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1// This file is dual licensed under the MIT and the University of Illinois Open
2// Source Licenses. See LICENSE.TXT for details.
3
4#include "../assembly.h"
5
6// du_int __udivdi3(du_int a, du_int b);
7
8// result = a / b.
9// both inputs and the output are 64-bit unsigned integers.
10// This will do whatever the underlying hardware is set to do on division by zero.
11// No other exceptions are generated, as the divide cannot overflow.
12//
13// This is targeted at 32-bit x86 *only*, as this can be done directly in hardware
14// on x86_64. The performance goal is ~40 cycles per divide, which is faster than
15// currently possible via simulation of integer divides on the x87 unit.
16//
17// Stephen Canon, December 2008
18
19#ifdef __i386__
20
21.text
92a42be0 22.balign 4
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23DEFINE_COMPILERRT_FUNCTION(__udivdi3)
24
25 pushl %ebx
26 movl 20(%esp), %ebx // Find the index i of the leading bit in b.
27 bsrl %ebx, %ecx // If the high word of b is zero, jump to
28 jz 9f // the code to handle that special case [9].
29
30 /* High word of b is known to be non-zero on this branch */
31
32 movl 16(%esp), %eax // Construct bhi, containing bits [1+i:32+i] of b
33
34 shrl %cl, %eax // Practically, this means that bhi is given by:
35 shrl %eax //
36 notl %ecx // bhi = (high word of b) << (31 - i) |
37 shll %cl, %ebx // (low word of b) >> (1 + i)
38 orl %eax, %ebx //
39 movl 12(%esp), %edx // Load the high and low words of a, and jump
40 movl 8(%esp), %eax // to [1] if the high word is larger than bhi
41 cmpl %ebx, %edx // to avoid overflowing the upcoming divide.
42 jae 1f
43
44 /* High word of a is greater than or equal to (b >> (1 + i)) on this branch */
45
46 divl %ebx // eax <-- qs, edx <-- r such that ahi:alo = bs*qs + r
47
48 pushl %edi
49 notl %ecx
50 shrl %eax
51 shrl %cl, %eax // q = qs >> (1 + i)
52 movl %eax, %edi
53 mull 20(%esp) // q*blo
54 movl 12(%esp), %ebx
55 movl 16(%esp), %ecx // ECX:EBX = a
56 subl %eax, %ebx
57 sbbl %edx, %ecx // ECX:EBX = a - q*blo
58 movl 24(%esp), %eax
59 imull %edi, %eax // q*bhi
60 subl %eax, %ecx // ECX:EBX = a - q*b
61 sbbl $0, %edi // decrement q if remainder is negative
62 xorl %edx, %edx
63 movl %edi, %eax
64 popl %edi
65 popl %ebx
66 retl
67
68
691: /* High word of a is greater than or equal to (b >> (1 + i)) on this branch */
70
71 subl %ebx, %edx // subtract bhi from ahi so that divide will not
72 divl %ebx // overflow, and find q and r such that
73 //
74 // ahi:alo = (1:q)*bhi + r
75 //
76 // Note that q is a number in (31-i).(1+i)
77 // fix point.
78
79 pushl %edi
80 notl %ecx
81 shrl %eax
82 orl $0x80000000, %eax
83 shrl %cl, %eax // q = (1:qs) >> (1 + i)
84 movl %eax, %edi
85 mull 20(%esp) // q*blo
86 movl 12(%esp), %ebx
87 movl 16(%esp), %ecx // ECX:EBX = a
88 subl %eax, %ebx
89 sbbl %edx, %ecx // ECX:EBX = a - q*blo
90 movl 24(%esp), %eax
91 imull %edi, %eax // q*bhi
92 subl %eax, %ecx // ECX:EBX = a - q*b
93 sbbl $0, %edi // decrement q if remainder is negative
94 xorl %edx, %edx
95 movl %edi, %eax
96 popl %edi
97 popl %ebx
98 retl
99
100
1019: /* High word of b is zero on this branch */
102
103 movl 12(%esp), %eax // Find qhi and rhi such that
104 movl 16(%esp), %ecx //
105 xorl %edx, %edx // ahi = qhi*b + rhi with 0 ≤ rhi < b
106 divl %ecx //
107 movl %eax, %ebx //
108 movl 8(%esp), %eax // Find qlo such that
109 divl %ecx //
110 movl %ebx, %edx // rhi:alo = qlo*b + rlo with 0 ≤ rlo < b
111 popl %ebx //
112 retl // and return qhi:qlo
113END_COMPILERRT_FUNCTION(__udivdi3)
114
115#endif // __i386__
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116
117NO_EXEC_STACK_DIRECTIVE
118