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+/* $Id: urem.S,v 1.4 1996/09/30 02:22:42 davem Exp $
+ * urem.S: This routine was taken from glibc-1.09 and is covered
+ * by the GNU Library General Public License Version 2.
+ */
+
+/* This file is generated from divrem.m4; DO NOT EDIT! */
+/*
+ * Division and remainder, from Appendix E of the Sparc Version 8
+ * Architecture Manual, with fixes from Gordon Irlam.
+ */
+
+/*
+ * Input: dividend and divisor in %o0 and %o1 respectively.
+ *
+ * m4 parameters:
+ * .urem name of function to generate
+ * rem rem=div => %o0 / %o1; rem=rem => %o0 % %o1
+ * false false=true => signed; false=false => unsigned
+ *
+ * Algorithm parameters:
+ * N how many bits per iteration we try to get (4)
+ * WORDSIZE total number of bits (32)
+ *
+ * Derived constants:
+ * TOPBITS number of bits in the top decade of a number
+ *
+ * Important variables:
+ * Q the partial quotient under development (initially 0)
+ * R the remainder so far, initially the dividend
+ * ITER number of main division loop iterations required;
+ * equal to ceil(log2(quotient) / N). Note that this
+ * is the log base (2^N) of the quotient.
+ * V the current comparand, initially divisor*2^(ITER*N-1)
+ *
+ * Cost:
+ * Current estimate for non-large dividend is
+ * ceil(log2(quotient) / N) * (10 + 7N/2) + C
+ * A large dividend is one greater than 2^(31-TOPBITS) and takes a
+ * different path, as the upper bits of the quotient must be developed
+ * one bit at a time.
+ */
+
+ .globl .urem
+.urem:
+
+ ! Ready to divide. Compute size of quotient; scale comparand.
+ orcc %o1, %g0, %o5
+ bne 1f
+ mov %o0, %o3
+
+ ! Divide by zero trap. If it returns, return 0 (about as
+ ! wrong as possible, but that is what SunOS does...).
+ ta ST_DIV0
+ retl
+ clr %o0
+
+1:
+ cmp %o3, %o5 ! if %o1 exceeds %o0, done
+ blu Lgot_result ! (and algorithm fails otherwise)
+ clr %o2
+
+ sethi %hi(1 << (32 - 4 - 1)), %g1
+
+ cmp %o3, %g1
+ blu Lnot_really_big
+ clr %o4
+
+ ! Here the dividend is >= 2**(31-N) or so. We must be careful here,
+ ! as our usual N-at-a-shot divide step will cause overflow and havoc.
+ ! The number of bits in the result here is N*ITER+SC, where SC <= N.
+ ! Compute ITER in an unorthodox manner: know we need to shift V into
+ ! the top decade: so do not even bother to compare to R.
+ 1:
+ cmp %o5, %g1
+ bgeu 3f
+ mov 1, %g7
+
+ sll %o5, 4, %o5
+
+ b 1b
+ add %o4, 1, %o4
+
+ ! Now compute %g7.
+ 2:
+ addcc %o5, %o5, %o5
+ bcc Lnot_too_big
+ add %g7, 1, %g7
+
+ ! We get here if the %o1 overflowed while shifting.
+ ! This means that %o3 has the high-order bit set.
+ ! Restore %o5 and subtract from %o3.
+ sll %g1, 4, %g1 ! high order bit
+ srl %o5, 1, %o5 ! rest of %o5
+ add %o5, %g1, %o5
+
+ b Ldo_single_div
+ sub %g7, 1, %g7
+
+ Lnot_too_big:
+ 3:
+ cmp %o5, %o3
+ blu 2b
+ nop
+
+ be Ldo_single_div
+ nop
+ /* NB: these are commented out in the V8-Sparc manual as well */
+ /* (I do not understand this) */
+ ! %o5 > %o3: went too far: back up 1 step
+ ! srl %o5, 1, %o5
+ ! dec %g7
+ ! do single-bit divide steps
+ !
