udivsi3.S revision 1.1.2.2 1 1.1.2.2 nathanw /* $NetBSD: udivsi3.S,v 1.1.2.2 2002/04/01 07:48:06 nathanw Exp $ */
2 1.1.2.2 nathanw
3 1.1.2.2 nathanw /*-
4 1.1.2.2 nathanw * Copyright (c) 2002 The NetBSD Foundation, Inc.
5 1.1.2.2 nathanw * All rights reserved.
6 1.1.2.2 nathanw *
7 1.1.2.2 nathanw * This code is derived from software contributed to The NetBSD Foundation
8 1.1.2.2 nathanw * by Matthew Fredette.
9 1.1.2.2 nathanw *
10 1.1.2.2 nathanw * Redistribution and use in source and binary forms, with or without
11 1.1.2.2 nathanw * modification, are permitted provided that the following conditions
12 1.1.2.2 nathanw * are met:
13 1.1.2.2 nathanw * 1. Redistributions of source code must retain the above copyright
14 1.1.2.2 nathanw * notice, this list of conditions and the following disclaimer.
15 1.1.2.2 nathanw * 2. Redistributions in binary form must reproduce the above copyright
16 1.1.2.2 nathanw * notice, this list of conditions and the following disclaimer in the
17 1.1.2.2 nathanw * documentation and/or other materials provided with the distribution.
18 1.1.2.2 nathanw * 3. All advertising materials mentioning features or use of this software
19 1.1.2.2 nathanw * must display the following acknowledgement:
20 1.1.2.2 nathanw * This product includes software developed by the NetBSD
21 1.1.2.2 nathanw * Foundation, Inc. and its contributors.
22 1.1.2.2 nathanw * 4. Neither the name of The NetBSD Foundation nor the names of its
23 1.1.2.2 nathanw * contributors may be used to endorse or promote products derived
24 1.1.2.2 nathanw * from this software without specific prior written permission.
25 1.1.2.2 nathanw *
26 1.1.2.2 nathanw * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
27 1.1.2.2 nathanw * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
28 1.1.2.2 nathanw * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
29 1.1.2.2 nathanw * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
30 1.1.2.2 nathanw * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
31 1.1.2.2 nathanw * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
32 1.1.2.2 nathanw * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
33 1.1.2.2 nathanw * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
34 1.1.2.2 nathanw * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
35 1.1.2.2 nathanw * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
36 1.1.2.2 nathanw * POSSIBILITY OF SUCH DAMAGE.
37 1.1.2.2 nathanw */
38 1.1.2.2 nathanw
39 1.1.2.2 nathanw #include <machine/asm.h>
40 1.1.2.2 nathanw
41 1.1.2.2 nathanw #if defined(LIBC_SCCS) && !defined(lint)
42 1.1.2.2 nathanw RCSID("$NetBSD: udivsi3.S,v 1.1.2.2 2002/04/01 07:48:06 nathanw Exp $");
43 1.1.2.2 nathanw #endif /* LIBC_SCCS and not lint */
44 1.1.2.2 nathanw
45 1.1.2.2 nathanw ENTRY(__udivsi3)
46 1.1.2.2 nathanw movel %d2, %sp@- | save %d2
47 1.1.2.2 nathanw movel %sp@(12), %d0 | load divisor
48 1.1.2.2 nathanw movel %sp@(8), %d1 | load dividend
49 1.1.2.2 nathanw
50 1.1.2.2 nathanw | first, we divide the divisor and dividend by two until
51 1.1.2.2 nathanw | the divisor fits into 16 bits:
52 1.1.2.2 nathanw 1: cmpil #0x10000, %d0
53 1.1.2.2 nathanw bcs 2f
54 1.1.2.2 nathanw lsrl #1, %d0
