arch/nios2/lib/longlong.h - u-boot - Git at Google

 /* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
    Copyright (C) 1991, 1992, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2004,
    2005  Free Software Foundation, Inc.

  * SPDX-License-Identifier:	GPL-2.0+
  */

 /* 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

    UQItype -- Unsigned 8 bit type.
    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))

 #ifndef W_TYPE_SIZE
 #define W_TYPE_SIZE	32
 #define UWtype		USItype
 #define UHWtype		USItype
 #define UDWtype		UDItype
 #endif

 extern const UQItype __clz_tab[256];

 /* Define auxiliary asm macros.

    1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two
    UWtype integers MULTIPLIER 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 nonzero 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!
    (E.g. WE32100, IBM360.)  */

 /* Snipped per CPU support */

 /* 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 we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of
    smul_ppmm.  */
 #if !defined (umul_ppmm) && defined (smul_ppmm)
 #define umul_ppmm(w1, w0, u, v)						\
   do {									\
     UWtype __w1;							\
     UWtype __xm0 = (u), __xm1 = (v);					\
     smul_ppmm (__w1, w0, __xm0, __xm1);					\
     (w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1)		\
 		+ (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0);		\
   } while (0)
 #endif

 /* If we still don't have umul_ppmm, define it using plain C.  */
 #if !defined (umul_ppmm)
 #define umul_ppmm(w1, w0, u, v)						\
   do {									\
     UWtype __x0, __x1, __x2, __x3;					\
     UHWtype __ul, __vl, __uh, __vh;					\
 									\
     __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) * __ll_B + __ll_lowpart (__x0);		\
   } while (0)
 #endif

 #if !defined (__umulsidi3)
 #define __umulsidi3(u, v) \
   ({DWunion __w;							\
     umul_ppmm (__w.s.high, __w.s.low, u, v);				\
     __w.ll; })
 #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;					\
     UWtype __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 {									\
     USItype __r;							\
     (q) = __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

 #if !defined (count_leading_zeros)
 #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)
 #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
	/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
	Copyright (C) 1991, 1992, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2004,
	2005 Free Software Foundation, Inc.

	* SPDX-License-Identifier: GPL-2.0+
	*/

	/* 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

	UQItype -- Unsigned 8 bit type.
	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))

	#ifndef W_TYPE_SIZE
	#define W_TYPE_SIZE 32
	#define UWtype USItype
	#define UHWtype USItype
	#define UDWtype UDItype
	#endif

	extern const UQItype __clz_tab[256];

	/* Define auxiliary asm macros.

	1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two
	UWtype integers MULTIPLIER 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 nonzero 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!
	(E.g. WE32100, IBM360.) */

	/* Snipped per CPU support */

	/* 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 we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of
	smul_ppmm. */
	#if !defined (umul_ppmm) && defined (smul_ppmm)
	#define umul_ppmm(w1, w0, u, v) \
	do { \
	UWtype __w1; \
	UWtype __xm0 = (u), __xm1 = (v); \
	smul_ppmm (__w1, w0, __xm0, __xm1); \
	(w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \
	+ (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \
	} while (0)
	#endif

	/* If we still don't have umul_ppmm, define it using plain C. */
	#if !defined (umul_ppmm)
	#define umul_ppmm(w1, w0, u, v) \
	do { \
	UWtype __x0, __x1, __x2, __x3; \
	UHWtype __ul, __vl, __uh, __vh; \
	\
	__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) * __ll_B + __ll_lowpart (__x0); \
	} while (0)
	#endif

	#if !defined (__umulsidi3)
	#define __umulsidi3(u, v) \
	({DWunion __w; \
	umul_ppmm (__w.s.high, __w.s.low, u, v); \
	__w.ll; })
	#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; \
	UWtype __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 { \
	USItype __r; \
	(q) = __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

	#if !defined (count_leading_zeros)
	#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)
	#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