/* 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. * * This definition file 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, or (at your option) any later version. * This definition 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 General Public License for more details. */ /* 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