 0;
- if (leftright) {
- i =
+ if (mode > 1)
+ switch(rounding) {
+ case 0: goto ret1;
+ case 2: goto bump_up;
+ }
+#endif
+ dval(d) += dval(d);
+ if (dval(d) > ds || dval(d) == ds && L & 1) {
+bump_up:
+ while(*--s == '9')
+ if (s == s0) {
+ k++;
+ *s = '0';
+ break;
+ }
+ ++*s++;
+ }
+ break;
+ }
+ }
+ goto ret1;
+}
+
+m2 = b2;
+m5 = b5;
+mhi = mlo = 0;
+if (leftright) {
+ i =
#ifndef Sudden_Underflow
- denorm ? be + (Bias + (P-1) - 1 + 1) :
+ denorm ? be + (Bias + (P-1) - 1 + 1) :
#endif
#ifdef IBM
- 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
-#else
- 1 + P - bbits;
-#endif
- b2 += i;
- s2 += i;
- mhi = i2b(1);
- }
- if (m2 > 0 && s2 > 0) {
- i = m2 < s2 ? m2 : s2;
- b2 -= i;
- m2 -= i;
- s2 -= i;
- }
- if (b5 > 0) {
- if (leftright) {
- if (m5 > 0) {
- mhi = pow5mult(mhi, m5);
- b1 = mult(mhi, b);
- Bfree(b);
- b = b1;
- }
- if (j = b5 - m5)
- b = pow5mult(b, j);
- }
- else
- b = pow5mult(b, b5);
- }
- S = i2b(1);
- if (s5 > 0)
- S = pow5mult(S, s5);
-
- /* Check for special case that d is a normalized power of 2. */
-
- spec_case = 0;
- if ((mode < 2 || leftright)
+ 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
+#else
+ 1 + P - bbits;
+#endif
+ b2 += i;
+ s2 += i;
+ mhi = i2b(1);
+}
+if (m2 > 0 && s2 > 0) {
+ i = m2 < s2 ? m2 : s2;
+ b2 -= i;
+ m2 -= i;
+ s2 -= i;
+}
+if (b5 > 0) {
+ if (leftright) {
+ if (m5 > 0) {
+ mhi = pow5mult(mhi, m5);
+ b1 = mult(mhi, b);
+ Bfree(b);
+ b = b1;
+ }
+ if (j = b5 - m5) {
+ b = pow5mult(b, j);
+ }
+ }
+ else {
+ b = pow5mult(b, b5);
+ }
+}
+S = i2b(1);
+if (s5 > 0) {
+ S = pow5mult(S, s5);
+}
+
+/* Check for special case that d is a normalized power of 2. */
+
+spec_case = 0;
+if ((mode < 2 || leftright)
#ifdef Honor_FLT_ROUNDS
- && rounding == 1
+ && rounding == 1
#endif
- ) {
- if (!word1(d) && !(word0(d) & Bndry_mask)
+ ) {
+ if (!word1(d) && !(word0(d) & Bndry_mask)
#ifndef Sudden_Underflow
- && word0(d) & (Exp_mask & ~Exp_msk1)
-#endif
- ) {
- /* The special case */
- b2 += Log2P;
- s2 += Log2P;
- spec_case = 1;
- }
- }
-
- /* Arrange for convenient computation of quotients:
- * shift left if necessary so divisor has 4 leading 0 bits.
- *
- * Perhaps we should just compute leading 28 bits of S once
- * and for all and pass them and a shift to quorem, so it
- * can do shifts and ors to compute the numerator for q.
- */
+ && word0(d) & (Exp_mask & ~Exp_msk1)
+#endif
+ ) {
+ /* The special case */
+ b2 += Log2P;
+ s2 += Log2P;
+ spec_case = 1;
+ }
+}
+
+/* Arrange for convenient computation of quotients:
+ * shift left if necessary so divisor has 4 leading 0 bits.
+ *
+ * Perhaps we should just compute leading 28 bits of S once
+ * and for all and pass them and a shift to quorem, so it
+ * can do shifts and ors to compute the numerator for q.
