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-# *****************************************************************
-#
-# The Compcert verified compiler
-#
-# Xavier Leroy, INRIA Paris-Rocquencourt
-#
-# Copyright (c) 2013 Institut National de Recherche en Informatique et
-# en Automatique.
-#
-# Redistribution and use in source and binary forms, with or without
-# modification, are permitted provided that the following conditions are met:
-# * Redistributions of source code must retain the above copyright
-# notice, this list of conditions and the following disclaimer.
-# * Redistributions in binary form must reproduce the above copyright
-# notice, this list of conditions and the following disclaimer in the
-# documentation and/or other materials provided with the distribution.
-# * Neither the name of the <organization> nor the
-# names of its contributors may be used to endorse or promote products
-# derived from this software without specific prior written permission.
-#
-# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
-# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
-# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
-# A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT
-# HOLDER> BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-# EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-# PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-# PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-# LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-#
-# *********************************************************************
-
-# Helper functions for 64-bit integer arithmetic. IA32 version.
-
-# Division and remainder
-
-# Auxiliary function, never called directly from C code
-# Input: 20(esp), 24(esp) is dividend N
-# 28(esp), 32(esp) is divisor D
-# Output: esi:edi is quotient Q
-# eax:edx is remainder R
-# ebp is preserved
-
- .text
- .globl __i64_udivmod
- .balign 16
-__i64_udivmod:
- cmpl $0, 32(%esp) # single-word divisor? (DH = 0)
- jne 1f
- # Special case 64 bits divided by 32 bits
- movl 28(%esp), %ecx # divide NH by DL
- movl 24(%esp), %eax # (will trap if D = 0)
- xorl %edx, %edx
- divl %ecx # eax = quotient, edx = remainder
- movl %eax, %edi # high word of quotient in edi
- movl 20(%esp), %eax # divide rem : NL by DL
- divl %ecx # eax = quotient, edx = remainder
- movl %eax, %esi # low word of quotient in esi */
- movl %edx, %eax # low word of remainder in eax
- xorl %edx, %edx # high word of remainder is 0, in edx
- ret
- # The general case
-1: movl 28(%esp), %ecx # esi:ecx = D
- movl 32(%esp), %esi
- movl 20(%esp), %eax # edx:eax = N
- movl 24(%esp), %edx
- # Scale D and N down, giving D' and N', until D' fits in 32 bits
-2: shrl $1, %esi # shift D' right by one
- rcrl $1, %ecx
- shrl $1, %edx # shift N' right by one
- rcrl $1, %eax
- testl %esi, %esi # repeat until D'H = 0
- jnz 2b
- # Divide N' by D' to get an approximate quotient
- divl %ecx # eax = quotient, edx = remainder
- movl %eax, %esi # save tentative quotient Q in esi
- # Check for off by one quotient
- # Compute Q * D
-3: movl 32(%esp), %ecx
- imull %esi, %ecx # ecx = Q * DH
- movl 28(%esp), %eax
- mull %esi # edx:eax = Q * DL
- add %ecx, %edx # edx:eax = Q * D
- jc 5f # overflow in addition means Q is too high
- # Compare Q * D with N, computing the remainder in the process
- movl %eax, %ecx
- movl 20(%esp), %eax
- subl %ecx, %eax
- movl %edx, %ecx
- movl 24(%esp), %edx
- sbbl %ecx, %edx # edx:eax = N - Q * D
- jnc 4f # no carry: N >= Q * D, we are fine
- decl %esi # carry: N < Q * D, adjust Q down by 1
- addl 28(%esp), %eax # and remainder up by D
- adcl 32(%esp), %edx
- # Finished
-4: xorl %edi, %edi # high half of quotient is 0
- ret
- # Special case when Q * D overflows
-5: decl %esi # adjust Q down by 1
- jmp 3b # and redo check & computation of remainder
-
- .type __i64_udivmod, @function
- .size __i64_udivmod, . - __i64_udivmod