Adding upstream version 115.7.0esr.upstream/115.7.0esrupstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 1078 insertions, 0 deletions

diff --git a/js/src/dtoa.c b/js/src/dtoa.c
new file mode 100644
index 0000000000..762d1c1712
--- /dev/null
+++ b/js/src/dtoa.c
@@ -0,0 +1,1078 @@
+/* -*- Mode: C; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*- */
+/****************************************************************
+ *
+ * The author of this software is David M. Gay.
+ *
+ * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
+ *
+ * Permission to use, copy, modify, and distribute this software for any
+ * purpose without fee is hereby granted, provided that this entire notice
+ * is included in all copies of any software which is or includes a copy
+ * or modification of this software and in all copies of the supporting
+ * documentation for such software.
+ *
+ * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
+ * WARRANTY.  IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
+ * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
+ * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
+ *
+ ***************************************************************/
+
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * 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);
+ * 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
+ * file.
+ */
+
+/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
+ *
+ * This strtod returns a nearest machine number to the input decimal
+ * string (or sets errno to ERANGE).  With IEEE arithmetic, ties are
+ * broken by the IEEE round-even rule.  Otherwise ties are broken by
+ * biased rounding (add half and chop).
+ *
+ * Inspired loosely by William D. Clinger's paper "How to Read Floating
+ * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
+ *
+ * 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).
+ */
+
+/*
+ * #define IEEE_8087 for IEEE-arithmetic machines where the least
+ *	significant byte has the lowest address.
+ * #define IEEE_MC68k for IEEE-arithmetic machines where the most
+ *	significant byte has the lowest address.
+ * #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.
+ * #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ *	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.
+ * #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.
+ * #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.
+ * #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.
+ * #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 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.  (Unless you #define
+ *	NO_GLOBAL_STATE and call destroydtoa, 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.
+ * #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.
+ * #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.
+ * #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).
+ * #define NO_ERRNO if strtod should not assign errno = ERANGE when
+ *	the result overflows to +-Infinity or underflows to 0.
+ * #define NO_GLOBAL_STATE to avoid defining any non-const global or
+ *	static variables. Instead the necessary state is stored in an
+ *	opaque struct, DtoaState, a pointer to which must be passed to
+ *	every entry point. Two new functions are added to the API:
+ *		DtoaState *newdtoa(void);
+ *		void destroydtoa(DtoaState *);
+ */
+
+#ifndef Long
+#define Long long
+#endif
+#ifndef ULong
+typedef unsigned Long ULong;
+#endif
+
+#ifdef DEBUG
+#include <stdio.h>
+#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
+#endif
+
+#include <stdlib.h>
+#include <string.h>
+
+#ifdef USE_LOCALE
+#include <locale.h>
+#endif
+
+#ifdef MALLOC
+#ifdef KR_headers
+extern char *MALLOC();
+#else
+extern void *MALLOC(size_t);
+#endif
+#else
+#define MALLOC malloc
+#endif
+
+#ifndef FREE
+#define FREE free
+#endif
+
+#ifndef Omit_Private_Memory
+#ifndef PRIVATE_MEM
+#define PRIVATE_MEM 2304
+#endif
+#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
+#endif
+
+#undef IEEE_Arith
+#undef Avoid_Underflow
+#ifdef IEEE_MC68k
+#define IEEE_Arith
+#endif
+#ifdef IEEE_8087
+#define IEEE_Arith
+#endif
+
+#include <errno.h>
+
+#ifdef Bad_float_h
+
+#ifdef IEEE_Arith
+#define DBL_DIG 15
+#define DBL_MAX_10_EXP 308
+#define DBL_MAX_EXP 1024
+#define FLT_RADIX 2
+#endif /*IEEE_Arith*/
+
+#ifdef IBM
+#define DBL_DIG 16
+#define DBL_MAX_10_EXP 75
+#define DBL_MAX_EXP 63
+#define FLT_RADIX 16
+#define DBL_MAX 7.2370055773322621e+75
+#endif
+
+#ifdef VAX
+#define DBL_DIG 16
+#define DBL_MAX_10_EXP 38
+#define DBL_MAX_EXP 127
+#define FLT_RADIX 2
+#define DBL_MAX 1.7014118346046923e+38
+#endif
+
+#ifndef LONG_MAX
+#define LONG_MAX 2147483647
+#endif
+
+#else /* ifndef Bad_float_h */
+#include <float.h>
+#endif /* Bad_float_h */
+
+#ifndef __MATH_H__
+#include <math.h>
+#endif
+
+#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
+#error "Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined."
