patch-2.4.0-test12 linux/arch/alpha/lib/ev6-divide.S

• Lines: 260
• Date: Sun Dec 3 17:45:20 2000
• Orig file: v2.4.0-test11/linux/arch/alpha/lib/ev6-divide.S
• Orig date: Wed Dec 31 16:00:00 1969

diff -u --recursive --new-file v2.4.0-test11/linux/arch/alpha/lib/ev6-divide.S linux/arch/alpha/lib/ev6-divide.S
@@ -0,0 +1,259 @@
+/*
+ * arch/alpha/lib/ev6-divide.S
+ *
+ * 21264 version contributed by Rick Gorton <rick.gorton@alpha-processor.com>
+ *
+ * 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
+ *
+ * Much of the information about 21264 scheduling/coding comes from:
+ *	Compiler Writer's Guide for the Alpha 21264
+ *	abbreviated as 'CWG' in other comments here
+ *	ftp.digital.com/pub/Digital/info/semiconductor/literature/dsc-library.html
+ * Scheduling notation:
+ *	E	- either cluster
+ *	U	- upper subcluster; U0 - subcluster U0; U1 - subcluster U1
+ *	L	- lower subcluster; L0 - subcluster L0; L1 - subcluster L1
+ * Try not to change the actual algorithm if possible for consistency.
+ */
+
+#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	4
+.globl	ufunction
+.ent	ufunction
+ufunction:
+	subq	$30,STACK,$30		# E :
+	.frame	$30,STACK,$23
+	.prologue 0
+
+7:	stq	$1, 0($30)		# L :
+	bis	$25,$25,divisor		# E :
+	stq	$2, 8($30)		# L : L U L U
+
+	bis	$24,$24,modulus		# E :
+	stq	$0,16($30)		# L :
+	bis	$31,$31,quotient	# E :
+	LONGIFY(divisor)		# E : U L L U
+
+	stq	tmp1,24($30)		# L :
+	LONGIFY(modulus)		# E :
+	bis	$31,1,mask		# E :
+	DIV_ONLY(stq tmp2,32($30))	# L : L U U L
+
+	beq	divisor, 9f			/* div by zero */
+	/*
+	 * In spite of the DIV_ONLY being either a non-instruction
+	 * or an actual stq, the addition of the .align directive
+	 * below ensures that label 1 is going to be nicely aligned
+	 */
+
+	.align	4
+#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	# E :
+	s8addq	divisor,$31,divisor	# E :
+	s8addq	mask,$31,mask		# E :
+	bne	compare,1b		# U : U L U L
+#else
+1:	cmpult	divisor,modulus,compare	# E :
+	nop				# E :
+	nop				# E :
+	blt     divisor, 2f		# U : U L U L
+
+	addq	divisor,divisor,divisor	# E :
+	addq	mask,mask,mask		# E :
+	unop				# E :
+	bne	compare,1b		# U : U L U L
+#endif
+
+	/* ok, start to go right again.. */
+2:
+	/*
+	 * Keep things nicely bundled... use a nop instead of not
+	 * having an instruction for DIV_ONLY
+	 */
+#ifdef DIV
+	DIV_ONLY(addq quotient,mask,tmp2) # E :
+#else
+	nop				# E :
+#endif
+	srl	mask,1,mask		# U :
+	cmpule	divisor,modulus,compare	# E :
+	subq	modulus,divisor,tmp1	# E :
+
+#ifdef DIV
+	DIV_ONLY(cmovne compare,tmp2,quotient)	# E : Latency 2, extra map slot
+	nop				# E : as part of the cmovne
+	srl	divisor,1,divisor	# U :
+	nop				# E : L U L U
+
+	nop				# E :
+	cmovne	compare,tmp1,modulus	# E : Latency 2, extra map slot
+	nop				# E : as part of the cmovne
+	bne	mask,2b			# U : U L U L
+#else
+	srl	divisor,1,divisor	# U :
+	cmovne	compare,tmp1,modulus	# E : Latency 2, extra map slot
+	nop				# E : as part of the cmovne
+	bne	mask,2b			# U : U L L U
+#endif
+
+9:	ldq	$1, 0($30)		# L :
+	ldq	$2, 8($30)		# L :
+	nop				# E :
+	nop				# E : U U L L
+
+	ldq	$0,16($30)		# L :
+	ldq	tmp1,24($30)		# L :
+	nop				# E :
+	nop				# E :
+
+#ifdef DIV
+	DIV_ONLY(ldq tmp2,32($30))	# L :
+#else
+	nop				# E :
+#endif
+	addq	$30,STACK,$30		# E :
+	ret	$31,($23),1		# L0 : L U U L
+	.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 4
+.globl	sfunction
+.ent	sfunction
+sfunction:
+	subq	$30,STACK,$30		# E :
+	.frame	$30,STACK,$23
+	.prologue 0
+	bis	$24,$25,$28		# E :
+	SLONGIFY($28)			# E :
+	bge	$28,7b			# U :
+
+	stq	$24,0($30)		# L :
+	subq	$31,$24,$28		# E :
+	stq	$25,8($30)		# L :
+	nop				# E : U L U L
+
+	cmovlt	$24,$28,$24	/* abs($24) */ # E : Latency 2, extra map slot
+	nop				# E : as part of the cmov
+	stq	$23,16($30)		# L :
+	subq	$31,$25,$28		# E : U L U L
+
+	stq	tmp1,24($30)		# L :
+	cmovlt	$25,$28,$25	/* abs($25) */ # E : Latency 2, extra map slot
+	nop				# E :
+	bsr	$23,ufunction		# L0: L U L U
+
+	ldq	$24,0($30)		# L :
+	ldq	$25,8($30)		# L :
+	GETSIGN($28)			# E :
+	subq	$31,$27,tmp1		# E : U U L L
+
+	SLONGIFY($28)			# E :
+	ldq	$23,16($30)		# L :
+	cmovlt	$28,tmp1,$27		# E : Latency 2, extra map slot
+	nop				# E : U L L U : as part of the cmov
+
+	ldq	tmp1,24($30)		# L :
+	nop				# E : as part of the cmov
+	addq	$30,STACK,$30		# E :
+	ret	$31,($23),1		# L0 : L U U L
+	.end	sfunction