1 /* longlong.h -- definitions for mixed size 32/64 bit arithmetic. 2 Copyright (C) 1991, 1992, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2004, 3 2005 Free Software Foundation, Inc. 4 5 * SPDX-License-Identifier: GPL-2.0+ 6 */ 7 8 /* You have to define the following before including this file: 9 10 UWtype -- An unsigned type, default type for operations (typically a "word") 11 UHWtype -- An unsigned type, at least half the size of UWtype. 12 UDWtype -- An unsigned type, at least twice as large a UWtype 13 W_TYPE_SIZE -- size in bits of UWtype 14 15 UQItype -- Unsigned 8 bit type. 16 SItype, USItype -- Signed and unsigned 32 bit types. 17 DItype, UDItype -- Signed and unsigned 64 bit types. 18 19 On a 32 bit machine UWtype should typically be USItype; 20 on a 64 bit machine, UWtype should typically be UDItype. */ 21 22 #define __BITS4 (W_TYPE_SIZE / 4) 23 #define __ll_B ((UWtype) 1 << (W_TYPE_SIZE / 2)) 24 #define __ll_lowpart(t) ((UWtype) (t) & (__ll_B - 1)) 25 #define __ll_highpart(t) ((UWtype) (t) >> (W_TYPE_SIZE / 2)) 26 27 #ifndef W_TYPE_SIZE 28 #define W_TYPE_SIZE 32 29 #define UWtype USItype 30 #define UHWtype USItype 31 #define UDWtype UDItype 32 #endif 33 34 extern const UQItype __clz_tab[256]; 35 36 /* Define auxiliary asm macros. 37 38 1) umul_ppmm(high_prod, low_prod, multiplier, multiplicand) multiplies two 39 UWtype integers MULTIPLIER and MULTIPLICAND, and generates a two UWtype 40 word product in HIGH_PROD and LOW_PROD. 41 42 2) __umulsidi3(a,b) multiplies two UWtype integers A and B, and returns a 43 UDWtype product. This is just a variant of umul_ppmm. 44 45 3) udiv_qrnnd(quotient, remainder, high_numerator, low_numerator, 46 denominator) divides a UDWtype, composed by the UWtype integers 47 HIGH_NUMERATOR and LOW_NUMERATOR, by DENOMINATOR and places the quotient 48 in QUOTIENT and the remainder in REMAINDER. HIGH_NUMERATOR must be less 49 than DENOMINATOR for correct operation. If, in addition, the most 50 significant bit of DENOMINATOR must be 1, then the pre-processor symbol 51 UDIV_NEEDS_NORMALIZATION is defined to 1. 52 53 4) sdiv_qrnnd(quotient, remainder, high_numerator, low_numerator, 54 denominator). Like udiv_qrnnd but the numbers are signed. The quotient 55 is rounded towards 0. 56 57 5) count_leading_zeros(count, x) counts the number of zero-bits from the 58 msb to the first nonzero bit in the UWtype X. This is the number of 59 steps X needs to be shifted left to set the msb. Undefined for X == 0, 60 unless the symbol COUNT_LEADING_ZEROS_0 is defined to some value. 