+#endif
+
+typedef union { double d; ULong L[2]; } U;
+
+#define dval(x) ((x).d)
+#ifdef IEEE_8087
+#define word0(x) ((x).L[1])
+#define word1(x) ((x).L[0])
+#else
+#define word0(x) ((x).L[0])
+#define word1(x) ((x).L[1])
+#endif
+
+/* The following definition of Storeinc is appropriate for MIPS processors.
+ * An alternative that might be better on some machines is
+ * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
+ */
+#if defined(IEEE_8087) + defined(VAX)
+#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
+((unsigned short *)a)[0] = (unsigned short)c, a++)
+#else
+#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
+((unsigned short *)a)[1] = (unsigned short)c, a++)
+#endif
+
+/* #define P DBL_MANT_DIG */
+/* Ten_pmax = floor(P*log(2)/log(5)) */
+/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
+/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
+/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
+
+#ifdef IEEE_Arith
+#define Exp_shift  20
+#define Exp_shift1 20
+#define Exp_msk1    0x100000
+#define Exp_msk11   0x100000
+#define Exp_mask  0x7ff00000
+#define P 53
+#define Bias 1023
+#define Emin (-1022)
+#define Exp_1  0x3ff00000
+#define Exp_11 0x3ff00000
+#define Ebits 11
+#define Frac_mask  0xfffff
+#define Frac_mask1 0xfffff
+#define Ten_pmax 22
+#define Bletch 0x10
+#define Bndry_mask  0xfffff
+#define Bndry_mask1 0xfffff
+#define LSB 1
+#define Sign_bit 0x80000000
+#define Log2P 1
+#define Tiny0 0
+#define Tiny1 1
+#define Quick_max 14
+#define Int_max 14
+#ifndef NO_IEEE_Scale
+#define Avoid_Underflow
+#ifdef Flush_Denorm	/* debugging option */
+#undef Sudden_Underflow
+#endif
+#endif
+
+#ifndef Flt_Rounds
+#ifdef FLT_ROUNDS
+#define Flt_Rounds FLT_ROUNDS
+#else
+#define Flt_Rounds 1
+#endif
+#endif /*Flt_Rounds*/
+
+#ifdef Honor_FLT_ROUNDS
+#define Rounding rounding
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
+#else
+#define Rounding Flt_Rounds
+#endif
+
+#else /* ifndef IEEE_Arith */
+#undef Check_FLT_ROUNDS
+#undef Honor_FLT_ROUNDS
+#undef SET_INEXACT
+#undef  Sudden_Underflow
+#define Sudden_Underflow
+#ifdef IBM
+#undef Flt_Rounds
+#define Flt_Rounds 0
+#define Exp_shift  24
+#define Exp_shift1 24
+#define Exp_msk1   0x1000000
+#define Exp_msk11  0x1000000
+#define Exp_mask  0x7f000000
+#define P 14
+#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 Frac_mask  0xffffff
+#define Frac_mask1 0xffffff
+#define Bletch 4
+#define Ten_pmax 22
+#define Bndry_mask  0xefffff
+#define Bndry_mask1 0xffffff
+#define LSB 1
+#define Sign_bit 0x80000000
+#define Log2P 4
+#define Tiny0 0x100000
+#define Tiny1 0
+#define Quick_max 14
+#define Int_max 15
+#else /* VAX */
+#undef Flt_Rounds
+#define Flt_Rounds 1
+#define Exp_shift  23
+#define Exp_shift1 7
+#define Exp_msk1    0x80
+#define Exp_msk11   0x800000
+#define Exp_mask  0x7f80
+#define P 56
+#define Bias 129
+#define Exp_1  0x40800000
+#define Exp_11 0x4080
+#define Ebits 8
+#define Frac_mask  0x7fffff
+#define Frac_mask1 0xffff007f
+#define Ten_pmax 24
+#define Bletch 2
+#define Bndry_mask  0xffff007f
+#define Bndry_mask1 0xffff007f
+#define LSB 0x10000
+#define Sign_bit 0x8000
+#define Log2P 1
+#define Tiny0 0x80
+#define Tiny1 0
+#define Quick_max 15
+#define Int_max 15
+#endif /* IBM, VAX */
+#endif /* IEEE_Arith */
+
+#ifndef IEEE_Arith
+#define ROUND_BIASED
+#endif
+
+#ifdef RND_PRODQUOT
+#define rounded_product(a,b) a = rnd_prod(a, b)
+#define rounded_quotient(a,b) a = rnd_quot(a, b)
+#ifdef KR_headers
+extern double rnd_prod(), rnd_quot();
+#else
+extern double rnd_prod(double, double), rnd_quot(double, double);
+#endif
+#else
+#define rounded_product(a,b) a *= b
+#define rounded_quotient(a,b) a /= b
+#endif
+
+#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
+#define Big1 0xffffffff
+
+#ifndef Pack_32
+#define Pack_32
+#endif
+
+#ifdef KR_headers
+#define FFFFFFFF ((((unsigned long)0xffff)<<16)|(unsigned long)0xffff)
+#else
+#define FFFFFFFF 0xffffffffUL
+#endif
+
+#ifdef NO_LONG_LONG
+#undef ULLong
+#ifdef Just_16
+#undef Pack_32
+/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
+ * This makes some inner loops simpler and sometimes saves work
+ * during multiplications, but it often seems to make things slightly
+ * slower.  Hence the default is now to store 32 bits per Long.
