crypto: GnuPG based MPI lib - header files (part 2)

Adds the multi-precision-integer maths library which was originally taken
from GnuPG and ported to the kernel by (among others) David Howells.
This version is taken from Fedora kernel 2.6.32-71.14.1.el6.
The difference is that checkpatch reported errors and warnings have been fixed.

This library is used to implemenet RSA digital signature verification
used in IMA/EVM integrity protection subsystem.

Due to patch size limitation, the patch is divided into 4 parts.
Signed-off-by: Dmitry Kasatkin <dmitry.kasatkin@intel.com>

include/linux/mpi.h

+/* mpi.h  -  Multi Precision Integers
+ *	Copyright (C) 1994, 1996, 1998, 1999,
+ *                    2000, 2001 Free Software Foundation, Inc.
+ *
+ * This file is part of GNUPG.
+ *
+ * GNUPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GNUPG is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#ifndef G10_MPI_H
+#define G10_MPI_H
+
+#include <linux/types.h>
+
+/* DSI defines */
+
+#define SHA1_DIGEST_LENGTH   20
+
+/*end of DSI defines */
+
+#define BYTES_PER_MPI_LIMB	(BITS_PER_LONG / 8)
+#define BITS_PER_MPI_LIMB	BITS_PER_LONG
+
+typedef unsigned long int mpi_limb_t;
+typedef signed long int mpi_limb_signed_t;
+
+struct gcry_mpi {
+	int alloced;		/* array size (# of allocated limbs) */
+	int nlimbs;		/* number of valid limbs */
+	int nbits;		/* the real number of valid bits (info only) */
+	int sign;		/* indicates a negative number */
+	unsigned flags;		/* bit 0: array must be allocated in secure memory space */
+	/* bit 1: not used */
+	/* bit 2: the limb is a pointer to some m_alloced data */
+	mpi_limb_t *d;		/* array with the limbs */
+};
+
+typedef struct gcry_mpi *MPI;
+
+#define MPI_NULL NULL
+
+#define mpi_get_nlimbs(a)     ((a)->nlimbs)
+#define mpi_is_neg(a)	      ((a)->sign)
+
+/*-- mpiutil.c --*/
+MPI mpi_alloc(unsigned nlimbs);
+MPI mpi_alloc_secure(unsigned nlimbs);
+MPI mpi_alloc_like(MPI a);
+void mpi_free(MPI a);
+int mpi_resize(MPI a, unsigned nlimbs);
+int mpi_copy(MPI *copy, const MPI a);
+void mpi_clear(MPI a);
+int mpi_set(MPI w, MPI u);
+int mpi_set_ui(MPI w, ulong u);
+MPI mpi_alloc_set_ui(unsigned long u);
+void mpi_m_check(MPI a);
+void mpi_swap(MPI a, MPI b);
+
+/*-- mpicoder.c --*/
+MPI do_encode_md(const void *sha_buffer, unsigned nbits);
+MPI mpi_read_from_buffer(const void *buffer, unsigned *ret_nread);
+int mpi_fromstr(MPI val, const char *str);
+u32 mpi_get_keyid(MPI a, u32 *keyid);
+void *mpi_get_buffer(MPI a, unsigned *nbytes, int *sign);
+void *mpi_get_secure_buffer(MPI a, unsigned *nbytes, int *sign);
+int mpi_set_buffer(MPI a, const void *buffer, unsigned nbytes, int sign);
+
+#define log_mpidump g10_log_mpidump
+
+/*-- mpi-add.c --*/
+int mpi_add_ui(MPI w, MPI u, ulong v);
+int mpi_add(MPI w, MPI u, MPI v);
+int mpi_addm(MPI w, MPI u, MPI v, MPI m);
+int mpi_sub_ui(MPI w, MPI u, ulong v);
+int mpi_sub(MPI w, MPI u, MPI v);
+int mpi_subm(MPI w, MPI u, MPI v, MPI m);
+
+/*-- mpi-mul.c --*/
+int mpi_mul_ui(MPI w, MPI u, ulong v);
+int mpi_mul_2exp(MPI w, MPI u, ulong cnt);
+int mpi_mul(MPI w, MPI u, MPI v);
+int mpi_mulm(MPI w, MPI u, MPI v, MPI m);
+
+/*-- mpi-div.c --*/
+ulong mpi_fdiv_r_ui(MPI rem, MPI dividend, ulong divisor);
+int mpi_fdiv_r(MPI rem, MPI dividend, MPI divisor);
+int mpi_fdiv_q(MPI quot, MPI dividend, MPI divisor);
+int mpi_fdiv_qr(MPI quot, MPI rem, MPI dividend, MPI divisor);
+int mpi_tdiv_r(MPI rem, MPI num, MPI den);
+int mpi_tdiv_qr(MPI quot, MPI rem, MPI num, MPI den);
+int mpi_tdiv_q_2exp(MPI w, MPI u, unsigned count);
+int mpi_divisible_ui(const MPI dividend, ulong divisor);
+
+/*-- mpi-gcd.c --*/
+int mpi_gcd(MPI g, const MPI a, const MPI b);
+
+/*-- mpi-pow.c --*/
+int mpi_pow(MPI w, MPI u, MPI v);
+int mpi_powm(MPI res, MPI base, MPI exp, MPI mod);
+
+/*-- mpi-mpow.c --*/
+int mpi_mulpowm(MPI res, MPI *basearray, MPI *exparray, MPI mod);
+
+/*-- mpi-cmp.c --*/
+int mpi_cmp_ui(MPI u, ulong v);
+int mpi_cmp(MPI u, MPI v);
+
+/*-- mpi-scan.c --*/
+int mpi_getbyte(MPI a, unsigned idx);
+void mpi_putbyte(MPI a, unsigned idx, int value);
+unsigned mpi_trailing_zeros(MPI a);
+
+/*-- mpi-bit.c --*/
+void mpi_normalize(MPI a);
+unsigned mpi_get_nbits(MPI a);
+int mpi_test_bit(MPI a, unsigned n);
+int mpi_set_bit(MPI a, unsigned n);
+int mpi_set_highbit(MPI a, unsigned n);
+void mpi_clear_highbit(MPI a, unsigned n);
+void mpi_clear_bit(MPI a, unsigned n);
+int mpi_rshift(MPI x, MPI a, unsigned n);
+
+/*-- mpi-inv.c --*/
+int mpi_invm(MPI x, MPI u, MPI v);
+
+#endif /*G10_MPI_H */

lib/mpi/longlong.h

+/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
+ * Note: I added some stuff for use with gnupg
+ *
+ * Copyright (C) 1991, 1992, 1993, 1994, 1996, 1998,
+ *	2000, 2001, 2002, 2003 Free Software Foundation, Inc.
+ *
+ * This file is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU Library General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or (at your
+ * option) any later version.
+ *
+ * This file is distributed in the hope that it will be useful, but
+ * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+ * or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Library General Public
+ * License for more details.
+ *
+ * You should have received a copy of the GNU Library General Public License
+ * along with this file; see the file COPYING.LIB.  If not, write to
+ * the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+ * MA 02111-1307, USA. */
+
+/* You have to define the following before including this file:
+ *
+ * UWtype -- An unsigned type, default type for operations (typically a "word")
+ * UHWtype -- An unsigned type, at least half the size of UWtype.
+ * UDWtype -- An unsigned type, at least twice as large a UWtype
+ * W_TYPE_SIZE -- size in bits of UWtype
+ *
+ * SItype, USItype -- Signed and unsigned 32 bit types.
+ * DItype, UDItype -- Signed and unsigned 64 bit types.
+ *
+ * On a 32 bit machine UWtype should typically be USItype;
+ * on a 64 bit machine, UWtype should typically be UDItype.
+*/
+
+#define __BITS4 (W_TYPE_SIZE / 4)
+#define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2))
+#define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1))
+#define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2))
+
+/* This is used to make sure no undesirable sharing between different libraries
+	that use this file takes place.  */
+#ifndef __MPN
+#define __MPN(x) __##x
+#endif
+
+/* Define auxiliary asm macros.
+ *
+ * 1) umul_ppmm(high_prod, low_prod, multipler, multiplicand) multiplies two
+ * UWtype integers MULTIPLER and MULTIPLICAND, and generates a two UWtype
+ * word product in HIGH_PROD and LOW_PROD.
+ *
+ * 2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a
+ * UDWtype product.  This is just a variant of umul_ppmm.