+ */
#ifdef Pack_32
- if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f)
- i = 32 - i;
-#else
- if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf)
- i = 16 - i;
-#endif
- if (i > 4) {
- i -= 4;
- b2 += i;
- m2 += i;
- s2 += i;
- }
- else if (i < 4) {
- i += 28;
- b2 += i;
- m2 += i;
- s2 += i;
- }
- if (b2 > 0)
- b = lshift(b, b2);
- if (s2 > 0)
- S = lshift(S, s2);
- if (k_check) {
- if (cmp(b,S) < 0) {
- k--;
- b = multadd(b, 10, 0); /* we botched the k estimate */
- if (leftright)
- mhi = multadd(mhi, 10, 0);
- ilim = ilim1;
- }
- }
- if (ilim <= 0 && (mode == 3 || mode == 5)) {
- if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
- /* no digits, fcvt style */
- no_digits:
- k = -1 - ndigits;
- goto ret;
- }
- one_digit:
- *s++ = '1';
- k++;
- goto ret;
- }
- if (leftright) {
- if (m2 > 0)
- mhi = lshift(mhi, m2);
-
- /* Compute mlo -- check for special case
- * that d is a normalized power of 2.
- */
-
- mlo = mhi;
- if (spec_case) {
- mhi = Balloc(mhi->k);
- Bcopy(mhi, mlo);
- mhi = lshift(mhi, Log2P);
- }
-
- for(i = 1;;i++) {
- dig = quorem(b,S) + '0';
- /* Do we yet have the shortest decimal string
- * that will round to d?
- */
- j = cmp(b, mlo);
- delta = diff(S, mhi);
- j1 = delta->sign ? 1 : cmp(b, delta);
- Bfree(delta);
+if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f) {
+ i = 32 - i;
+}
+#else
+if (i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf) {
+ i = 16 - i;
+}
+#endif
+if (i > 4) {
+ i -= 4;
+ b2 += i;
+ m2 += i;
+ s2 += i;
+}
+else if (i < 4) {
+ i += 28;
+ b2 += i;
+ m2 += i;
+ s2 += i;
+}
+if (b2 > 0) {
+ b = lshift(b, b2);
+}
+if (s2 > 0) {
+ S = lshift(S, s2);
+}
+if (k_check) {
+ if (cmp(b,S) < 0) {
+ k--;
+ b = multadd(b, 10, 0); /* we botched the k estimate */
+ if (leftright) {
+ mhi = multadd(mhi, 10, 0);
+ }
+ ilim = ilim1;
+ }
+}
+if (ilim <= 0 && (mode == 3 || mode == 5)) {
+ if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
+ /* no digits, fcvt style */
+no_digits:
+ k = -1 - ndigits;
+ goto ret;
+ }
+one_digit:
+ *s++ = '1';
+ k++;
+ goto ret;
+}
+if (leftright) {
+ if (m2 > 0) {
+ mhi = lshift(mhi, m2);
+ }
+
+ /* Compute mlo -- check for special case
+ * that d is a normalized power of 2.
+ */
+
+ mlo = mhi;
+ if (spec_case) {
+ mhi = Balloc(mhi->k);
+ Bcopy(mhi, mlo);
+ mhi = lshift(mhi, Log2P);
+ }
+
+ for(i = 1;; i++) {
+ dig = quorem(b,S) + '0';
+ /* Do we yet have the shortest decimal string
+ * that will round to d?