+ */
+#endif
+#else	/* long long available */
+#ifndef Llong
+#define Llong long long
+#endif
+#ifndef ULLong
+#define ULLong unsigned Llong
+#endif
+#endif /* NO_LONG_LONG */
+
+#ifndef MULTIPLE_THREADS
+#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];
+	};
+
+ typedef struct Bigint Bigint;
+
+#ifdef NO_GLOBAL_STATE
+#ifdef MULTIPLE_THREADS
+#error "cannot have both NO_GLOBAL_STATE and MULTIPLE_THREADS"
+#endif
+ struct
+DtoaState {
+#define DECLARE_GLOBAL_STATE  /* nothing */
+#else
+#define DECLARE_GLOBAL_STATE static
+#endif
+
+	DECLARE_GLOBAL_STATE Bigint *freelist[Kmax+1];
+	DECLARE_GLOBAL_STATE Bigint *p5s;
+#ifndef Omit_Private_Memory
+	DECLARE_GLOBAL_STATE double private_mem[PRIVATE_mem];
+	DECLARE_GLOBAL_STATE double *pmem_next
+#ifndef NO_GLOBAL_STATE
+	                                       = private_mem
+#endif
+	                                                    ;
+#endif
+#ifdef NO_GLOBAL_STATE
+	};
+ typedef struct DtoaState DtoaState;
+#ifdef KR_headers
+#define STATE_PARAM state,
+#define STATE_PARAM_DECL DtoaState *state;
+#else
+#define STATE_PARAM DtoaState *state,
+#endif
+#define PASS_STATE state,
+#define GET_STATE(field) (state->field)
+
+ static DtoaState *
+newdtoa(void)
+{
+	DtoaState *state = (DtoaState *) MALLOC(sizeof(DtoaState));
+	if (state) {
+		memset(state, 0, sizeof(DtoaState));
+#ifndef Omit_Private_Memory
+		state->pmem_next = state->private_mem;
+#endif
+		}
+	return state;
+}
+
+ static void
+destroydtoa
+#ifdef KR_headers
+	(state) STATE_PARAM_DECL
+#else
+	(DtoaState *state)
+#endif
+{
+	int i;
+	Bigint *v, *next;
+
+	for (i = 0; i <= Kmax; i++) {
+		for (v = GET_STATE(freelist)[i]; v; v = next) {
+			next = v->next;
+#ifndef Omit_Private_Memory
+			if ((double*)v < GET_STATE(private_mem) ||
+			    (double*)v >= GET_STATE(private_mem) + PRIVATE_mem)
+#endif
+				FREE((void*)v);
+			}
+		}
+#ifdef Omit_Private_Memory
+	Bigint* p5 = GET_STATE(p5s);
+	while (p5) {
+		Bigint* tmp = p5;
+		p5 = p5->next;
+		FREE(tmp);
+		}
+#endif
+	FREE((void *)state);
+}
+
+#else
+#define STATE_PARAM      /* nothing */
+#define STATE_PARAM_DECL /* nothing */
+#define PASS_STATE       /* nothing */
+#define GET_STATE(name) name
+#endif
+
+ static Bigint *
+Balloc
+#ifdef KR_headers
+	(STATE_PARAM k) STATE_PARAM_DECL int k;
+#else
+	(STATE_PARAM int k)
+#endif
+{
+	int x;
+	Bigint *rv;
+#ifndef Omit_Private_Memory
+	size_t 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 = GET_STATE(freelist)[k]))
+		GET_STATE(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 && GET_STATE(pmem_next) - GET_STATE(private_mem) + len <= PRIVATE_mem) {
+			rv = (Bigint*)GET_STATE(pmem_next);
+			GET_STATE(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
+	(STATE_PARAM v) STATE_PARAM_DECL Bigint *v;
+#else
+	(STATE_PARAM Bigint *v)
+#endif
+{
+	if (v) {
+		if (v->k > Kmax)
+			FREE((void*)v);
+		else {
+			ACQUIRE_DTOA_LOCK(0);
+			v->next = GET_STATE(freelist)[v->k];
+			GET_STATE(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 *
+multadd
+#ifdef KR_headers
+	(STATE_PARAM b, m, a) STATE_PARAM_DECL Bigint *b; int m, a;
+#else
+	(STATE_PARAM Bigint *b, int m, int a)	/* multiply by m and add a */
+#endif
+{
+	int i, wds;
+#ifdef ULLong
+	ULong *x;
+	ULLong carry, y;
+#else
+	ULong carry, *x, y;
