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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. PowerPC version.
+
+ .text
+
+# Unsigned division and modulus
+
+# This function computes both the quotient and the remainder of two
+# unsigned 64-bit integers.
+
+# Input: numerator N in (r3,r4), divisor D in (r5,r6)
+# Output: quotient Q in (r7,r8), remainder R in (r3,r4)
+# Locals: mask M in (r9,r10)
+
+ .globl __i64_udivmod
+ .balign 16
+__i64_udivmod:
+ # Set up quotient and mask
+ li r8, 0 # Q = 0
+ li r7, 0
+ li r10, 1 # M = 1
+ li r9, 0
+ # Check for zero divisor
+ or. r0, r6, r5
+ beqlr # return with unspecified quotient & remainder
+ # Scale divisor and mask
+1: cmpwi r5, 0 # while top bit of D is zero...
+ blt 2f
+ subfc r0, r6, r4 # compute borrow out of N - D
+ subfe r0, r5, r3
+ subfe. r0, r0, r0 # EQ iff no borrow iff N >= D
+ bne 2f # ... and while N >= D ...
+ addc r6, r6, r6 # scale divisor: D = D << 1
+ adde r5, r5, r5
+ addc r10, r10, r10 # scale mask: M = M << 1
+ adde r9, r9, r9
+ b 1b # end while
+ # Long division
+2: subfc r4, r6, r4 # Q = Q | M, N = N - D, and compute borrow
+ or r8, r8, r10
+ subfe r3, r5, r3
+ or r7, r7, r9
+ subfe. r0, r0, r0 # test borrow
+ beq 3f # no borrow: N >= D, continue
+ addc r4, r4, r6 # borrow: undo what we just did to N and Q
+ andc r8, r8, r10
+ adde r3, r3, r5
+ andc r7, r7, r9
+3: slwi r0, r9, 31 # unscale mask: M = M >> 1
+ srwi r10, r10, 1
+ or r10, r10, r0
+ srwi r9, r9, 1
+ slwi r0, r5, 31 # unscale divisor: D = D >> 1
+ srwi r6, r6, 1
+ or r6, r6, r0
+ srwi r5, r5, 1
+ or. r0, r10, r9 # iterate while M != 0
+ bne 2b
+ blr
+
+ .type __i64_udivmod, @function
+ .size __i64_udivmod, .-__i64_udivmod