/* * arch/alpha/lib/divide.S * * (C) 1995 Linus Torvalds * * Alpha division.. */ /* * The alpha chip doesn't provide hardware division, so we have to do it * by hand. The compiler expects the functions * * __divqu: 64-bit unsigned long divide * __remqu: 64-bit unsigned long remainder * __divqs/__remqs: signed 64-bit * __divlu/__remlu: unsigned 32-bit * __divls/__remls: signed 32-bit * * These are not normal C functions: instead of the normal * calling sequence, these expect their arguments in registers * $24 and $25, and return the result in $27. Register $28 may * be clobbered (assembly temporary), anything else must be saved. * * In short: painful. * * This is a rather simple bit-at-a-time algorithm: it's very good * at dividing random 64-bit numbers, but the more usual case where * the divisor is small is handled better by the DEC algorithm * using lookup tables. This uses much less memory, though, and is * nicer on the cache.. Besides, I don't know the copyright status * of the DEC code. */ /* * My temporaries: * $0 - current bit * $1 - shifted divisor * $2 - modulus/quotient * * $23 - return address * $24 - dividend * $25 - divisor * * $27 - quotient/modulus * $28 - compare status */ #define halt .long 0 /* * Select function type and registers */ #define mask $0 #define divisor $1 #define compare $28 #define tmp1 $3 #define tmp2 $4 #ifdef DIV #define DIV_ONLY(x,y...) x,##y #define MOD_ONLY(x,y...) #define func(x) __div##x #define modulus $2 #define quotient $27 #define GETSIGN(x) xor $24,$25,x #define STACK 48 #else #define DIV_ONLY(x,y...) #define MOD_ONLY(x,y...) x,##y #define func(x) __rem##x #define modulus $27 #define quotient $2 #define GETSIGN(x) bis $24,$24,x #define STACK 32 #endif /* * For 32-bit operations, we need to extend to 64-bit */ #ifdef INTSIZE #define ufunction func(lu) #define sfunction func(l) #define LONGIFY(x) zapnot x,15,x #define SLONGIFY(x) addl x,0,x #else #define ufunction func(qu) #define sfunction func(q) #define LONGIFY(x) #define SLONGIFY(x) #endif .set noat .align 3 .globl ufunction .ent ufunction ufunction: subq $30,STACK,$30 .frame $30,STACK,$23 .prologue 0 7: stq $1, 0($30) bis $25,$25,divisor stq $2, 8($30) bis $24,$24,modulus stq $0,16($30) bis $31,$31,quotient LONGIFY(divisor) stq tmp1,24($30) LONGIFY(modulus) bis $31,1,mask DIV_ONLY(stq tmp2,32($30)) beq divisor, 9f /* div by zero */ #ifdef INTSIZE /* * shift divisor left, using 3-bit shifts for * 32-bit divides as we can't overflow. Three-bit * shifts will result in looping three times less * here, but can result in two loops more later. * Thus using a large shift isn't worth it (and * s8add pairs better than a sll..) */ 1: cmpult divisor,modulus,compare s8addq divisor,$31,divisor s8addq mask,$31,mask bne compare,1b #else 1: cmpult divisor,modulus,compare blt divisor, 2f addq divisor,divisor,divisor addq mask,mask,mask bne compare,1b unop #endif /* ok, start to go right again.. */ 2: DIV_ONLY(addq quotient,mask,tmp2) srl mask,1,mask cmpule divisor,modulus,compare subq modulus,divisor,tmp1 DIV_ONLY(cmovne compare,tmp2,quotient) srl divisor,1,divisor cmovne compare,tmp1,modulus bne mask,2b 9: ldq $1, 0($30) ldq $2, 8($30) ldq $0,16($30) ldq tmp1,24($30) DIV_ONLY(ldq tmp2,32($30)) addq $30,STACK,$30 ret $31,($23),1 .end ufunction /* * Uhh.. Ugly signed division. I'd rather not have it at all, but * it's needed in some circumstances. There are different ways to * handle this, really. This does: * -a / b = a / -b = -(a / b) * -a % b = -(a % b) * a % -b = a % b * which is probably not the best solution, but at least should * have the property that (x/y)*y + (x%y) = x. */ .align 3 .globl sfunction .ent sfunction sfunction: subq $30,STACK,$30 .frame $30,STACK,$23 .prologue 0 bis $24,$25,$28 SLONGIFY($28) bge $28,7b stq $24,0($30) subq $31,$24,$28 stq $25,8($30) cmovlt $24,$28,$24 /* abs($24) */ stq $23,16($30) subq $31,$25,$28 stq tmp1,24($30) cmovlt $25,$28,$25 /* abs($25) */ unop bsr $23,ufunction ldq $24,0($30) ldq $25,8($30) GETSIGN($28) subq $31,$27,tmp1 SLONGIFY($28) ldq $23,16($30) cmovlt $28,tmp1,$27 ldq tmp1,24($30) addq $30,STACK,$30 ret $31,($23),1 .end sfunction