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- /* 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
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