+
+ * 3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
+ * denominator) divides a UDWtype, composed by the UWtype integers
+ * HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient
+ * in QUOTIENT and the remainder in REMAINDER.	HIGH_NUMERATOR must be less
+ * than DENOMINATOR for correct operation.  If, in addition, the most
+ * significant bit of DENOMINATOR must be 1, then the pre-processor symbol
+ * UDIV_NEEDS_NORMALIZATION is defined to 1.
+ * 4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
+ * denominator).  Like udiv_qrnnd but the numbers are signed.  The quotient
+ * is rounded towards 0.
+ *
+ * 5) count_leading_zeros(count, x) counts the number of zero-bits from the
+ * msb to the first non-zero bit in the UWtype X.  This is the number of
+ * steps X needs to be shifted left to set the msb.  Undefined for X == 0,
+ * unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value.
+ *
+ * 6) count_trailing_zeros(count, x) like count_leading_zeros, but counts
+ * from the least significant end.
+ *
+ * 7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1,
+ * high_addend_2, low_addend_2) adds two UWtype integers, composed by
+ * HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2
+ * respectively.  The result is placed in HIGH_SUM and LOW_SUM.  Overflow
+ * (i.e. carry out) is not stored anywhere, and is lost.
+ *
+ * 8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend,
+ * high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers,
+ * composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and
+ * LOW_SUBTRAHEND_2 respectively.  The result is placed in HIGH_DIFFERENCE
+ * and LOW_DIFFERENCE.	Overflow (i.e. carry out) is not stored anywhere,
+ * and is lost.
+ *
+ * If any of these macros are left undefined for a particular CPU,
+ * C macros are used.  */
+
+/* The CPUs come in alphabetical order below.
+ *
+ * Please add support for more CPUs here, or improve the current support
+ * for the CPUs below!	*/
+
+#if defined(__GNUC__) && !defined(NO_ASM)
+
+/* We sometimes need to clobber "cc" with gcc2, but that would not be
+	understood by gcc1.	Use cpp to avoid major code duplication.  */
+#if __GNUC__ < 2
+#define __CLOBBER_CC
+#define __AND_CLOBBER_CC
+#else /* __GNUC__ >= 2 */
+#define __CLOBBER_CC : "cc"
+#define __AND_CLOBBER_CC , "cc"
+#endif /* __GNUC__ < 2 */
+
+/***************************************
+	**************  A29K  *****************
+	***************************************/
+#if (defined(__a29k__) || defined(_AM29K)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %1,%4,%5\n" \
+		"addc %0,%2,%3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "%r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %1,%4,%5\n" \
+		"subc %0,%2,%3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+		USItype __m0 = (m0), __m1 = (m1); \
+		__asm__ ("multiplu %0,%1,%2" \
+		: "=r" ((USItype)(xl)) \
+		: "r" (__m0), \
+			"r" (__m1)); \
+		__asm__ ("multmu %0,%1,%2" \
+		: "=r" ((USItype)(xh)) \
+		: "r" (__m0), \
+			"r" (__m1)); \
+} while (0)
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("dividu %0,%3,%4" \
+	: "=r" ((USItype)(q)), \
+		"=q" ((USItype)(r)) \
+	: "1" ((USItype)(n1)), \
+		"r" ((USItype)(n0)), \
+		"r" ((USItype)(d)))
+
+#define count_leading_zeros(count, x) \
+	__asm__ ("clz %0,%1" \
+	: "=r" ((USItype)(count)) \
+	: "r" ((USItype)(x)))
+#define COUNT_LEADING_ZEROS_0 32
+#endif /* __a29k__ */
+
+#if defined(__alpha) && W_TYPE_SIZE == 64
+#define umul_ppmm(ph, pl, m0, m1) \
+do { \
+		UDItype __m0 = (m0), __m1 = (m1); \
+		__asm__ ("umulh %r1,%2,%0" \
+		: "=r" ((UDItype) ph) \
+		: "%rJ" (__m0), \
+			"rI" (__m1)); \
+		(pl) = __m0 * __m1; \
+	} while (0)
+#define UMUL_TIME 46
+#ifndef LONGLONG_STANDALONE
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { UDItype __r; \
+	(q) = __udiv_qrnnd(&__r, (n1), (n0), (d)); \
+	(r) = __r; \
+} while (0)
+extern UDItype __udiv_qrnnd();
+#define UDIV_TIME 220
+#endif /* LONGLONG_STANDALONE */
+#endif /* __alpha */
+
+/***************************************
+	**************  ARM  ******************
+	***************************************/
+#if defined(__arm__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("adds %1, %4, %5\n" \
+		"adc  %0, %2, %3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "%r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subs %1, %4, %5\n" \
+		"sbc  %0, %2, %3" \
+	: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+	: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(bh)), \
+		"r" ((USItype)(al)), \
+		"rI" ((USItype)(bl)))
+#if defined __ARM_ARCH_2__ || defined __ARM_ARCH_3__
+#define umul_ppmm(xh, xl, a, b) \
+	__asm__ ("%@ Inlined umul_ppmm\n" \
+		"mov	%|r0, %2, lsr #16		@ AAAA\n" \
+		"mov	%|r2, %3, lsr #16		@ BBBB\n" \
+		"bic	%|r1, %2, %|r0, lsl #16		@ aaaa\n" \
+		"bic	%0, %3, %|r2, lsl #16		@ bbbb\n" \
+		"mul	%1, %|r1, %|r2			@ aaaa * BBBB\n" \
+		"mul	%|r2, %|r0, %|r2		@ AAAA * BBBB\n" \
+		"mul	%|r1, %0, %|r1			@ aaaa * bbbb\n" \
+		"mul	%0, %|r0, %0			@ AAAA * bbbb\n" \
+		"adds	%|r0, %1, %0			@ central sum\n" \
+		"addcs	%|r2, %|r2, #65536\n" \
+		"adds	%1, %|r1, %|r0, lsl #16\n" \
+		"adc	%0, %|r2, %|r0, lsr #16" \
+	: "=&r" ((USItype)(xh)), \
+		"=r" ((USItype)(xl)) \
+	: "r" ((USItype)(a)), \
+		"r" ((USItype)(b)) \
+	: "r0", "r1", "r2")
+#else
+#define umul_ppmm(xh, xl, a, b) \
+	__asm__ ("%@ Inlined umul_ppmm\n" \
+		"umull %r1, %r0, %r2, %r3" \
+	: "=&r" ((USItype)(xh)), \
+			"=r" ((USItype)(xl)) \
+	: "r" ((USItype)(a)), \
+			"r" ((USItype)(b)) \
+	: "r0", "r1")
+#endif
+#define UMUL_TIME 20
+#define UDIV_TIME 100
+#endif /* __arm__ */
+
+/***************************************
+	**************  CLIPPER  **************
+	***************************************/
+#if defined(__clipper__) && W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+		struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("mulwux %2,%0" \
+	: "=r" (__xx.__ll) \
+	: "%0" ((USItype)(u)), \
+		"r" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define smul_ppmm(w1, w0, u, v) \
+	({union {DItype __ll; \
+		struct {SItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("mulwx %2,%0" \
+	: "=r" (__xx.__ll) \
+	: "%0" ((SItype)(u)), \
+		"r" ((SItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("mulwux %2,%0" \
+	: "=r" (__w) \
+	: "%0" ((USItype)(u)), \
+		"r" ((USItype)(v))); \
+	__w; })
+#endif /* __clipper__ */
+
+/***************************************
+	**************  GMICRO  ***************
+	***************************************/
+#if defined(__gmicro__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add.w %5,%1\n" \
+		"addx %3,%0" \
+	: "=g" ((USItype)(sh)), \
+		"=&g" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+		"g" ((USItype)(bh)), \
+		"%1" ((USItype)(al)), \
+		"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub.w %5,%1\n" \
+		"subx %3,%0" \
