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- // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
- // See https://llvm.org/LICENSE.txt for license information.
- // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
- #include "../assembly.h"
- // di_int __moddi3(di_int a, di_int b);
- // result = remainder of a / b.
- // both inputs and the output are 64-bit signed integers.
- // This will do whatever the underlying hardware is set to do on division by zero.
- // No other exceptions are generated, as the divide cannot overflow.
- //
- // This is targeted at 32-bit x86 *only*, as this can be done directly in hardware
- // on x86_64. The performance goal is ~40 cycles per divide, which is faster than
- // currently possible via simulation of integer divides on the x87 unit.
- //
- // Stephen Canon, December 2008
- #ifdef __i386__
- .text
- .balign 4
- DEFINE_COMPILERRT_FUNCTION(__moddi3)
- // This is currently implemented by wrapping the unsigned modulus up in an absolute
- // value. This could certainly be improved upon.
- pushl %esi
- movl 20(%esp), %edx // high word of b
- movl 16(%esp), %eax // low word of b
- movl %edx, %ecx
- sarl $31, %ecx // (b < 0) ? -1 : 0
- xorl %ecx, %eax
- xorl %ecx, %edx // EDX:EAX = (b < 0) ? not(b) : b
- subl %ecx, %eax
- sbbl %ecx, %edx // EDX:EAX = abs(b)
- movl %edx, 20(%esp)
- movl %eax, 16(%esp) // store abs(b) back to stack
- movl 12(%esp), %edx // high word of b
- movl 8(%esp), %eax // low word of b
- movl %edx, %ecx
- sarl $31, %ecx // (a < 0) ? -1 : 0
- xorl %ecx, %eax
- xorl %ecx, %edx // EDX:EAX = (a < 0) ? not(a) : a
- subl %ecx, %eax
- sbbl %ecx, %edx // EDX:EAX = abs(a)
- movl %edx, 12(%esp)
- movl %eax, 8(%esp) // store abs(a) back to stack
- movl %ecx, %esi // set aside sign of a
- pushl %ebx
- movl 24(%esp), %ebx // Find the index i of the leading bit in b.
- bsrl %ebx, %ecx // If the high word of b is zero, jump to
- jz 9f // the code to handle that special case [9].
- // High word of b is known to be non-zero on this branch
- movl 20(%esp), %eax // Construct bhi, containing bits [1+i:32+i] of b
- shrl %cl, %eax // Practically, this means that bhi is given by:
- shrl %eax //
- notl %ecx // bhi = (high word of b) << (31 - i) |
- shll %cl, %ebx // (low word of b) >> (1 + i)
- orl %eax, %ebx //
- movl 16(%esp), %edx // Load the high and low words of a, and jump
- movl 12(%esp), %eax // to [2] if the high word is larger than bhi
- cmpl %ebx, %edx // to avoid overflowing the upcoming divide.
- jae 2f
- // High word of a is greater than or equal to (b >> (1 + i)) on this branch
- divl %ebx // eax <-- qs, edx <-- r such that ahi:alo = bs*qs + r
- pushl %edi
- notl %ecx
- shrl %eax
- shrl %cl, %eax // q = qs >> (1 + i)
- movl %eax, %edi
- mull 24(%esp) // q*blo
- movl 16(%esp), %ebx
- movl 20(%esp), %ecx // ECX:EBX = a
- subl %eax, %ebx
- sbbl %edx, %ecx // ECX:EBX = a - q*blo
- movl 28(%esp), %eax
- imull %edi, %eax // q*bhi
- subl %eax, %ecx // ECX:EBX = a - q*b
- jnc 1f // if positive, this is the result.
- addl 24(%esp), %ebx // otherwise
- adcl 28(%esp), %ecx // ECX:EBX = a - (q-1)*b = result
- 1: movl %ebx, %eax
- movl %ecx, %edx
- addl %esi, %eax // Restore correct sign to result
- adcl %esi, %edx
- xorl %esi, %eax
- xorl %esi, %edx
- popl %edi // Restore callee-save registers
- popl %ebx
- popl %esi
- retl // Return
- 2: // High word of a is greater than or equal to (b >> (1 + i)) on this branch
- subl %ebx, %edx // subtract bhi from ahi so that divide will not
- divl %ebx // overflow, and find q and r such that
- //
- // ahi:alo = (1:q)*bhi + r
- //
- // Note that q is a number in (31-i).(1+i)
- // fix point.
- pushl %edi
- notl %ecx
- shrl %eax
- orl $0x80000000, %eax
- shrl %cl, %eax // q = (1:qs) >> (1 + i)
- movl %eax, %edi
- mull 24(%esp) // q*blo
- movl 16(%esp), %ebx
- movl 20(%esp), %ecx // ECX:EBX = a
- subl %eax, %ebx
- sbbl %edx, %ecx // ECX:EBX = a - q*blo
- movl 28(%esp), %eax
- imull %edi, %eax // q*bhi
- subl %eax, %ecx // ECX:EBX = a - q*b
- jnc 3f // if positive, this is the result.
- addl 24(%esp), %ebx // otherwise
- adcl 28(%esp), %ecx // ECX:EBX = a - (q-1)*b = result
- 3: movl %ebx, %eax
- movl %ecx, %edx
- addl %esi, %eax // Restore correct sign to result
- adcl %esi, %edx
- xorl %esi, %eax
- xorl %esi, %edx
- popl %edi // Restore callee-save registers
- popl %ebx
- popl %esi
- retl // Return
- 9: // High word of b is zero on this branch
- movl 16(%esp), %eax // Find qhi and rhi such that
- movl 20(%esp), %ecx //
- xorl %edx, %edx // ahi = qhi*b + rhi with 0 ≤ rhi < b
- divl %ecx //
- movl %eax, %ebx //
- movl 12(%esp), %eax // Find rlo such that
- divl %ecx //
- movl %edx, %eax // rhi:alo = qlo*b + rlo with 0 ≤ rlo < b
- popl %ebx //
- xorl %edx, %edx // and return 0:rlo
- addl %esi, %eax // Restore correct sign to result
- adcl %esi, %edx
- xorl %esi, %eax
- xorl %esi, %edx
- popl %esi
- retl // Return
- END_COMPILERRT_FUNCTION(__moddi3)
- #endif // __i386__
- NO_EXEC_STACK_DIRECTIVE
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