// ***************************************************************** // // 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 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 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. #include "sysdeps.h" // 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 FUNCTION(__compcert_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 ENDFUNCTION(__compcert_i64_udivmod)