/* 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 |