251 lines
8.4 KiB
C
251 lines
8.4 KiB
C
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/* SPDX-License-Identifier: GPL-2.0+ */
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/* longlong.h -- definitions for mixed size 32/64 bit arithmetic.
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Copyright (C) 1991, 1992, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2004,
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2005 Free Software Foundation, Inc.
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*/
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/* You have to define the following before including this file:
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UWtype -- An unsigned type, default type for operations (typically a "word")
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UHWtype -- An unsigned type, at least half the size of UWtype.
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UDWtype -- An unsigned type, at least twice as large a UWtype
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W_TYPE_SIZE -- size in bits of UWtype
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UQItype -- Unsigned 8 bit type.
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SItype, USItype -- Signed and unsigned 32 bit types.
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DItype, UDItype -- Signed and unsigned 64 bit types.
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On a 32 bit machine UWtype should typically be USItype;
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on a 64 bit machine, UWtype should typically be UDItype. */
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#define __BITS4 (W_TYPE_SIZE / 4)
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#define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2))
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#define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1))
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#define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2))
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#ifndef W_TYPE_SIZE
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#define W_TYPE_SIZE 32
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#define UWtype USItype
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#define UHWtype USItype
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#define UDWtype UDItype
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#endif
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extern const UQItype __clz_tab[256];
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/* Define auxiliary asm macros.
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1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two
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UWtype integers MULTIPLIER and MULTIPLICAND, and generates a two UWtype
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word product in HIGH_PROD and LOW_PROD.
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2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a
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UDWtype product. This is just a variant of umul_ppmm.
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3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
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denominator) divides a UDWtype, composed by the UWtype integers
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HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient
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in QUOTIENT and the remainder in REMAINDER. HIGH_NUMERATOR must be less
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than DENOMINATOR for correct operation. If, in addition, the most
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significant bit of DENOMINATOR must be 1, then the pre-processor symbol
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UDIV_NEEDS_NORMALIZATION is defined to 1.
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4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator,
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denominator). Like udiv_qrnnd but the numbers are signed. The quotient
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is rounded towards 0.
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5) count_leading_zeros(count, x) counts the number of zero-bits from the
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msb to the first nonzero bit in the UWtype X. This is the number of
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steps X needs to be shifted left to set the msb. Undefined for X == 0,
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unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value.
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6) count_trailing_zeros(count, x) like count_leading_zeros, but counts
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from the least significant end.
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7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1,
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high_addend_2, low_addend_2) adds two UWtype integers, composed by
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HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2
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respectively. The result is placed in HIGH_SUM and LOW_SUM. Overflow
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(i.e. carry out) is not stored anywhere, and is lost.
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8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend,
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high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers,
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composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and
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LOW_SUBTRAHEND_2 respectively. The result is placed in HIGH_DIFFERENCE
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and LOW_DIFFERENCE. Overflow (i.e. carry out) is not stored anywhere,
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and is lost.
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If any of these macros are left undefined for a particular CPU,
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C macros are used. */
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/* The CPUs come in alphabetical order below.
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Please add support for more CPUs here, or improve the current support
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for the CPUs below!
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(E.g. WE32100, IBM360.) */
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/* Snipped per CPU support */
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/* If this machine has no inline assembler, use C macros. */
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#if !defined (add_ssaaaa)
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#define add_ssaaaa(sh, sl, ah, al, bh, bl) \
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do { \
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UWtype __x; \
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__x = (al) + (bl); \
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(sh) = (ah) + (bh) + (__x < (al)); \
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(sl) = __x; \
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} while (0)
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#endif
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#if !defined (sub_ddmmss)
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#define sub_ddmmss(sh, sl, ah, al, bh, bl) \
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do { \
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UWtype __x; \
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__x = (al) - (bl); \
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(sh) = (ah) - (bh) - (__x > (al)); \
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(sl) = __x; \
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} while (0)
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#endif
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/* If we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of
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smul_ppmm. */
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#if !defined (umul_ppmm) && defined (smul_ppmm)
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#define umul_ppmm(w1, w0, u, v) \
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do { \
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UWtype __w1; \
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UWtype __xm0 = (u), __xm1 = (v); \
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smul_ppmm (__w1, w0, __xm0, __xm1); \
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(w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \
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+ (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \
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} while (0)
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#endif
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/* If we still don't have umul_ppmm, define it using plain C. */
