/* * linux/arch/arm/lib/div64.S * * Optimized computation of 64-bit dividend / 32-bit divisor * * Author: Nicolas Pitre * Created: Oct 5, 2003 * Copyright: Monta Vista Software, Inc. * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License version 2 as * published by the Free Software Foundation. */ #define xl r0 #define xh r1 #define yl r2 #define yh r3 #define UNWIND(x...) #define ARM(x...) x #define THUMB(x...) #define ENTRY(__f) \ .align 3 ;\ .globl __f ;\ .type __f,%function ;\ __f: #define ENDPROC(__f) ;\ .size __f, . - __f /* UINT64 DivU64x32 ( IN UINT64 Dividend, IN UINTN Divisor, OUT UINTN *Remainder OPTIONAL ) // divide 64bit by 32bit and get a 64bit result // N.B. only works for 31bit divisors!! { } */ ENTRY(__DivU64x32) stmfd sp!, {r4-r6, lr} mov r5, r4 @ preserve Remainder mov r4, r2 @ divisor in r4 bl __do_div64 teq r5, #0 strne xh, [r5] mov r0, yl mov r1, yh ldmfd sp!, {r4-r6, pc} ENDPROC(__DivU64x32) /* * __do_div64: perform a division with 64-bit dividend and 32-bit divisor. * * Note: Calling convention is totally non standard for optimal code. * This is meant to be used by do_div() from include/asm/div64.h only. * * Input parameters: * xh-xl = dividend (clobbered) * r4 = divisor (preserved) * * Output values: * yh-yl = result * xh = remainder * * Clobbered regs: xl, ip */ ENTRY(__do_div64) UNWIND(.fnstart) @ Test for easy paths first. subs ip, r4, #1 bls 9f @ divisor is 0 or 1 tst ip, r4 beq 8f @ divisor is power of 2 @ See if we need to handle upper 32-bit result. cmp xh, r4 mov yh, #0 blo 3f @ Align divisor with upper part of dividend. @ The aligned divisor is stored in yl preserving the original. @ The bit position is stored in ip. clz yl, r4 clz ip, xh sub yl, yl, ip mov ip, #1 mov ip, ip, lsl yl mov yl, r4, lsl yl @ The division loop for needed upper bit positions. @ Break out early if dividend reaches 0. 2: cmp xh, yl orrcs yh, yh, ip subcss xh, xh, yl movnes ip, ip, lsr #1 mov yl, yl, lsr #1 bne 2b @ See if we need to handle lower 32-bit result. 3: cmp xh, #0 mov yl, #0 cmpeq xl, r4 movlo xh, xl movlo pc, lr @ The division loop for lower bit positions. @ Here we shift remainer bits leftwards rather than moving the @ divisor for comparisons, considering the carry-out bit as well. mov ip, #0x80000000 4: movs xl, xl, lsl #1 adcs xh, xh, xh beq 6f cmpcc xh, r4 5: orrcs yl, yl, ip subcs xh, xh, r4 movs ip, ip, lsr #1 bne 4b mov pc, lr @ The top part of remainder became zero. If carry is set @ (the 33th bit) this is a false positive so resume the loop. @ Otherwise, if lower part is also null then we are done. 6: bcs 5b cmp xl, #0 moveq pc, lr @ We still have remainer bits in the low part. Bring them up. clz xh, xl @ we know xh is zero here so... add xh, xh, #1 mov xl, xl, lsl xh mov ip, ip, lsr xh @ Current remainder is now 1. It is worthless to compare with @ divisor at this point since divisor can not be smaller than 3 here. @ If possible, branch for another shift in the division loop. @ If no bit position left then we are done. movs ip, ip, lsr #1 mov xh, #1 bne 4b mov pc, lr 8: @ Division by a power of 2: determine what that divisor order is @ then simply shift values around clz ip, r4 rsb ip, ip, #31 mov yh, xh, lsr ip mov yl, xl, lsr ip rsb ip, ip, #32 ARM( orr yl, yl, xh, lsl ip ) THUMB( lsl xh, xh, ip ) THUMB( orr yl, yl, xh ) mov xh, xl, lsl ip mov xh, xh, lsr ip mov pc, lr @ eq -> division by 1: obvious enough... 9: moveq yl, xl moveq yh, xh moveq xh, #0 moveq pc, lr UNWIND(.fnend) UNWIND(.fnstart) UNWIND(.pad #4) UNWIND(.save {lr}) Ldiv0_64: @ Division by 0: str lr, [sp, #-8]! bl __div0 @ as wrong as it could be... mov yl, #0 mov yh, #0 mov xh, #0 ldr pc, [sp], #8 UNWIND(.fnend) ENDPROC(__do_div64)