aboutsummaryrefslogtreecommitdiffstats
path: root/arch/alpha/lib/divide.S
blob: 2d1a0484a99e009e3e198f47f77b06194b50006d (plain) (blame)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
/*
 * 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