61 62 6) count_trailing_zeros(count, x) like count_leading_zeros, but counts 63 from the least significant end. 64 65 7) add_ssaaaa(high_sum, low_sum, high_addend_1, low_addend_1, 66 high_addend_2, low_addend_2) adds two UWtype integers, composed by 67 HIGH_ADDEND_1 and LOW_ADDEND_1, and HIGH_ADDEND_2 and LOW_ADDEND_2 68 respectively. The result is placed in HIGH_SUM and LOW_SUM. Overflow 69 (i.e. carry out) is not stored anywhere, and is lost. 70 71 8) sub_ddmmss(high_difference, low_difference, high_minuend, low_minuend, 72 high_subtrahend, low_subtrahend) subtracts two two-word UWtype integers, 73 composed by HIGH_MINUEND_1 and LOW_MINUEND_1, and HIGH_SUBTRAHEND_2 and 74 LOW_SUBTRAHEND_2 respectively. The result is placed in HIGH_DIFFERENCE 75 and LOW_DIFFERENCE. Overflow (i.e. carry out) is not stored anywhere, 76 and is lost. 77 78 If any of these macros are left undefined for a particular CPU, 79 C macros are used. */ 80 81 /* The CPUs come in alphabetical order below. 82 83 Please add support for more CPUs here, or improve the current support 84 for the CPUs below! 85 (E.g. WE32100, IBM360.) */ 86 87 /* Snipped per CPU support */ 88 89 /* If this machine has no inline assembler, use C macros. */ 90 91 #if !defined (add_ssaaaa) 92 #define add_ssaaaa(sh, sl, ah, al, bh, bl) \ 93 do { \ 94 UWtype __x; \ 95 __x = (al) + (bl); \ 96 (sh) = (ah) + (bh) + (__x < (al)); \ 97 (sl) = __x; \ 98 } while (0) 99 #endif 100 101 #if !defined (sub_ddmmss) 102 #define sub_ddmmss(sh, sl, ah, al, bh, bl) \ 103 do { \ 104 UWtype __x; \ 105 __x = (al) - (bl); \ 106 (sh) = (ah) - (bh) - (__x > (al)); \ 107 (sl) = __x; \ 108 } while (0) 109 #endif 110 111 /* If we lack umul_ppmm but have smul_ppmm, define umul_ppmm in terms of 112 smul_ppmm. */ 113 #if !defined (umul_ppmm) && defined (smul_ppmm) 114 #define umul_ppmm(w1, w0, u, v) \ 115 do { \ 116 UWtype __w1; \ 117 UWtype __xm0 = (u), __xm1 = (v); \ 118 smul_ppmm (__w1, w0, __xm0, __xm1); \ 119 (w1) = __w1 + (-(__xm0 >> (W_TYPE_SIZE - 1)) & __xm1) \ 120 + (-(__xm1 >> (W_TYPE_SIZE - 1)) & __xm0); \ 121 } while (0) 122 #endif 123 124 /* If we still don't have umul_ppmm, define it using plain C. */ 125 #if !defined (umul_ppmm) 126 #define umul_ppmm(w1, w0, u, v) \ 127 do { \ 128 UWtype __x0, __x1, __x2, __x3; \ 129 UHWtype __ul, __vl, __uh, __vh; \ 130 \ 131 __ul = __ll_lowpart (u); \ 132 __uh = __ll_highpart (u); \ 133 __vl = __ll_lowpart (v); \ 134 __vh = __ll_highpart (v); \ 135 \ 136 __x0 = (UWtype) __ul * __vl; \ 137 __x1 = (UWtype) __ul * __vh; \ 138 __x2 = (UWtype) __uh * __vl; \ 139 __x3 = (UWtype) __uh * __vh; \ 140 \ 141 __x1 += __ll_highpart (__x0);/* this can't give carry */ \ 142 __x1 += __x2; /* but this indeed can */ \ 143 if (__x1 < __x2) /* did we get it? */ \ 144 __x3 += __ll_B; /* yes, add it in the proper pos. */ \ 145 \ 146 (w1) = __x3 + __ll_highpart (__x1); \ 147 (w0) = __ll_lowpart (__x1) * __ll_B + __ll_lowpart (__x0); \ 148 } while (0) 149 #endif 150 151 #if !defined (__umulsidi3) 152 #define __umulsidi3(u, v) \ 