+ ! We have to be careful here. We know that %o3 >= %o5, so we can do the
+ ! first divide step without thinking. BUT, the others are conditional,
+ ! and are only done if %o3 >= 0. Because both %o3 and %o5 may have the high-
+ ! order bit set in the first step, just falling into the regular
+ ! division loop will mess up the first time around.
+ ! So we unroll slightly...
+ Ldo_single_div:
+ subcc %g7, 1, %g7
+ bl Lend_regular_divide
+ nop
+
+ sub %o3, %o5, %o3
+ mov 1, %o2
+
+ b Lend_single_divloop
+ nop
+ Lsingle_divloop:
+ sll %o2, 1, %o2
+ bl 1f
+ srl %o5, 1, %o5
+ ! %o3 >= 0
+ sub %o3, %o5, %o3
+ b 2f
+ add %o2, 1, %o2
+ 1: ! %o3 < 0
+ add %o3, %o5, %o3
+ sub %o2, 1, %o2
+ 2:
+ Lend_single_divloop:
+ subcc %g7, 1, %g7
+ bge Lsingle_divloop
+ tst %o3
+
+ b,a Lend_regular_divide
+
+Lnot_really_big:
+1:
+ sll %o5, 4, %o5
+
+ cmp %o5, %o3
+ bleu 1b
+ addcc %o4, 1, %o4
+
+ be Lgot_result
+ sub %o4, 1, %o4
+
+ tst %o3 ! set up for initial iteration
+Ldivloop:
+ sll %o2, 4, %o2
+ ! depth 1, accumulated bits 0
+ bl L.1.16
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 2, accumulated bits 1
+ bl L.2.17
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 3, accumulated bits 3
+ bl L.3.19
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 4, accumulated bits 7
+ bl L.4.23
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (7*2+1), %o2
+
+L.4.23:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (7*2-1), %o2
+
+L.3.19:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 4, accumulated bits 5
+ bl L.4.21
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (5*2+1), %o2
+
+L.4.21:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (5*2-1), %o2
+
+L.2.17:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 3, accumulated bits 1
+ bl L.3.17
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 4, accumulated bits 3
+ bl L.4.19
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (3*2+1), %o2
+
+L.4.19:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (3*2-1), %o2
+
+L.3.17:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 4, accumulated bits 1
+ bl L.4.17
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (1*2+1), %o2
+
+L.4.17:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (1*2-1), %o2
+
+L.1.16:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 2, accumulated bits -1
+ bl L.2.15
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 3, accumulated bits -1
+ bl L.3.15
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 4, accumulated bits -1
+ bl L.4.15
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-1*2+1), %o2
+
+L.4.15:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-1*2-1), %o2
+
+L.3.15:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 4, accumulated bits -3
+ bl L.4.13
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-3*2+1), %o2
+
+L.4.13:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-3*2-1), %o2
+
+L.2.15:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 3, accumulated bits -3
+ bl L.3.13
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ ! depth 4, accumulated bits -5
+ bl L.4.11
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-5*2+1), %o2
+
+L.4.11:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-5*2-1), %o2
+
+L.3.13:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ ! depth 4, accumulated bits -7
+ bl L.4.9
+ srl %o5,1,%o5
+ ! remainder is positive
+ subcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-7*2+1), %o2
+
+L.4.9:
+ ! remainder is negative
+ addcc %o3,%o5,%o3
+ b 9f
+ add %o2, (-7*2-1), %o2
+
+ 9:
+Lend_regular_divide:
+ subcc %o4, 1, %o4
+ bge Ldivloop
+ tst %o3
+
+ bl,a Lgot_result
+ ! non-restoring fixup here (one instruction only!)
+ add %o3, %o1, %o3
+
+Lgot_result:
+
+ retl
+ mov %o3, %o0
+
+ .globl .urem_patch
+.urem_patch:
+ wr %g0, 0x0, %y
+ nop
+ nop
+ nop
+ udiv %o0, %o1, %o2
+ umul %o2, %o1, %o2
+ retl
+ sub %o0, %o2, %o0