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#if !defined (umul_ppmm)
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#define umul_ppmm(w1, w0, u, v) \
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do { \
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UWtype __x0, __x1, __x2, __x3; \
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UHWtype __ul, __vl, __uh, __vh; \
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\
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__ul = __ll_lowpart (u); \
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__uh = __ll_highpart (u); \
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__vl = __ll_lowpart (v); \
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__vh = __ll_highpart (v); \
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\
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__x0 = (UWtype) __ul * __vl; \
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__x1 = (UWtype) __ul * __vh; \
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__x2 = (UWtype) __uh * __vl; \
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__x3 = (UWtype) __uh * __vh; \
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\
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__x1 += __ll_highpart (__x0);/* this can't give carry */ \
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__x1 += __x2; /* but this indeed can */ \
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if (__x1 < __x2) /* did we get it? */ \
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__x3 += __ll_B; /* yes, add it in the proper pos. */ \
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\
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(w1) = __x3 + __ll_highpart (__x1); \
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(w0) = __ll_lowpart (__x1) * __ll_B + __ll_lowpart (__x0); \
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} while (0)
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#endif
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#if !defined (__umulsidi3)
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#define __umulsidi3(u, v) \
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({DWunion __w; \
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umul_ppmm (__w.s.high, __w.s.low, u, v); \
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__w.ll; })
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#endif
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/* Define this unconditionally, so it can be used for debugging. */
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#define __udiv_qrnnd_c(q, r, n1, n0, d) \
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do { \
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UWtype __d1, __d0, __q1, __q0; \
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UWtype __r1, __r0, __m; \
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__d1 = __ll_highpart (d); \
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__d0 = __ll_lowpart (d); \
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\
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__r1 = (n1) % __d1; \
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__q1 = (n1) / __d1; \
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__m = (UWtype) __q1 * __d0; \
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__r1 = __r1 * __ll_B | __ll_highpart (n0); \
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if (__r1 < __m) \
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{ \
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__q1--, __r1 += (d); \
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if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */\
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if (__r1 < __m) \
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__q1--, __r1 += (d); \
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} \
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__r1 -= __m; \
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\
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__r0 = __r1 % __d1; \
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__q0 = __r1 / __d1; \
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__m = (UWtype) __q0 * __d0; \
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__r0 = __r0 * __ll_B | __ll_lowpart (n0); \
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if (__r0 < __m) \
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{ \
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__q0--, __r0 += (d); \
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if (__r0 >= (d)) \
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if (__r0 < __m) \
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__q0--, __r0 += (d); \
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} \
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__r0 -= __m; \
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\
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(q) = (UWtype) __q1 * __ll_B | __q0; \
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(r) = __r0; \
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} while (0)
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/* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through
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__udiv_w_sdiv (defined in libgcc or elsewhere). */
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#if !defined (udiv_qrnnd) && defined (sdiv_qrnnd)
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#define udiv_qrnnd(q, r, nh, nl, d) \
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do { \
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USItype __r; \
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(q) = __udiv_w_sdiv (&__r, nh, nl, d); \
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(r) = __r; \
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} while (0)
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#endif
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/* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c. */
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#if !defined (udiv_qrnnd)
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#define UDIV_NEEDS_NORMALIZATION 1
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#define udiv_qrnnd __udiv_qrnnd_c
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#endif
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#if !defined (count_leading_zeros)
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#define count_leading_zeros(count, x) \
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do { \
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UWtype __xr = (x); \
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UWtype __a; \
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\
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if (W_TYPE_SIZE <= 32) \
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{ \
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__a = __xr < ((UWtype)1<<2*__BITS4) \
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? (__xr < ((UWtype)1<<__BITS4) ? 0 : __BITS4) \
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: (__xr < ((UWtype)1<<3*__BITS4) ? 2*__BITS4 : 3*__BITS4); \
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} \
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else \
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{ \
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for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8) \
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if (((__xr >> __a) & 0xff) != 0) \
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break; \
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} \
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\
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(count) = W_TYPE_SIZE - (__clz_tab[__xr >> __a] + __a); \
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} while (0)
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#define COUNT_LEADING_ZEROS_0 W_TYPE_SIZE
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#endif
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#if !defined (count_trailing_zeros)
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/* Define count_trailing_zeros using count_leading_zeros. The latter might be
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defined in asm, but if it is not, the C version above is good enough. */
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#define count_trailing_zeros(count, x) \
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do { \
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UWtype __ctz_x = (x); \
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UWtype __ctz_c; \
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count_leading_zeros (__ctz_c, __ctz_x & -__ctz_x); \
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(count) = W_TYPE_SIZE - 1 - __ctz_c; \
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} while (0)
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#endif
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#ifndef UDIV_NEEDS_NORMALIZATION
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#define UDIV_NEEDS_NORMALIZATION 0
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#endif
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