153 ({DWunion __w; \ 154 umul_ppmm (__w.s.high, __w.s.low, u, v); \ 155 __w.ll; }) 156 #endif 157 158 /* Define this unconditionally, so it can be used for debugging. */ 159 #define __udiv_qrnnd_c(q, r, n1, n0, d) \ 160 do { \ 161 UWtype __d1, __d0, __q1, __q0; \ 162 UWtype __r1, __r0, __m; \ 163 __d1 = __ll_highpart (d); \ 164 __d0 = __ll_lowpart (d); \ 165 \ 166 __r1 = (n1) % __d1; \ 167 __q1 = (n1) / __d1; \ 168 __m = (UWtype) __q1 * __d0; \ 169 __r1 = __r1 * __ll_B | __ll_highpart (n0); \ 170 if (__r1 < __m) \ 171 { \ 172 __q1--, __r1 += (d); \ 173 if (__r1 >= (d)) /* i.e. we didn't get carry when adding to __r1 */\ 174 if (__r1 < __m) \ 175 __q1--, __r1 += (d); \ 176 } \ 177 __r1 -= __m; \ 178 \ 179 __r0 = __r1 % __d1; \ 180 __q0 = __r1 / __d1; \ 181 __m = (UWtype) __q0 * __d0; \ 182 __r0 = __r0 * __ll_B | __ll_lowpart (n0); \ 183 if (__r0 < __m) \ 184 { \ 185 __q0--, __r0 += (d); \ 186 if (__r0 >= (d)) \ 187 if (__r0 < __m) \ 188 __q0--, __r0 += (d); \ 189 } \ 190 __r0 -= __m; \ 191 \ 192 (q) = (UWtype) __q1 * __ll_B | __q0; \ 193 (r) = __r0; \ 194 } while (0) 195 196 /* If the processor has no udiv_qrnnd but sdiv_qrnnd, go through 197 __udiv_w_sdiv (defined in libgcc or elsewhere). */ 198 #if !defined (udiv_qrnnd) && defined (sdiv_qrnnd) 199 #define udiv_qrnnd(q, r, nh, nl, d) \ 200 do { \ 201 USItype __r; \ 202 (q) = __udiv_w_sdiv (&__r, nh, nl, d); \ 203 (r) = __r; \ 204 } while (0) 205 #endif 206 207 /* If udiv_qrnnd was not defined for this processor, use __udiv_qrnnd_c. */ 208 #if !defined (udiv_qrnnd) 209 #define UDIV_NEEDS_NORMALIZATION 1 210 #define udiv_qrnnd __udiv_qrnnd_c 211 #endif 212 213 #if !defined (count_leading_zeros) 214 #define count_leading_zeros(count, x) \ 215 do { \ 216 UWtype __xr = (x); \ 217 UWtype __a; \ 218 \ 219 if (W_TYPE_SIZE <= 32) \ 220 { \ 221 __a = __xr < ((UWtype)1<<2*__BITS4) \ 222 ? (__xr < ((UWtype)1<<__BITS4) ? 0 : __BITS4) \ 223 : (__xr < ((UWtype)1<<3*__BITS4) ? 2*__BITS4 : 3*__BITS4); \ 224 } \ 225 else \ 226 { \ 227 for (__a = W_TYPE_SIZE - 8; __a > 0; __a -= 8) \ 228 if (((__xr >> __a) & 0xff) != 0) \ 229 break; \ 230 } \ 231 \ 232 (count) = W_TYPE_SIZE - (__clz_tab[__xr >> __a] + __a); \ 233 } while (0) 234 #define COUNT_LEADING_ZEROS_0 W_TYPE_SIZE 235 #endif 236 237 #if !defined (count_trailing_zeros) 238 /* Define count_trailing_zeros using count_leading_zeros. The latter might be 239 defined in asm, but if it is not, the C version above is good enough. */ 240 #define count_trailing_zeros(count, x) \ 241 do { \ 242 UWtype __ctz_x = (x); \ 243 UWtype __ctz_c; \ 244 count_leading_zeros (__ctz_c, __ctz_x & -__ctz_x); \ 245 (count) = W_TYPE_SIZE - 1 - __ctz_c; \ 246 } while (0) 247 #endif 248 249 #ifndef UDIV_NEEDS_NORMALIZATION 250 #define UDIV_NEEDS_NORMALIZATION 0 251 #endif 252