+ */
+ j = cmp(b, mlo);
+ delta = diff(S, mhi);
+ j1 = delta->sign ? 1 : cmp(b, delta);
+ Bfree(delta);
#ifndef ROUND_BIASED
- if (j1 == 0 && mode != 1 && !(word1(d) & 1)
+ if (j1 == 0 && mode != 1 && !(word1(d) & 1)
#ifdef Honor_FLT_ROUNDS
- && rounding >= 1
+ && rounding >= 1
#endif
- ) {
- if (dig == '9')
- goto round_9_up;
- if (j > 0)
- dig++;
+ ) {
+ if (dig == '9') {
+ goto round_9_up;
+ }
+ if (j > 0) {
+ dig++;
+ }
#ifdef SET_INEXACT
- else if (!b->x[0] && b->wds <= 1)
- inexact = 0;
+ else if (!b->x[0] && b->wds <= 1) {
+ inexact = 0;
+ }
#endif
- *s++ = dig;
- goto ret;
- }
+ *s++ = dig;
+ goto ret;
+ }
#endif
- if (j < 0 || j == 0 && mode != 1
+ if (j < 0 || j == 0 && mode != 1
#ifndef ROUND_BIASED
- && !(word1(d) & 1)
+ && !(word1(d) & 1)
#endif
- ) {
- if (!b->x[0] && b->wds <= 1) {
+ ) {
+ if (!b->x[0] && b->wds <= 1) {
#ifdef SET_INEXACT
- inexact = 0;
+ inexact = 0;
#endif
- goto accept_dig;
- }
+ goto accept_dig;
+ }
#ifdef Honor_FLT_ROUNDS
- if (mode > 1)
- switch(rounding) {
- case 0: goto accept_dig;
- case 2: goto keep_dig;
- }
+ if (mode > 1)
+ switch(rounding) {
+ case 0: goto accept_dig;
+ case 2: goto keep_dig;
+ }
#endif /*Honor_FLT_ROUNDS*/
- if (j1 > 0) {
- b = lshift(b, 1);
- j1 = cmp(b, S);
- if ((j1 > 0 || j1 == 0 && dig & 1)
- && dig++ == '9')
- goto round_9_up;
- }
- accept_dig:
- *s++ = dig;
- goto ret;
- }
- if (j1 > 0) {
+ if (j1 > 0) {
+ b = lshift(b, 1);
+ j1 = cmp(b, S);
+ if ((j1 > 0 || j1 == 0 && dig & 1)
+ && dig++ == '9') {
+ goto round_9_up;
+ }
+ }
+accept_dig:
+ *s++ = dig;
+ goto ret;
+ }
+ if (j1 > 0) {
#ifdef Honor_FLT_ROUNDS
- if (!rounding)
- goto accept_dig;
-#endif
- if (dig == '9') { /* possible if i == 1 */
- round_9_up:
- *s++ = '9';
- goto roundoff;
- }
- *s++ = dig + 1;
- goto ret;
- }
+ if (!rounding) {
+ goto accept_dig;
+ }
+#endif
+ if (dig == '9') { /* possible if i == 1 */
+round_9_up:
+ *s++ = '9';
+ goto roundoff;
+ }
+ *s++ = dig + 1;
+ goto ret;
+ }
#ifdef Honor_FLT_ROUNDS
- keep_dig:
-#endif
- *s++ = dig;
- if (i == ilim)
- break;
- b = multadd(b, 10, 0);
- if (mlo == mhi)
- mlo = mhi = multadd(mhi, 10, 0);
- else {
- mlo = multadd(mlo, 10, 0);
- mhi = multadd(mhi, 10, 0);
- }
- }
- }
- else
- for(i = 1;; i++) {
- *s++ = dig = quorem(b,S) + '0';
- if (!b->x[0] && b->wds <= 1) {
+keep_dig:
+#endif
+ *s++ = dig;
+ if (i == ilim) {
+ break;
+ }
+ b = multadd(b, 10, 0);
+ if (mlo == mhi) {
+ mlo = mhi = multadd(mhi, 10, 0);
+ }
+ else {
+ mlo = multadd(mlo, 10, 0);
+ mhi = multadd(mhi, 10, 0);
+ }
+ }
+}
+else
+ for(i = 1;; i++) {
+ *s++ = dig = quorem(b,S) + '0';
+ if (!b->x[0] && b->wds <= 1) {
#ifdef SET_INEXACT
- inexact = 0;
+ inexact = 0;
#endif
- goto ret;
- }
- if (i >= ilim)
- break;
- b = multadd(b, 10, 0);
- }
+ goto ret;
+ }
+ if (i >= ilim) {
+ break;
+ }
+ b = multadd(b, 10, 0);