+	: "=g" ((USItype)(sh)), \
+		"=&g" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+		"g" ((USItype)(bh)), \
+		"1" ((USItype)(al)), \
+		"g" ((USItype)(bl)))
+#define umul_ppmm(ph, pl, m0, m1) \
+	__asm__ ("mulx %3,%0,%1" \
+	: "=g" ((USItype)(ph)), \
+		"=r" ((USItype)(pl)) \
+	: "%0" ((USItype)(m0)), \
+		"g" ((USItype)(m1)))
+#define udiv_qrnnd(q, r, nh, nl, d) \
+	__asm__ ("divx %4,%0,%1" \
+	: "=g" ((USItype)(q)), \
+		"=r" ((USItype)(r)) \
+	: "1" ((USItype)(nh)), \
+		"0" ((USItype)(nl)), \
+		"g" ((USItype)(d)))
+#define count_leading_zeros(count, x) \
+	__asm__ ("bsch/1 %1,%0" \
+	: "=g" (count) \
+	: "g" ((USItype)(x)), \
+	     "0" ((USItype)0))
+#endif
+
+/***************************************
+	**************  HPPA  *****************
+	***************************************/
+#if defined(__hppa) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %4,%5,%1\n" \
+		   "addc %2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%rM" ((USItype)(ah)), \
+	     "rM" ((USItype)(bh)), \
+	     "%rM" ((USItype)(al)), \
+	     "rM" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %4,%5,%1\n" \
+	   "subb %2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "rM" ((USItype)(ah)), \
+	     "rM" ((USItype)(bh)), \
+	     "rM" ((USItype)(al)), \
+	     "rM" ((USItype)(bl)))
+#if defined(_PA_RISC1_1)
+#define umul_ppmm(wh, wl, u, v) \
+do { \
+	union {UDItype __ll; \
+	struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("xmpyu %1,%2,%0" \
+	: "=*f" (__xx.__ll) \
+	: "*f" ((USItype)(u)), \
+	       "*f" ((USItype)(v))); \
+	(wh) = __xx.__i.__h; \
+	(wl) = __xx.__i.__l; \
+} while (0)
+#define UMUL_TIME 8
+#define UDIV_TIME 60
+#else
+#define UMUL_TIME 40
+#define UDIV_TIME 80
+#endif
+#ifndef LONGLONG_STANDALONE
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { USItype __r; \
+	(q) = __udiv_qrnnd(&__r, (n1), (n0), (d)); \
+	(r) = __r; \
+} while (0)
+extern USItype __udiv_qrnnd();
+#endif /* LONGLONG_STANDALONE */
+#define count_leading_zeros(count, x) \
+do { \
+	USItype __tmp; \
+	__asm__ ( \
+	"ldi             1,%0\n" \
+	"extru,=	%1,15,16,%%r0  ; Bits 31..16 zero?\n" \
+	"extru,tr	%1,15,16,%1    ; No.  Shift down, skip add.\n" \
+	"ldo		16(%0),%0      ; Yes.	Perform add.\n" \
+	"extru,=	%1,23,8,%%r0   ; Bits 15..8 zero?\n" \
+	"extru,tr	%1,23,8,%1     ; No.  Shift down, skip add.\n" \
+	"ldo		8(%0),%0       ; Yes.	Perform add.\n" \
+	"extru,=	%1,27,4,%%r0   ; Bits 7..4 zero?\n" \
+	"extru,tr	%1,27,4,%1     ; No.  Shift down, skip add.\n" \
+	"ldo		4(%0),%0       ; Yes.	Perform add.\n" \
+	"extru,=	%1,29,2,%%r0   ; Bits 3..2 zero?\n" \
+	"extru,tr	%1,29,2,%1     ; No.  Shift down, skip add.\n" \
+	"ldo		2(%0),%0       ; Yes.	Perform add.\n" \
+	"extru		%1,30,1,%1     ; Extract bit 1.\n" \
+	"sub		%0,%1,%0       ; Subtract it.              " \
+	: "=r" (count), "=r" (__tmp) : "1" (x)); \
+} while (0)
+#endif /* hppa */
+
+/***************************************
+	**************  I370  *****************
+	***************************************/
+#if (defined(__i370__) || defined(__mvs__)) && W_TYPE_SIZE == 32
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mr %0,%3" \
+	: "=r" (__xx.__i.__h), \
+	       "=r" (__xx.__i.__l) \
+	: "%1" (__m0), \
+	       "r" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	     + (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define smul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {DItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("mr %0,%3" \
+	: "=r" (__xx.__i.__h), \
+	       "=r" (__xx.__i.__l) \
+	: "%1" (m0), \
+	       "r" (m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+} while (0)
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	union {DItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__xx.__i.__h = n1; __xx.__i.__l = n0; \
+	__asm__ ("dr %0,%2" \
+	: "=r" (__xx.__ll) \
+	: "0" (__xx.__ll), "r" (d)); \
+	(q) = __xx.__i.__l; (r) = __xx.__i.__h; \
+} while (0)
+#endif
+
+/***************************************
+	**************  I386  *****************
+	***************************************/
+#undef __i386__
+#if (defined(__i386__) || defined(__i486__)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addl %5,%1\n" \
+	   "adcl %3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	     "g" ((USItype)(bh)), \
+	     "%1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subl %5,%1\n" \
+	   "sbbl %3,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	     "g" ((USItype)(bh)), \
+	     "1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("mull %3" \
+	: "=a" ((USItype)(w0)), \
+	     "=d" ((USItype)(w1)) \
+	: "%0" ((USItype)(u)), \
+	     "rm" ((USItype)(v)))
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divl %4" \
+	: "=a" ((USItype)(q)), \
+	     "=d" ((USItype)(r)) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "rm" ((USItype)(d)))
+#define count_leading_zeros(count, x) \
+do { \
+	USItype __cbtmp; \
+	__asm__ ("bsrl %1,%0" \
+	: "=r" (__cbtmp) : "rm" ((USItype)(x))); \
+	(count) = __cbtmp ^ 31; \
+} while (0)
+#define count_trailing_zeros(count, x) \
+	__asm__ ("bsfl %1,%0" : "=r" (count) : "rm" ((USItype)(x)))
+#ifndef UMUL_TIME
+#define UMUL_TIME 40
+#endif
+#ifndef UDIV_TIME
+#define UDIV_TIME 40
+#endif
+#endif /* 80x86 */
+
+/***************************************
+	**************  I860  *****************
+	***************************************/
+#if defined(__i860__) && W_TYPE_SIZE == 32
+#define rshift_rhlc(r, h, l, c) \
+	__asm__ ("shr %3,r0,r0\n" \
+	"shrd %1,%2,%0" \
+	   "=r" (r) : "r" (h), "r" (l), "rn" (c))
+#endif /* i860 */
+
+/***************************************
+	**************  I960  *****************
+	***************************************/
+#if defined(__i960__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("cmpo 1,0\n" \
+	"addc %5,%4,%1\n" \
+	"addc %3,%2,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%dI" ((USItype)(ah)), \
+	     "dI" ((USItype)(bh)), \
+	     "%dI" ((USItype)(al)), \
+	     "dI" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("cmpo 0,0\n" \
+	"subc %5,%4,%1\n" \
+	"subc %3,%2,%0" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "dI" ((USItype)(ah)), \
+	     "dI" ((USItype)(bh)), \
+	     "dI" ((USItype)(al)), \
+	     "dI" ((USItype)(bl)))
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("emul        %2,%1,%0" \
+	: "=d" (__xx.__ll) \
+	: "%dI" ((USItype)(u)), \
+	     "dI" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("emul      %2,%1,%0" \
+	: "=d" (__w) \
+	: "%dI" ((USItype)(u)), \
+	       "dI" ((USItype)(v))); \
+	__w; })
+#define udiv_qrnnd(q, r, nh, nl, d) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __nn; \
+	__nn.__i.__h = (nh); __nn.__i.__l = (nl); \
+	__asm__ ("ediv %d,%n,%0" \
+	: "=d" (__rq.__ll) \
+	: "dI" (__nn.__ll), \
+	     "dI" ((USItype)(d))); \
+	(r) = __rq.__i.__l; (q) = __rq.__i.__h; \
+} while (0)
+#define count_leading_zeros(count, x) \