+#ifdef Pack_32
+	ULong xi, z;
+#endif
+#endif
+	Bigint *b1;
+
+	wds = b->wds;
+	x = b->x;
+	i = 0;
+	carry = a;
+	do {
+#ifdef ULLong
+		y = *x * (ULLong)m + carry;
+		carry = y >> 32;
+		*x++ = (ULong) 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(PASS_STATE b->k+1);
+			Bcopy(b1, b);
+			Bfree(PASS_STATE b);
+			b = b1;
+			}
+		b->x[wds++] = (ULong) carry;
+		b->wds = wds;
+		}
+	return b;
+	}
+
+ static int
+hi0bits
+#ifdef KR_headers
+	(x) ULong x;
+#else
+	(ULong x)
+#endif
+{
+	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;
+	}
+
+ static int
+lo0bits
+#ifdef KR_headers
+	(y) ULong *y;
+#else
+	(ULong *y)
+#endif
+{
+	int k;
+	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;
+	return k;
+	}
+
+ static Bigint *
+i2b
+#ifdef KR_headers
+	(STATE_PARAM i) STATE_PARAM_DECL int i;
+#else
+	(STATE_PARAM int i)
+#endif
+{
+	Bigint *b;
+
+	b = Balloc(PASS_STATE 1);
+	b->x[0] = i;
+	b->wds = 1;
+	return b;
+	}
+
+ static Bigint *
+lshift
+#ifdef KR_headers
+	(STATE_PARAM b, k) STATE_PARAM_DECL Bigint *b; int k;
+#else
+	(STATE_PARAM Bigint *b, int k)
+#endif
+{
+	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(PASS_STATE 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(PASS_STATE b);
+	return b1;
+	}
+
+ static int
+cmp
+#ifdef KR_headers
+	(a, b) Bigint *a, *b;
+#else
+	(Bigint *a, Bigint *b)
+#endif
+{
+	ULong *xa, *xa0, *xb, *xb0;
+	int i, j;
+
+	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 *
+diff
+#ifdef KR_headers
+	(STATE_PARAM a, b) STATE_PARAM_DECL Bigint *a, *b;
+#else
+	(STATE_PARAM Bigint *a, Bigint *b)
+#endif
+{
+	Bigint *c;
+	int i, wa, wb;
+	ULong *xa, *xae, *xb, *xbe, *xc;
+#ifdef ULLong
+	ULLong borrow, y;
+#else
+	ULong borrow, y;
+#ifdef Pack_32
+	ULong z;
+#endif
+#endif
+
+	i = cmp(a,b);
+	if (!i) {
+		c = Balloc(PASS_STATE 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(PASS_STATE 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++ = (ULong) y & FFFFFFFF;
+		}
+		while(xb < xbe);
+	while(xa < xae) {
+		y = *xa++ - borrow;
+		borrow = y >> 32 & (ULong)1;
+		*xc++ = (ULong) 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 Bigint *
+d2b
+#ifdef KR_headers
+	(STATE_PARAM d, e, bits) STATE_PARAM_DECL U d; int *e, *bits;
+#else
+	(STATE_PARAM U d, int *e, int *bits)
+#endif
+{
+	Bigint *b;
+	int de, k;
+	ULong *x, y, z;
+#ifndef Sudden_Underflow
+	int i;
+#endif
+#ifdef VAX
+	ULong d0, d1;
+	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(PASS_STATE 1);
+#else
+	b = Balloc(PASS_STATE 2);
+#endif
+	x = b->x;
+
+	z = d0 & Frac_mask;
+	d0 &= 0x7fffffff;	/* clear sign bit, which we ignore */
+#ifdef Sudden_Underflow
+	de = (int)(d0 >> Exp_shift);
+#ifndef IBM
+	z |= Exp_msk11;
+#endif
+#else
+	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;
+#ifndef Sudden_Underflow
+		i =
+#endif
+		    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 {
+#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;
+#endif
+#ifndef Sudden_Underflow
+	if (de) {
+#endif
+#ifdef IBM
+		*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;
+#endif
+#ifndef Sudden_Underflow
+		}
+	else {
+		*e = de - Bias - (P-1) + 1 + k;
+#ifdef Pack_32
+		*bits = 32*i - hi0bits(x[i-1]);
+#else
+		*bits = (i+2)*16 - hi0bits(x[i]);
+#endif
+		}
+#endif
+	return b;
+	}
+#undef d0
+#undef d1