55 1.1.2.2 nathanw lsrl #1, %d1
56 1.1.2.2 nathanw bra 1b
57 1.1.2.2 nathanw 2:
58 1.1.2.2 nathanw
59 1.1.2.2 nathanw | now we can do the divide. to avoid overflow, we have to
60 1.1.2.2 nathanw | do the divide in two parts, high and low, and add the
61 1.1.2.2 nathanw | results together:
62 1.1.2.2 nathanw movew %d1, %d2 | save low(dividend)
63 1.1.2.2 nathanw clrw %d1
64 1.1.2.2 nathanw swap %d1 | %d1 = dividend >> 16
65 1.1.2.2 nathanw divuw %d0, %d1 | do the high divide
66 1.1.2.2 nathanw moveal %d1, %a1 | save high divide result
67 1.1.2.2 nathanw movew %d2, %d1 | concat(remainder, low(dividend))
68 1.1.2.2 nathanw divuw %d0, %d1 | do the low divide
69 1.1.2.2 nathanw movel %a1, %d0 | recover high divide result
70 1.1.2.2 nathanw swap %d0
71 1.1.2.2 nathanw clrw %d0 | %d0 = finished high divide result
72 1.1.2.2 nathanw andil #0xffff, %d1 | %d1 = finished low divide result
73 1.1.2.2 nathanw addl %d1, %d0 | %d0 = quotient guess
74 1.1.2.2 nathanw
75 1.1.2.2 nathanw | the quotient we have so far is only a guess. the divide we
76 1.1.2.2 nathanw | did above was really the divide of some dividendB by some
77 1.1.2.2 nathanw | divisorB, where the following hold:
78 1.1.2.2 nathanw |
79 1.1.2.2 nathanw | (dividend - divisor) <= dividendB <= dividend
80 1.1.2.2 nathanw | (divisor / 2) < divisorB <= divisor
81 1.1.2.2 nathanw |
82 1.1.2.2 nathanw | so our guess quotient cannot be less than our real desired
83 1.1.2.2 nathanw | quotient. however, it might be one too big.
84 1.1.2.2 nathanw |
85 1.1.2.2 nathanw | to adjust this quotient, we multiply it by the original
86 1.1.2.2 nathanw | divisor and subtract the result from the original dividend.
87 1.1.2.2 nathanw | if the result is nonnegative, our guessed quotient was
88 1.1.2.2 nathanw | correct, and the subtraction result is our remainder.
89 1.1.2.2 nathanw | if the result is negative, our guessed quotient was one
90 1.1.2.2 nathanw | too big, and the subtraction result plus the original
91 1.1.2.2 nathanw | divisor is our remainder.
92 1.1.2.2 nathanw |
93 1.1.2.2 nathanw | as in mulsi3, we have to do the multiply in stages to avoid
94 1.1.2.2 nathanw | overflow:
95 1.1.2.2 nathanw
96 1.1.2.2 nathanw movel %sp@(12), %d2 | load divisor
97 1.1.2.2 nathanw swap %d2
98 1.1.2.2 nathanw movel %d0, %d1
99 1.1.2.2 nathanw muluw %d2, %d1 | high(divisor) * low(guess)
100 1.1.2.2 nathanw moveal %d1, %a1 | save high(divisor) * low(guess)
101 1.1.2.2 nathanw swap %d2
102 1.1.2.2 nathanw movel %d0, %d1
103 1.1.2.2 nathanw swap %d1
104 1.1.2.2 nathanw muluw %d2, %d1 | low(divisor) * high(guess)
105 1.1.2.2 nathanw addl %a1, %d1
106 1.1.2.2 nathanw swap %d1
107 1.1.2.2 nathanw clrw %d1 | %d1 = finished high multiply result
108 1.1.2.2 nathanw moveal %d2, %a1 | save original divisor
109 1.1.2.2 nathanw muluw %d0, %d2 | low(guess) * low(divisor)
110 1.1.2.2 nathanw addl %d1, %d2 | %d2 = guess * divisor
111 1.1.2.2 nathanw
112 1.1.2.2 nathanw movel %sp@(8), %d1 | load original dividend
113 1.1.2.2 nathanw subl %d2, %d1 | subtract
114 1.1.2.2 nathanw bcc 3f
115 1.1.2.2 nathanw subql #1, %d0 | adjust quotient
116 1.1.2.2 nathanw addl %a1, %d1 | adjust remainder
117 1.1.2.2 nathanw 3: movel %sp@+, %d2 | restore %d2
118 1.1.2.2 nathanw rts
119