+ }
- /* Round off last digit */
+/* Round off last digit */
#ifdef Honor_FLT_ROUNDS
- switch(rounding) {
- case 0: goto trimzeros;
- case 2: goto roundoff;
- }
-#endif
- b = lshift(b, 1);
- j = cmp(b, S);
- if (j > 0 || j == 0 && dig & 1) {
- roundoff:
- while(*--s == '9')
- if (s == s0) {
- k++;
- *s++ = '1';
- goto ret;
- }
- ++*s++;
- }
- else {
+switch(rounding) {
+case 0: goto trimzeros;
+case 2: goto roundoff;
+}
+#endif
+b = lshift(b, 1);
+j = cmp(b, S);
+if (j > 0 || j == 0 && dig & 1) {
+roundoff:
+ while(*--s == '9')
+ if (s == s0) {
+ k++;
+ *s++ = '1';
+ goto ret;
+ }
+ ++*s++;
+}
+else {
#ifdef Honor_FLT_ROUNDS
- trimzeros:
-#endif
- while(*--s == '0');
- s++;
- }
- ret:
- Bfree(S);
- if (mhi) {
- if (mlo && mlo != mhi)
- Bfree(mlo);
- Bfree(mhi);
- }
- ret1:
+trimzeros:
+#endif
+ while(*--s == '0');
+ s++;
+}
+ret:
+Bfree(S);
+if (mhi) {
+ if (mlo && mlo != mhi) {
+ Bfree(mlo);
+ }
+ Bfree(mhi);
+}
+ret1:
#ifdef SET_INEXACT
- if (inexact) {
- if (!oldinexact) {
- word0(d) = Exp_1 + (70 << Exp_shift);
- word1(d) = 0;
- dval(d) += 1.;
- }
- }
- else if (!oldinexact)
- clear_inexact();
-#endif
- Bfree(b);
- *s = 0;
- *decpt = k + 1;
- if (rve)
- *rve = s;
- return s0;
- }
+if (inexact) {
+ if (!oldinexact) {
+ word0(d) = Exp_1 + (70 << Exp_shift);
+ word1(d) = 0;
+ dval(d) += 1.;
+ }
+}
+else if (!oldinexact) {
+ clear_inexact();
+}
+#endif
+Bfree(b);
+*s = 0;
+*decpt = k + 1;
+if (rve) {
+ *rve = s;
+}
+return s0;
+}
#ifdef __cplusplus
}
#endif
PR_IMPLEMENT(PRStatus)
PR_dtoa(PRFloat64 d, PRIntn mode, PRIntn ndigits,
- PRIntn *decpt, PRIntn *sign, char **rve, char *buf, PRSize bufsize)
+ PRIntn *decpt, PRIntn *sign, char **rve, char *buf, PRSize bufsize)
{
char *result;
PRSize resultlen;
PRStatus rv = PR_FAILURE;
- if (!_pr_initialized) _PR_ImplicitInitialization();
+ if (!_pr_initialized) {
+ _PR_ImplicitInitialization();
+ }
if (mode < 0 || mode > 3) {
PR_SetError(PR_INVALID_ARGUMENT_ERROR, 0);
@@ -3424,7 +3610,7 @@ PR_dtoa(PRFloat64 d, PRIntn mode, PRIntn ndigits,
rv = PR_SUCCESS;
}
freedtoa(result);
- return rv;
+ return rv;
}
/*
@@ -3432,7 +3618,7 @@ PR_dtoa(PRFloat64 d, PRIntn mode, PRIntn ndigits,
** prcsn - number of digits of precision to generate floating
** point value.
** This should be reparameterized so that you can send in a
-** prcn for the positive and negative ranges. For now,
+** prcn for the positive and negative ranges. For now,
** conform to the ECMA JavaScript spec which says numbers
** less than 1e-6 are in scientific notation.
** Also, the ECMA spec says that there should always be a
@@ -3456,7 +3642,7 @@ PR_cnvtf(char *buf, int bufsz, int prcsn, double dfval)
}
/* XXX Why use mode 1? */
if (PR_dtoa(dval(fval),1,prcsn,&decpt,&sign,&endnum,num,bufsz)
- == PR_FAILURE) {
+ == PR_FAILURE) {
buf[0] = '\0';
goto done;
}