+do { \
+	USItype __cbtmp; \
+	__asm__ ("scanbit %1,%0" \
+	: "=r" (__cbtmp) \
+	: "r" ((USItype)(x))); \
+	(count) = __cbtmp ^ 31; \
+} while (0)
+#define COUNT_LEADING_ZEROS_0 (-32)	/* sic */
+#if defined(__i960mx)		/* what is the proper symbol to test??? */
+#define rshift_rhlc(r, h, l, c) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __nn; \
+	__nn.__i.__h = (h); __nn.__i.__l = (l); \
+	__asm__ ("shre %2,%1,%0" \
+	: "=d" (r) : "dI" (__nn.__ll), "dI" (c)); \
+}
+#endif /* i960mx */
+#endif /* i960 */
+
+/***************************************
+	**************  68000	****************
+	***************************************/
+#if (defined(__mc68000__) || defined(__mc68020__) || defined(__NeXT__) || defined(mc68020)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add%.l %5,%1\n" \
+	   "addx%.l %3,%0" \
+	: "=d" ((USItype)(sh)), \
+	     "=&d" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	     "d" ((USItype)(bh)), \
+	     "%1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub%.l %5,%1\n" \
+	   "subx%.l %3,%0" \
+	: "=d" ((USItype)(sh)), \
+	     "=&d" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	     "d" ((USItype)(bh)), \
+	     "1" ((USItype)(al)), \
+	     "g" ((USItype)(bl)))
+#if (defined(__mc68020__) || defined(__NeXT__) || defined(mc68020))
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("mulu%.l %3,%1:%0" \
+	: "=d" ((USItype)(w0)), \
+	     "=d" ((USItype)(w1)) \
+	: "%0" ((USItype)(u)), \
+	     "dmi" ((USItype)(v)))
+#define UMUL_TIME 45
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divu%.l %4,%1:%0" \
+	: "=d" ((USItype)(q)), \
+	     "=d" ((USItype)(r)) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "dmi" ((USItype)(d)))
+#define UDIV_TIME 90
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("divs%.l %4,%1:%0" \
+	: "=d" ((USItype)(q)), \
+	     "=d" ((USItype)(r)) \
+	: "0" ((USItype)(n0)), \
+	     "1" ((USItype)(n1)), \
+	     "dmi" ((USItype)(d)))
+#define count_leading_zeros(count, x) \
+	__asm__ ("bfffo %1{%b2:%b2},%0" \
+	: "=d" ((USItype)(count)) \
+	: "od" ((USItype)(x)), "n" (0))
+#define COUNT_LEADING_ZEROS_0 32
+#else /* not mc68020 */
+#define umul_ppmm(xh, xl, a, b) \
+do { USItype __umul_tmp1, __umul_tmp2; \
+	__asm__ ("| Inlined umul_ppmm\n" \
+	"move%.l %5,%3\n" \
+	"move%.l %2,%0\n" \
+	"move%.w %3,%1\n" \
+	"swap	%3\n" \
+	"swap	%0\n" \
+	"mulu	%2,%1\n" \
+	"mulu	%3,%0\n" \
+	"mulu	%2,%3\n" \
+	"swap	%2\n" \
+	"mulu	%5,%2\n" \
+	"add%.l	%3,%2\n" \
+	"jcc	1f\n" \
+	"add%.l	%#0x10000,%0\n" \
+	"1:	move%.l %2,%3\n" \
+	"clr%.w	%2\n" \
+	"swap	%2\n" \
+	"swap	%3\n" \
+	"clr%.w	%3\n" \
+	"add%.l	%3,%1\n" \
+	"addx%.l %2,%0\n" \
+	"| End inlined umul_ppmm" \
+	: "=&d" ((USItype)(xh)), "=&d" ((USItype)(xl)), \
+		"=d" (__umul_tmp1), "=&d" (__umul_tmp2) \
+	: "%2" ((USItype)(a)), "d" ((USItype)(b))); \
+} while (0)
+#define UMUL_TIME 100
+#define UDIV_TIME 400
+#endif /* not mc68020 */
+#endif /* mc68000 */
+
+/***************************************
+	**************  88000	****************
+	***************************************/
+#if defined(__m88000__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addu.co %1,%r4,%r5\n" \
+	   "addu.ci %0,%r2,%r3" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "%rJ" ((USItype)(ah)), \
+	     "rJ" ((USItype)(bh)), \
+	     "%rJ" ((USItype)(al)), \
+	     "rJ" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subu.co %1,%r4,%r5\n" \
+	   "subu.ci %0,%r2,%r3" \
+	: "=r" ((USItype)(sh)), \
+	     "=&r" ((USItype)(sl)) \
+	: "rJ" ((USItype)(ah)), \
+	     "rJ" ((USItype)(bh)), \
+	     "rJ" ((USItype)(al)), \
+	     "rJ" ((USItype)(bl)))
+#define count_leading_zeros(count, x) \
+do { \
+	USItype __cbtmp; \
+	__asm__ ("ff1 %0,%1" \
+	: "=r" (__cbtmp) \
+	: "r" ((USItype)(x))); \
+	(count) = __cbtmp ^ 31; \
+} while (0)
+#define COUNT_LEADING_ZEROS_0 63	/* sic */
+#if defined(__m88110__)
+#define umul_ppmm(wh, wl, u, v) \
+do { \
+	union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __x; \
+	__asm__ ("mulu.d %0,%1,%2" : "=r" (__x.__ll) : "r" (u), "r" (v)); \
+	(wh) = __x.__i.__h; \
+	(wl) = __x.__i.__l; \
+} while (0)
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	({union {UDItype __ll; \
+	   struct {USItype __h, __l; } __i; \
+	} __x, __q; \
+	__x.__i.__h = (n1); __x.__i.__l = (n0); \
+	__asm__ ("divu.d %0,%1,%2" \
+	: "=r" (__q.__ll) : "r" (__x.__ll), "r" (d)); \
+	(r) = (n0) - __q.__l * (d); (q) = __q.__l; })
+#define UMUL_TIME 5
+#define UDIV_TIME 25
+#else
+#define UMUL_TIME 17
+#define UDIV_TIME 150
+#endif /* __m88110__ */
+#endif /* __m88000__ */
+
+/***************************************
+	**************  MIPS  *****************
+	***************************************/
+#if defined(__mips__) && W_TYPE_SIZE == 32
+#if __GNUC__ > 2 || __GNUC_MINOR__ >= 7
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("multu %2,%3" \
+	: "=l" ((USItype)(w0)), \
+	     "=h" ((USItype)(w1)) \
+	: "d" ((USItype)(u)), \
+	     "d" ((USItype)(v)))
+#else
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("multu %2,%3\n" \
+	   "mflo %0\n" \
+	   "mfhi %1" \
+	: "=d" ((USItype)(w0)), \
+	     "=d" ((USItype)(w1)) \
+	: "d" ((USItype)(u)), \
+	     "d" ((USItype)(v)))
+#endif
+#define UMUL_TIME 10
+#define UDIV_TIME 100
+#endif /* __mips__ */
+
+/***************************************
+	**************  MIPS/64  **************
+	***************************************/
+#if (defined(__mips) && __mips >= 3) && W_TYPE_SIZE == 64
+#if __GNUC__ > 2 || __GNUC_MINOR__ >= 7
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("dmultu %2,%3" \
+	: "=l" ((UDItype)(w0)), \
+	     "=h" ((UDItype)(w1)) \
+	: "d" ((UDItype)(u)), \
+	     "d" ((UDItype)(v)))
+#else
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("dmultu %2,%3\n" \
+	   "mflo %0\n" \
+	   "mfhi %1" \
+	: "=d" ((UDItype)(w0)), \
+	     "=d" ((UDItype)(w1)) \
+	: "d" ((UDItype)(u)), \
+	     "d" ((UDItype)(v)))
+#endif
+#define UMUL_TIME 20
+#define UDIV_TIME 140
+#endif /* __mips__ */
+
+/***************************************
+	**************  32000	****************
+	***************************************/
+#if defined(__ns32000__) && W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__asm__ ("meid %2,%0" \
+	: "=g" (__xx.__ll) \
+	: "%0" ((USItype)(u)), \
+	     "g" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#define __umulsidi3(u, v) \
+	({UDItype __w; \
+	__asm__ ("meid %2,%0" \
+	: "=g" (__w) \
+	: "%0" ((USItype)(u)), \
+	       "g" ((USItype)(v))); \
+	__w; })
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	({union {UDItype __ll; \
+	   struct {USItype __l, __h; } __i; \
+	} __xx; \
+	__xx.__i.__h = (n1); __xx.__i.__l = (n0); \
+	__asm__ ("deid %2,%0" \
+	: "=g" (__xx.__ll) \
+	: "0" (__xx.__ll), \
+	     "g" ((USItype)(d))); \
+	(r) = __xx.__i.__l; (q) = __xx.__i.__h; })
+#define count_trailing_zeros(count, x) \
+do { \
