152 строки
3.8 KiB
C
152 строки
3.8 KiB
C
|
/*
|
||
|
* arch/s390/lib/div64.c
|
||
|
*
|
||
|
* __div64_32 implementation for 31 bit.
|
||
|
*
|
||
|
* Copyright (C) IBM Corp. 2006
|
||
|
* Author(s): Martin Schwidefsky (schwidefsky@de.ibm.com),
|
||
|
*/
|
||
|
|
||
|
#include <linux/types.h>
|
||
|
#include <linux/module.h>
|
||
|
|
||
|
#ifdef CONFIG_MARCH_G5
|
||
|
|
||
|
/*
|
||
|
* Function to divide an unsigned 64 bit integer by an unsigned
|
||
|
* 31 bit integer using signed 64/32 bit division.
|
||
|
*/
|
||
|
static uint32_t __div64_31(uint64_t *n, uint32_t base)
|
||
|
{
|
||
|
register uint32_t reg2 asm("2");
|
||
|
register uint32_t reg3 asm("3");
|
||
|
uint32_t *words = (uint32_t *) n;
|
||
|
uint32_t tmp;
|
||
|
|
||
|
/* Special case base==1, remainder = 0, quotient = n */
|
||
|
if (base == 1)
|
||
|
return 0;
|
||
|
/*
|
||
|
* Special case base==0 will cause a fixed point divide exception
|
||
|
* on the dr instruction and may not happen anyway. For the
|
||
|
* following calculation we can assume base > 1. The first
|
||
|
* signed 64 / 32 bit division with an upper half of 0 will
|
||
|
* give the correct upper half of the 64 bit quotient.
|
||
|
*/
|
||
|
reg2 = 0UL;
|
||
|
reg3 = words[0];
|
||
|
asm volatile(
|
||
|
" dr %0,%2\n"
|
||
|
: "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
|
||
|
words[0] = reg3;
|
||
|
reg3 = words[1];
|
||
|
/*
|
||
|
* To get the lower half of the 64 bit quotient and the 32 bit
|
||
|
* remainder we have to use a little trick. Since we only have
|
||
|
* a signed division the quotient can get too big. To avoid this
|
||
|
* the 64 bit dividend is halved, then the signed division will
|
||
|
* work. Afterwards the quotient and the remainder are doubled.
|
||
|
* If the last bit of the dividend has been one the remainder
|
||
|
* is increased by one then checked against the base. If the
|
||
|
* remainder has overflown subtract base and increase the
|
||
|
* quotient. Simple, no ?
|
||
|
*/
|
||
|
asm volatile(
|
||
|
" nr %2,%1\n"
|
||
|
" srdl %0,1\n"
|
||
|
" dr %0,%3\n"
|
||
|
" alr %0,%0\n"
|
||
|
" alr %1,%1\n"
|
||
|
" alr %0,%2\n"
|
||
|
" clr %0,%3\n"
|
||
|
" jl 0f\n"
|
||
|
" slr %0,%3\n"
|
||
|
" alr %1,%2\n"
|
||
|
"0:\n"
|
||
|
: "+d" (reg2), "+d" (reg3), "=d" (tmp)
|
||
|
: "d" (base), "2" (1UL) : "cc" );
|
||
|
words[1] = reg3;
|
||
|
return reg2;
|
||
|
}
|
||
|
|
||
|
/*
|
||
|
* Function to divide an unsigned 64 bit integer by an unsigned
|
||
|
* 32 bit integer using the unsigned 64/31 bit division.
|
||
|
*/
|
||
|
uint32_t __div64_32(uint64_t *n, uint32_t base)
|
||
|
{
|
||
|
uint32_t r;
|
||
|
|
||
|
/*
|
||
|
* If the most significant bit of base is set, divide n by
|
||
|
* (base/2). That allows to use 64/31 bit division and gives a
|
||
|
* good approximation of the result: n = (base/2)*q + r. The
|
||
|
* result needs to be corrected with two simple transformations.
|
||
|
* If base is already < 2^31-1 __div64_31 can be used directly.
|
||
|
*/
|
||
|
r = __div64_31(n, ((signed) base < 0) ? (base/2) : base);
|
||
|
if ((signed) base < 0) {
|
||
|
uint64_t q = *n;
|
||
|
/*
|
||
|
* First transformation:
|
||
|
* n = (base/2)*q + r
|
||
|
* = ((base/2)*2)*(q/2) + ((q&1) ? (base/2) : 0) + r
|
||
|
* Since r < (base/2), r + (base/2) < base.
|
||
|
* With q1 = (q/2) and r1 = r + ((q&1) ? (base/2) : 0)
|
||
|
* n = ((base/2)*2)*q1 + r1 with r1 < base.
|
||
|
*/
|
||
|
if (q & 1)
|
||
|
r += base/2;
|
||
|
q >>= 1;
|
||
|
/*
|
||
|
* Second transformation. ((base/2)*2) could have lost the
|
||
|
* last bit.
|
||
|
* n = ((base/2)*2)*q1 + r1
|
||
|
* = base*q1 - ((base&1) ? q1 : 0) + r1
|
||
|
*/
|
||
|
if (base & 1) {
|
||
|
int64_t rx = r - q;
|
||
|
/*
|
||
|
* base is >= 2^31. The worst case for the while
|
||
|
* loop is n=2^64-1 base=2^31+1. That gives a
|
||
|
* maximum for q=(2^64-1)/2^31 = 0x1ffffffff. Since
|
||
|
* base >= 2^31 the loop is finished after a maximum
|
||
|
* of three iterations.
|
||
|
*/
|
||
|
while (rx < 0) {
|
||
|
rx += base;
|
||
|
q--;
|
||
|
}
|
||
|
r = rx;
|
||
|
}
|
||
|
*n = q;
|
||
|
}
|
||
|
return r;
|
||
|
}
|
||
|
|
||
|
#else /* MARCH_G5 */
|
||
|
|
||
|
uint32_t __div64_32(uint64_t *n, uint32_t base)
|
||
|
{
|
||
|
register uint32_t reg2 asm("2");
|
||
|
register uint32_t reg3 asm("3");
|
||
|
uint32_t *words = (uint32_t *) n;
|
||
|
|
||
|
reg2 = 0UL;
|
||
|
reg3 = words[0];
|
||
|
asm volatile(
|
||
|
" dlr %0,%2\n"
|
||
|
: "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
|
||
|
words[0] = reg3;
|
||
|
reg3 = words[1];
|
||
|
asm volatile(
|
||
|
" dlr %0,%2\n"
|
||
|
: "+d" (reg2), "+d" (reg3) : "d" (base) : "cc" );
|
||
|
words[1] = reg3;
|
||
|
return reg2;
|
||
|
}
|
||
|
|
||
|
#endif /* MARCH_G5 */
|
||
|
|
||
|
EXPORT_SYMBOL(__div64_32);
|