+	__asm__("ffsd      %2,%0" \
+	: "=r"((USItype) (count)) \
+	: "0"((USItype) 0), "r"((USItype) (x))); \
+	} while (0)
+#endif /* __ns32000__ */
+
+/***************************************
+	**************  PPC  ******************
+	***************************************/
+#if (defined(_ARCH_PPC) || defined(_IBMR2)) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+do { \
+	if (__builtin_constant_p(bh) && (bh) == 0) \
+		__asm__ ("{a%I4|add%I4c} %1,%3,%4\n\t{aze|addze} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "%r" ((USItype)(ah)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == ~(USItype) 0) \
+		__asm__ ("{a%I4|add%I4c} %1,%3,%4\n\t{ame|addme} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "%r" ((USItype)(ah)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+	else \
+		__asm__ ("{a%I5|add%I5c} %1,%4,%5\n\t{ae|adde} %0,%2,%3" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "%r" ((USItype)(ah)), \
+		"r" ((USItype)(bh)), \
+		"%r" ((USItype)(al)), \
+		"rI" ((USItype)(bl))); \
+} while (0)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+do { \
+	if (__builtin_constant_p(ah) && (ah) == 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{sfze|subfze} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(ah) && (ah) == ~(USItype) 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{sfme|subfme} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{ame|addme} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else if (__builtin_constant_p(bh) && (bh) == ~(USItype) 0) \
+		__asm__ ("{sf%I3|subf%I3c} %1,%4,%3\n\t{aze|addze} %0,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "r" ((USItype)(ah)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+	else \
+		__asm__ ("{sf%I4|subf%I4c} %1,%5,%4\n\t{sfe|subfe} %0,%3,%2" \
+		: "=r" ((USItype)(sh)), \
+		"=&r" ((USItype)(sl)) \
+		: "r" ((USItype)(ah)), \
+		"r" ((USItype)(bh)), \
+		"rI" ((USItype)(al)), \
+		"r" ((USItype)(bl))); \
+} while (0)
+#define count_leading_zeros(count, x) \
+	__asm__ ("{cntlz|cntlzw} %0,%1" \
+	: "=r" ((USItype)(count)) \
+	: "r" ((USItype)(x)))
+#define COUNT_LEADING_ZEROS_0 32
+#if defined(_ARCH_PPC)
+#define umul_ppmm(ph, pl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mulhwu %0,%1,%2" \
+	: "=r" ((USItype) ph) \
+	: "%r" (__m0), \
+	"r" (__m1)); \
+	(pl) = __m0 * __m1; \
+} while (0)
+#define UMUL_TIME 15
+#define smul_ppmm(ph, pl, m0, m1) \
+do { \
+	SItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mulhw %0,%1,%2" \
+	: "=r" ((SItype) ph) \
+	: "%r" (__m0), \
+	"r" (__m1)); \
+	(pl) = __m0 * __m1; \
+} while (0)
+#define SMUL_TIME 14
+#define UDIV_TIME 120
+#else
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mul %0,%2,%3" \
+	: "=r" ((USItype)(xh)), \
+	"=q" ((USItype)(xl)) \
+	: "r" (__m0), \
+	"r" (__m1)); \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define UMUL_TIME 8
+#define smul_ppmm(xh, xl, m0, m1) \
+	__asm__ ("mul %0,%2,%3" \
+	: "=r" ((SItype)(xh)), \
+	"=q" ((SItype)(xl)) \
+	: "r" (m0), \
+	"r" (m1))
+#define SMUL_TIME 4
+#define sdiv_qrnnd(q, r, nh, nl, d) \
+	__asm__ ("div %0,%2,%4" \
+	: "=r" ((SItype)(q)), "=q" ((SItype)(r)) \
+	: "r" ((SItype)(nh)), "1" ((SItype)(nl)), "r" ((SItype)(d)))
+#define UDIV_TIME 100
+#endif
+#endif /* Power architecture variants.  */
+
+/***************************************
+	**************  PYR  ******************
+	***************************************/
+#if defined(__pyr__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addw        %5,%1\n" \
+	"addwc	%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subw        %5,%1\n" \
+	"subwb	%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+	/* This insn works on Pyramids with AP, XP, or MI CPUs, but not with SP.  */
+#define umul_ppmm(w1, w0, u, v) \
+	({union {UDItype __ll; \
+	struct {USItype __h, __l; } __i; \
+	} __xx; \
+	__asm__ ("movw %1,%R0\n" \
+	"uemul %2,%0" \
+	: "=&r" (__xx.__ll) \
+	: "g" ((USItype) (u)), \
+	"g" ((USItype)(v))); \
+	(w1) = __xx.__i.__h; (w0) = __xx.__i.__l; })
+#endif /* __pyr__ */
+
+/***************************************
+	**************  RT/ROMP  **************
+	***************************************/
+#if defined(__ibm032__) /* RT/ROMP */	&& W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("a %1,%5\n" \
+	"ae %0,%3" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"r" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"r" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("s %1,%5\n" \
+	"se %0,%3" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"r" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"r" ((USItype)(bl)))
+#define umul_ppmm(ph, pl, m0, m1) \
+do { \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ( \
+	"s       r2,r2\n" \
+	"mts	r10,%2\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"m	r2,%3\n" \
+	"cas	%0,r2,r0\n" \
+	"mfs	r10,%1" \
+	: "=r" ((USItype)(ph)), \
+	"=r" ((USItype)(pl)) \
+	: "%r" (__m0), \
+	"r" (__m1) \
+	: "r2"); \
+	(ph) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define UMUL_TIME 20
+#define UDIV_TIME 200
+#define count_leading_zeros(count, x) \
+do { \
+	if ((x) >= 0x10000) \
+		__asm__ ("clz     %0,%1" \
+		: "=r" ((USItype)(count)) \
+		: "r" ((USItype)(x) >> 16)); \
+	else { \
+		__asm__ ("clz   %0,%1" \
+		: "=r" ((USItype)(count)) \
+		: "r" ((USItype)(x))); \
+		(count) += 16; \
+	} \
+} while (0)
+#endif /* RT/ROMP */
+
+/***************************************
+	**************  SH2  ******************
+	***************************************/
+#if (defined(__sh2__) || defined(__sh3__) || defined(__SH4__)) \
+	&& W_TYPE_SIZE == 32
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ( \
+	"dmulu.l %2,%3\n" \
+	"sts	macl,%1\n" \
+	"sts	mach,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)) \
+	: "macl", "mach")
+#define UMUL_TIME 5
+#endif
+
+/***************************************
+	**************  SPARC	****************
+	***************************************/
+#if defined(__sparc__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addcc %r4,%5,%1\n" \
+	"addx %r2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "%rJ" ((USItype)(ah)), \
+	"rI" ((USItype)(bh)), \
+	"%rJ" ((USItype)(al)), \
+	"rI" ((USItype)(bl)) \
+	__CLOBBER_CC)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subcc %r4,%5,%1\n" \
+	"subx %r2,%3,%0" \
+	: "=r" ((USItype)(sh)), \
+	"=&r" ((USItype)(sl)) \
+	: "rJ" ((USItype)(ah)), \
+	"rI" ((USItype)(bh)), \
+	"rJ" ((USItype)(al)), \
+	"rI" ((USItype)(bl)) \
+	__CLOBBER_CC)
+#if defined(__sparc_v8__)
+/* Don't match immediate range because, 1) it is not often useful,
+	2) the 'I' flag thinks of the range as a 13 bit signed interval,
+	while we want to match a 13 bit interval, sign extended to 32 bits,
+	but INTERPRETED AS UNSIGNED.  */
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("umul %2,%3,%1;rd %%y,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)))
+#define UMUL_TIME 5
+#ifndef SUPERSPARC		/* SuperSPARC's udiv only handles 53 bit dividends */
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	USItype __q; \
+	__asm__ ("mov %1,%%y;nop;nop;nop;udiv %2,%3,%0" \
+	: "=r" ((USItype)(__q)) \
+	: "r" ((USItype)(n1)), \
+	"r" ((USItype)(n0)), \
+	"r" ((USItype)(d))); \
+	(r) = (n0) - __q * (d); \
+	(q) = __q; \
+} while (0)
+#define UDIV_TIME 25
+#endif /* SUPERSPARC */
+#else /* ! __sparc_v8__ */
+#if defined(__sparclite__)
+/* This has hardware multiply but not divide.  It also has two additional
+	instructions scan (ffs from high bit) and divscc.  */
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("umul %2,%3,%1;rd %%y,%0" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "r" ((USItype)(u)), \
+	"r" ((USItype)(v)))
+#define UMUL_TIME 5
+#define udiv_qrnnd(q, r, n1, n0, d) \
+	__asm__ ("! Inlined udiv_qrnnd\n" \
+	"wr	%%g0,%2,%%y	! Not a delayed write for sparclite\n" \
+	"tst	%%g0\n" \
+	"divscc	%3,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%%g1\n" \
+	"divscc	%%g1,%4,%0\n" \
+	"rd	%%y,%1\n" \
+	"bl,a 1f\n" \
+	"add	%1,%4,%1\n" \
+	"1:	! End of inline udiv_qrnnd" \
+	: "=r" ((USItype)(q)), \
+	"=r" ((USItype)(r)) \
+	: "r" ((USItype)(n1)), \
+	"r" ((USItype)(n0)), \
+	"rI" ((USItype)(d)) \
+	: "%g1" __AND_CLOBBER_CC)
+#define UDIV_TIME 37
+#define count_leading_zeros(count, x) \
+	__asm__ ("scan %1,0,%0" \
+	: "=r" ((USItype)(x)) \
+	: "r" ((USItype)(count)))
+/* Early sparclites return 63 for an argument of 0, but they warn that future
+	implementations might change this.  Therefore, leave COUNT_LEADING_ZEROS_0
+	undefined.  */
+#endif /* __sparclite__ */
+#endif /* __sparc_v8__ */
+	/* Default to sparc v7 versions of umul_ppmm and udiv_qrnnd.  */
+#ifndef umul_ppmm
+#define umul_ppmm(w1, w0, u, v) \
+	__asm__ ("! Inlined umul_ppmm\n" \
+	"wr	%%g0,%2,%%y	! SPARC has 0-3 delay insn after a wr\n" \
+	"sra	%3,31,%%g2	! Don't move this insn\n" \
+	"and	%2,%%g2,%%g2	! Don't move this insn\n" \
+	"andcc	%%g0,0,%%g1	! Don't move this insn\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,%3,%%g1\n" \
+	"mulscc	%%g1,0,%%g1\n" \
+	"add	%%g1,%%g2,%0\n" \
+	"rd	%%y,%1" \
+	: "=r" ((USItype)(w1)), \
+	"=r" ((USItype)(w0)) \
+	: "%rI" ((USItype)(u)), \
+	"r" ((USItype)(v)) \
+	: "%g1", "%g2" __AND_CLOBBER_CC)
+#define UMUL_TIME 39		/* 39 instructions */
+#endif
+#ifndef udiv_qrnnd
+#ifndef LONGLONG_STANDALONE
+#define udiv_qrnnd(q, r, n1, n0, d) \
+do { USItype __r; \
+	(q) = __udiv_qrnnd(&__r, (n1), (n0), (d)); \
+	(r) = __r; \
+} while (0)
+	extern USItype __udiv_qrnnd();
+#define UDIV_TIME 140
+#endif /* LONGLONG_STANDALONE */
+#endif /* udiv_qrnnd */
+#endif /* __sparc__ */
+
+/***************************************
+	**************  VAX  ******************
+	***************************************/
+#if defined(__vax__) && W_TYPE_SIZE == 32
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("addl2 %5,%1\n" \
+	"adwc %3,%0" \
+	: "=g" ((USItype)(sh)), \
+	"=&g" ((USItype)(sl)) \
+	: "%0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"%1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("subl2 %5,%1\n" \
+	"sbwc %3,%0" \
+	: "=g" ((USItype)(sh)), \
+	"=&g" ((USItype)(sl)) \
+	: "0" ((USItype)(ah)), \
+	"g" ((USItype)(bh)), \
+	"1" ((USItype)(al)), \
+	"g" ((USItype)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {UDItype __ll; \
+	struct {USItype __l, __h; } __i; \
+	} __xx; \
+	USItype __m0 = (m0), __m1 = (m1); \
+	__asm__ ("emul %1,%2,$0,%0" \
+	: "=g" (__xx.__ll) \
+	: "g" (__m0), \
+	"g" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((SItype) __m0 >> 31) & __m1) \
+	+ (((SItype) __m1 >> 31) & __m0)); \
+} while (0)
+#define sdiv_qrnnd(q, r, n1, n0, d) \
+do { \
+	union {DItype __ll; \
+	struct {SItype __l, __h; } __i; \
+	} __xx; \
+	__xx.__i.__h = n1; __xx.__i.__l = n0; \
+	__asm__ ("ediv %3,%2,%0,%1" \
+	: "=g" (q), "=g" (r) \
+	: "g" (__xx.__ll), "g" (d)); \
+} while (0)
+#endif /* __vax__ */
+
+/***************************************
+	**************  Z8000	****************
+	***************************************/
+#if defined(__z8000__) && W_TYPE_SIZE == 16
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+	__asm__ ("add %H1,%H5\n\tadc  %H0,%H3" \
+	: "=r" ((unsigned int)(sh)), \
+	"=&r" ((unsigned int)(sl)) \
+	: "%0" ((unsigned int)(ah)), \
+	"r" ((unsigned int)(bh)), \
+	"%1" ((unsigned int)(al)), \
+	"rQR" ((unsigned int)(bl)))
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+	__asm__ ("sub %H1,%H5\n\tsbc  %H0,%H3" \
+	: "=r" ((unsigned int)(sh)), \
+	"=&r" ((unsigned int)(sl)) \
+	: "0" ((unsigned int)(ah)), \
+	"r" ((unsigned int)(bh)), \
+	"1" ((unsigned int)(al)), \
+	"rQR" ((unsigned int)(bl)))
+#define umul_ppmm(xh, xl, m0, m1) \
+do { \
+	union {long int __ll; \
+	struct {unsigned int __h, __l; } __i; \
+	} __xx; \
+	unsigned int __m0 = (m0), __m1 = (m1); \
+	__asm__ ("mult      %S0,%H3" \
+	: "=r" (__xx.__i.__h), \
+	"=r" (__xx.__i.__l) \
+	: "%1" (__m0), \
+	"rQR" (__m1)); \
+	(xh) = __xx.__i.__h; (xl) = __xx.__i.__l; \
+	(xh) += ((((signed int) __m0 >> 15) & __m1) \
+	+ (((signed int) __m1 >> 15) & __m0)); \
+} while (0)
+#endif /* __z8000__ */
+
+#endif /* __GNUC__ */
+
+/***************************************
+	***********  Generic Versions	********
+	***************************************/
+#if !defined(umul_ppmm) && defined(__umulsidi3)
+#define umul_ppmm(ph, pl, m0, m1) \
+{ \
+	UDWtype __ll = __umulsidi3(m0, m1); \
+	ph = (UWtype) (__ll >> W_TYPE_SIZE); \
+	pl = (UWtype) __ll; \
+}
+#endif
+
+#if !defined(__umulsidi3)
+#define __umulsidi3(u, v) \
+	({UWtype __hi, __lo; \
+	umul_ppmm(__hi, __lo, u, v); \
+	((UDWtype) __hi << W_TYPE_SIZE) | __lo; })
+#endif
+
+	/* If this machine has no inline assembler, use C macros.  */
+
+#if !defined(add_ssaaaa)
+#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
+do { \
+	UWtype __x; \
+	__x = (al) + (bl); \
+	(sh) = (ah) + (bh) + (__x < (al)); \
+	(sl) = __x; \
+} while (0)
+#endif
+
+#if !defined(sub_ddmmss)
+#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
+do { \
+	UWtype __x; \
+	__x = (al) - (bl); \
+	(sh) = (ah) - (bh) - (__x > (al)); \
+	(sl) = __x; \
+} while (0)
+#endif
+
+#if !defined(umul_ppmm)
+#define umul_ppmm(w1, w0, u, v) \
+do { \
+	UWtype __x0, __x1, __x2, __x3; \
+	UHWtype __ul, __vl, __uh, __vh; \
+	UWtype __u = (u), __v = (v); \
+	\
+	__ul = __ll_lowpart(__u); \
+	__uh = __ll_highpart(__u); \
+	__vl = __ll_lowpart(__v); \
+	__vh = __ll_highpart(__v); \
+	\
+	__x0 = (UWtype) __ul * __vl; \
+	__x1 = (UWtype) __ul * __vh; \
+	__x2 = (UWtype) __uh * __vl; \
+	__x3 = (UWtype) __uh * __vh; \
+	\
+	__x1 += __ll_highpart(__x0);/* this can't give carry */ \
+	__x1 += __x2;		/* but this indeed can */ \
+	if (__x1 < __x2)		/* did we get it? */ \
+	__x3 += __ll_B;		/* yes, add it in the proper pos. */ \
+	\
+	(w1) = __x3 + __ll_highpart(__x1); \
+	(w0) = (__ll_lowpart(__x1) << W_TYPE_SIZE/2) + __ll_lowpart(__x0); \
+} while (0)
+#endif
+
+#if !defined(umul_ppmm)
+#define smul_ppmm(w1, w0, u, v) \
+do { \
+	UWtype __w1; \
+	UWtype __m0 = (u), __m1 = (v); \
+	umul_ppmm(__w1, w0, __m0, __m1); \
+	(w1) = __w1 - (-(__m0 >> (W_TYPE_SIZE - 1)) & __m1) \
+	- (-(__m1 >> (W_TYPE_SIZE - 1)) & __m0); \
+} while (0)
+#endif
+
+	/* Define this unconditionally, so it can be used for debugging.  */
+#define __udiv_qrnnd_c(q, r, n1, n0, d) \
+do { \
+	UWtype __d1, __d0, __q1, __q0, __r1, __r0, __m; \
+	__d1 = __ll_highpart(d); \
+	__d0 = __ll_lowpart(d); \
+	\
+	__r1 = (n1) % __d1; \
+	__q1 = (n1) / __d1; \
+	__m = (UWtype) __q1 * __d0; \
+	__r1 = __r1 * __ll_B | __ll_highpart(n0); \
+	if (__r1 < __m) { \
+		__q1--, __r1 += (d); \
+		if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */ \
+		if (__r1 < __m) \
+			__q1--, __r1 += (d); \
+	} \
+	__r1 -= __m; \
+	\
+	__r0 = __r1 % __d1; \
+	__q0 = __r1 / __d1; \
+	__m = (UWtype) __q0 * __d0; \
+	__r0 = __r0 * __ll_B | __ll_lowpart(n0); \
+	if (__r0 < __m) { \
+		__q0--, __r0 += (d); \
+		if (__r0 >= (d)) \
+			if (__r0 < __m) \
+				__q0--, __r0 += (d); \
+	} \
+	__r0 -= __m; \
+	\
+	(q) = (UWtype) __q1 * __ll_B | __q0; \
+	(r) = __r0; \
+} while (0)
+
+/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through
+	__udiv_w_sdiv (defined in libgcc or elsewhere).  */
+#if !defined(udiv_qrnnd) && defined(sdiv_qrnnd)
+#define udiv_qrnnd(q, r, nh, nl, d) \
+do { \
+	UWtype __r; \
+	(q) = __MPN(udiv_w_sdiv) (&__r, nh, nl, d); \
+	(r) = __r; \
+} while (0)
+#endif
+
+	/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c.  */
+#if !defined(udiv_qrnnd)
+#define UDIV_NEEDS_NORMALIZATION 1
+#define udiv_qrnnd __udiv_qrnnd_c
+#endif
+
+#undef count_leading_zeros
+#if !defined(count_leading_zeros)
+	extern
+#ifdef __STDC__
+			const
+#endif
+			unsigned char __clz_tab[];
+#define count_leading_zeros(count, x) \
+do { \
+	UWtype __xr = (x); \
+	UWtype __a; \
+	\
+	if (W_TYPE_SIZE <= 32) { \
+		__a = __xr < ((UWtype) 1 << 2*__BITS4) \
+		? (__xr < ((UWtype) 1 << __BITS4) ? 0 : __BITS4) \
+		: (__xr < ((UWtype) 1 << 3*__BITS4) ?  2*__BITS4 : 3*__BITS4); \
+	} \
+	else { \
+		for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8) \
+			if (((__xr >> __a) & 0xff) != 0) \
+				break; \
+	} \
+	\
+	(count) = W_TYPE_SIZE - (__clz_tab[__xr >> __a] + __a); \
+} while (0)
+	/* This version gives a well-defined value for zero. */
+#define COUNT_LEADING_ZEROS_0 W_TYPE_SIZE
+#endif
+
+#if !defined(count_trailing_zeros)
+/* Define count_trailing_zeros using count_leading_zeros.  The latter might be
+	defined in asm, but if it is not, the C version above is good enough.  */
+#define count_trailing_zeros(count, x) \
+do { \
+	UWtype __ctz_x = (x); \
+	UWtype __ctz_c; \
+	count_leading_zeros(__ctz_c, __ctz_x & -__ctz_x); \
+	(count) = W_TYPE_SIZE - 1 - __ctz_c; \
+} while (0)
+#endif
+
+#ifndef UDIV_NEEDS_NORMALIZATION
+#define UDIV_NEEDS_NORMALIZATION 0
+#endif

lib/mpi/mpi-inline.h

+/* mpi-inline.h  -  Internal to the Multi Precision Integers
+ *	Copyright (C) 1994, 1996, 1998, 1999 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#ifndef G10_MPI_INLINE_H
+#define G10_MPI_INLINE_H
+
+#ifndef G10_MPI_INLINE_DECL
+#define G10_MPI_INLINE_DECL  extern inline
+#endif
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_add_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t x;
+
+	x = *s1_ptr++;
+	s2_limb += x;
+	*res_ptr++ = s2_limb;
+	if (s2_limb < x) {	/* sum is less than the left operand: handle carry */
+		while (--s1_size) {
+			x = *s1_ptr++ + 1;	/* add carry */
+			*res_ptr++ = x;	/* and store */
+			if (x)	/* not 0 (no overflow): we can stop */
+				goto leave;
+		}
+		return 1;	/* return carry (size of s1 to small) */
+	}
+
+leave:
+	if (res_ptr != s1_ptr) {	/* not the same variable */
+		mpi_size_t i;	/* copy the rest */
+		for (i = 0; i < s1_size - 1; i++)
+			res_ptr[i] = s1_ptr[i];
+	}
+	return 0;		/* no carry */
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_add(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+	    mpi_ptr_t s2_ptr, mpi_size_t s2_size)
+{
+	mpi_limb_t cy = 0;
+
+	if (s2_size)
+		cy = mpihelp_add_n(res_ptr, s1_ptr, s2_ptr, s2_size);
+
+	if (s1_size - s2_size)
+		cy = mpihelp_add_1(res_ptr + s2_size, s1_ptr + s2_size,
+				   s1_size - s2_size, cy);
+	return cy;
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_sub_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+	      mpi_size_t s1_size, mpi_limb_t s2_limb)
+{
+	mpi_limb_t x;
+
+	x = *s1_ptr++;
+	s2_limb = x - s2_limb;
+	*res_ptr++ = s2_limb;
+	if (s2_limb > x) {
+		while (--s1_size) {
+			x = *s1_ptr++;
+			*res_ptr++ = x - 1;
+			if (x)
+				goto leave;
+		}
+		return 1;
+	}
+
+leave:
+	if (res_ptr != s1_ptr) {
+		mpi_size_t i;
+		for (i = 0; i < s1_size - 1; i++)
+			res_ptr[i] = s1_ptr[i];
+	}
+	return 0;
+}
+
+G10_MPI_INLINE_DECL mpi_limb_t
+mpihelp_sub(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+	    mpi_ptr_t s2_ptr, mpi_size_t s2_size)
+{
+	mpi_limb_t cy = 0;
+
+	if (s2_size)
+		cy = mpihelp_sub_n(res_ptr, s1_ptr, s2_ptr, s2_size);
+
+	if (s1_size - s2_size)
+		cy = mpihelp_sub_1(res_ptr + s2_size, s1_ptr + s2_size,
+				   s1_size - s2_size, cy);
+	return cy;
+}
+
+#endif /*G10_MPI_INLINE_H */

lib/mpi/mpi-internal.h

+/* mpi-internal.h  -  Internal to the Multi Precision Integers
+ *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
+ *	Copyright (C) 1998, 2000 Free Software Foundation, Inc.
+ *
+ * This file is part of GnuPG.
+ *
+ * GnuPG is free software; you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation; either version 2 of the License, or
+ * (at your option) any later version.
+ *
+ * GnuPG is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program; if not, write to the Free Software
+ * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
+ *
+ * Note: This code is heavily based on the GNU MP Library.
+ *	 Actually it's the same code with only minor changes in the
+ *	 way the data is stored; this is to support the abstraction
+ *	 of an optional secure memory allocation which may be used
+ *	 to avoid revealing of sensitive data due to paging etc.
+ *	 The GNU MP Library itself is published under the LGPL;
+ *	 however I decided to publish this code under the plain GPL.
+ */
+
+#ifndef G10_MPI_INTERNAL_H
+#define G10_MPI_INTERNAL_H
+
+#include <linux/module.h>
+#include <linux/kernel.h>
+#include <linux/slab.h>
+#include <linux/string.h>
+#include <linux/mpi.h>
+#include <linux/errno.h>
+
+#define log_debug printk
+#define log_bug printk
+
+#define assert(x) \
+	do { \
+		if (!x) \
+			log_bug("failed assertion\n"); \
+	} while (0);
+
+/* If KARATSUBA_THRESHOLD is not already defined, define it to a
+ * value which is good on most machines.  */
+
+/* tested 4, 16, 32 and 64, where 16 gave the best performance when
+ * checking a 768 and a 1024 bit ElGamal signature.
+ * (wk 22.12.97) */
+#ifndef KARATSUBA_THRESHOLD
+#define KARATSUBA_THRESHOLD 16
+#endif
+
+/* The code can't handle KARATSUBA_THRESHOLD smaller than 2.  */
+#if KARATSUBA_THRESHOLD < 2
+#undef KARATSUBA_THRESHOLD
+#define KARATSUBA_THRESHOLD 2
+#endif
+
+typedef mpi_limb_t *mpi_ptr_t;	/* pointer to a limb */
+typedef int mpi_size_t;		/* (must be a signed type) */
+
+#define ABS(x) (x >= 0 ? x : -x)
+#define MIN(l, o) ((l) < (o) ? (l) : (o))
+#define MAX(h, i) ((h) > (i) ? (h) : (i))
+
+static inline int RESIZE_IF_NEEDED(MPI a, unsigned b)
+{
+	if (a->alloced < b)
+		return mpi_resize(a, b);
+	return 0;
+}
+
+/* Copy N limbs from S to D.  */
+#define MPN_COPY(d, s, n) \
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = (s)[_i];	\
+	} while (0)
+
+#define MPN_COPY_INCR(d, s, n) \
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = (d)[_i];	\
+	} while (0)
+
+#define MPN_COPY_DECR(d, s, n) \
+	do {					\
+		mpi_size_t _i;			\
+		for (_i = (n)-1; _i >= 0; _i--) \
+			(d)[_i] = (s)[_i];	\
+	} while (0)
+
+/* Zero N limbs at D */
+#define MPN_ZERO(d, n) \
+	do {					\
+		int  _i;			\
+		for (_i = 0; _i < (n); _i++)	\
+			(d)[_i] = 0;		\
+	} while (0)
+
+#define MPN_NORMALIZE(d, n)  \
+	do {					\
+		while ((n) > 0) {		\
+			if ((d)[(n)-1])		\
+				break;		\
+			(n)--;			\
+		}				\
+	} while (0)
+
+#define MPN_NORMALIZE_NOT_ZERO(d, n) \
+	do {				\
+		for (;;) {		\
+			if ((d)[(n)-1])	\
+				break;	\
+			(n)--;		\
+		}			\
+	} while (0)
+
+#define MPN_MUL_N_RECURSE(prodp, up, vp, size, tspace) \
+	do {							\
+		if ((size) < KARATSUBA_THRESHOLD)		\
+			mul_n_basecase(prodp, up, vp, size);	\
+		else						\
+			mul_n(prodp, up, vp, size, tspace);	\
+	} while (0);
+
+/* Divide the two-limb number in (NH,,NL) by D, with DI being the largest
+ * limb not larger than (2**(2*BITS_PER_MP_LIMB))/D - (2**BITS_PER_MP_LIMB).
+ * If this would yield overflow, DI should be the largest possible number
+ * (i.e., only ones).  For correct operation, the most significant bit of D
+ * has to be set.  Put the quotient in Q and the remainder in R.
+ */
+#define UDIV_QRNND_PREINV(q, r, nh, nl, d, di) \
+	do {								\
+		mpi_limb_t _q, _ql, _r;					\
+		mpi_limb_t _xh, _xl;					\
+		umul_ppmm(_q, _ql, (nh), (di));				\
+		_q += (nh);	/* DI is 2**BITS_PER_MPI_LIMB too small */ \
+		umul_ppmm(_xh, _xl, _q, (d));				\
+		sub_ddmmss(_xh, _r, (nh), (nl), _xh, _xl);		\
+		if (_xh) {						\
+			sub_ddmmss(_xh, _r, _xh, _r, 0, (d));		\
+			_q++;						\
+			if (_xh) {					\
+				sub_ddmmss(_xh, _r, _xh, _r, 0, (d));	\
+				_q++;					\
+			}						\
+		}							\
+		if (_r >= (d)) {					\
+			_r -= (d);					\
+			_q++;						\
+		}							\
+		(r) = _r;						\
+		(q) = _q;						\
+	} while (0)
+
+/*-- mpiutil.c --*/
+mpi_ptr_t mpi_alloc_limb_space(unsigned nlimbs);
+void mpi_free_limb_space(mpi_ptr_t a);
+void mpi_assign_limb_space(MPI a, mpi_ptr_t ap, unsigned nlimbs);
+
+/*-- mpi-bit.c --*/
+void mpi_rshift_limbs(MPI a, unsigned int count);
+int mpi_lshift_limbs(MPI a, unsigned int count);
+
+/*-- mpihelp-add.c --*/
+mpi_limb_t mpihelp_add_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_add_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_ptr_t s2_ptr, mpi_size_t size);
+mpi_limb_t mpihelp_add(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+		       mpi_ptr_t s2_ptr, mpi_size_t s2_size);
+
+/*-- mpihelp-sub.c --*/
+mpi_limb_t mpihelp_sub_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_sub_n(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_ptr_t s2_ptr, mpi_size_t size);
+mpi_limb_t mpihelp_sub(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr, mpi_size_t s1_size,
+		       mpi_ptr_t s2_ptr, mpi_size_t s2_size);
+
+/*-- mpihelp-cmp.c --*/
+int mpihelp_cmp(mpi_ptr_t op1_ptr, mpi_ptr_t op2_ptr, mpi_size_t size);
+
+/*-- mpihelp-mul.c --*/
+
+struct karatsuba_ctx {
+	struct karatsuba_ctx *next;
+	mpi_ptr_t tspace;
+	mpi_size_t tspace_size;
+	mpi_ptr_t tp;
+	mpi_size_t tp_size;
+};
+
+void mpihelp_release_karatsuba_ctx(struct karatsuba_ctx *ctx);
+
+mpi_limb_t mpihelp_addmul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			    mpi_size_t s1_size, mpi_limb_t s2_limb);
+mpi_limb_t mpihelp_submul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			    mpi_size_t s1_size, mpi_limb_t s2_limb);
+int mpihelp_mul_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_ptr_t vp, mpi_size_t size);
+int mpihelp_mul(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t usize,
+		mpi_ptr_t vp, mpi_size_t vsize, mpi_limb_t *_result);
+void mpih_sqr_n_basecase(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size);
+void mpih_sqr_n(mpi_ptr_t prodp, mpi_ptr_t up, mpi_size_t size,
+		mpi_ptr_t tspace);
+
+int mpihelp_mul_karatsuba_case(mpi_ptr_t prodp,
+			       mpi_ptr_t up, mpi_size_t usize,
+			       mpi_ptr_t vp, mpi_size_t vsize,
+			       struct karatsuba_ctx *ctx);
+
+/*-- mpihelp-mul_1.c (or xxx/cpu/ *.S) --*/
+mpi_limb_t mpihelp_mul_1(mpi_ptr_t res_ptr, mpi_ptr_t s1_ptr,
+			 mpi_size_t s1_size, mpi_limb_t s2_limb);
+
+/*-- mpihelp-div.c --*/
+mpi_limb_t mpihelp_mod_1(mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+			 mpi_limb_t divisor_limb);
+mpi_limb_t mpihelp_divrem(mpi_ptr_t qp, mpi_size_t qextra_limbs,
+			  mpi_ptr_t np, mpi_size_t nsize,
+			  mpi_ptr_t dp, mpi_size_t dsize);
+mpi_limb_t mpihelp_divmod_1(mpi_ptr_t quot_ptr,
+			    mpi_ptr_t dividend_ptr, mpi_size_t dividend_size,
+			    mpi_limb_t divisor_limb);
+
+/*-- mpihelp-shift.c --*/
+mpi_limb_t mpihelp_lshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize,
+			  unsigned cnt);
+mpi_limb_t mpihelp_rshift(mpi_ptr_t wp, mpi_ptr_t up, mpi_size_t usize,
+			  unsigned cnt);
+
+/* Define stuff for longlong.h.  */
+#define W_TYPE_SIZE BITS_PER_MPI_LIMB
+typedef mpi_limb_t UWtype;
+typedef unsigned int UHWtype;
+#if defined(__GNUC__)
+typedef unsigned int UQItype __attribute__ ((mode(QI)));
+typedef int SItype __attribute__ ((mode(SI)));
+typedef unsigned int USItype __attribute__ ((mode(SI)));
+typedef int DItype __attribute__ ((mode(DI)));
+typedef unsigned int UDItype __attribute__ ((mode(DI)));
+#else
+typedef unsigned char UQItype;
+typedef long SItype;
+typedef unsigned long USItype;
+#endif
+
+#ifdef __GNUC__
+#include "mpi-inline.h"
+#endif
+
+#endif /*G10_MPI_INTERNAL_H */