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- # Alpha ev6 mpn_addmul_1 -- Multiply a limb vector with a limb and add
- # the result to a second limb vector.
- #
- #  Copyright (C) 2000 Free Software Foundation, Inc.
- #
- #  This file is part of the GNU MP Library.
- #
- #  The GNU MP Library is free software; you can redistribute it and/or modify
- #  it under the terms of the GNU Lesser General Public License as published
- #  by the Free Software Foundation; either version 2.1 of the License, or (at
- #  your option) any later version.
- #
- #  The GNU MP Library is distributed in the hope that it will be useful, but
- #  WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
- #  or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
- #  License for more details.
- #
- #  You should have received a copy of the GNU Lesser General Public License
- #  along with the GNU MP Library; see the file COPYING.LIB.  If not, write to
- #  the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- #  MA 02111-1307, USA.
-
- #  INPUT PARAMETERS
- #  res_ptr	$16
- #  s1_ptr	$17
- #  size	$18
- #  s2_limb	$19
- #
- #  This code runs at 42 cycles/limb on EV4, 18 cycles/limb on EV5, and
- #  exactly 3.625 cycles/limb on EV6...
- #
- # This code was written in close cooperation with ev6 pipeline expert
- # Steve Root (root@toober.hlo.dec.com).  Any errors are tege's fault, though.
- #
- #   Register usages for unrolled loop:
- #	  0-3     mul's
- #	  4-7     acc's
- #	  8-15    mul results
- #	  20,21   carry's
- #	  22,23   save for stores
- #
- #   Sustains 8 mul-adds in 29 cycles in the unrolled inner loop.
- #
- #   The stores can issue a cycle late so we have paired no-op's to 'catch'
- #   them, so that further disturbance to the schedule is damped.
- #
- #   We couldn't pair the loads, because the entangled schedule of the
- #   carry's has to happen on one side {0} of the machine. Note, the total
- #   use of U0, and the total use of L0 (after attending to the stores).
- #   which is part of the reason why....
- #
- #   This is a great schedule for the d_cache, a poor schedule for the
- #   b_cache. The lockup on U0 means that any stall can't be recovered
- #   from. Consider a ldq in L1.  say that load gets stalled because it
- #   collides with a fill from the b_Cache. On the next cycle, this load
- #   gets priority. If first looks at L0, and goes there. The instruction
- #   we intended for L0 gets to look at L1, which is NOT where we want
- #   it. It either stalls 1, because it can't go in L0, or goes there, and
- #   causes a further instruction to stall.
- #
- #   So for b_cache, we're likely going to want to put one or more cycles
- #   back into the code! And, of course, put in prefetches. For the
- #   accumulator, lds, intent to modify.  For the multiplier, you might
- #   want ldq, evict next, if you're not wanting to use it again soon. Use
- #   256 ahead of present pointer value. At a place where we have an mt
- #   followed by a bookkeeping, put the bookkeeping in upper, and the
- #   prefetch into lower.
- #
- #   Note, the usage of physical registers per cycle is smoothed off, as
- #   much as possible.
- #
- #   Note, the ldq's and stq's are at the end of the quadpacks.  note, we'd
- #   like not to have a ldq or stq to preceded a conditional branch in a
- #   quadpack. The conditional branch moves the retire pointer one cycle
- #   later.
- #
- #   Optimization notes:
- #   Callee-saves regs: $9 $10 $11 $12 $13 $14 $15 $26 ?$27?
- #   Reserved regs:	 $29 $30 $31
- #   Free caller-saves regs in unrolled code: $24 $25 $28
- #   We should swap some of the callee-saves regs for some of the free
- #   caller-saves regs, saving some overhead cycles.
- #   Most importantly, we should write fast code for the 0-7 case.
- #   The code we use there are for the 21164, and runs at 7 cycles/limb
- #   on the 21264.  Should not be hard, if we write specialized code for
- #   1-7 limbs (the one for 0 limbs should be straightforward).  We then just
- #   need a jump table indexed by the low 3 bits of the count argument.
-
-	.set	noreorder
-	.set	noat
-	.text
-
-	.globl	__mpn_addmul_1
-	.ent	__mpn_addmul_1
-__mpn_addmul_1:
-	.frame	$30,0,$26,0
-	.prologue 0
-
-	cmpult	$18,	8,	$1
-	beq	$1,	$Large
-
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	subq	$18,	1,	$18	# size--
-	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	umulh	$2,	$19,	$0	# $0 = prod_high
-	beq	$18,	$Lend0b		# jump if size was == 1
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	subq	$18,	1,	$18	# size--
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$4
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	beq	$18,	$Lend0a		# jump if size was == 2
-
-	.align 3
-$Loop0:	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	addq	$4,	$0,	$0	# cy_limb = cy_limb + 'cy'
-	subq	$18,	1,	$18	# size--
-	umulh	$2,	$19,	$4	# $4 = cy_limb
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	addq	$3,	$0,	$3	# $3 = cy_limb + prod_low
-	cmpult	$3,	$0,	$0	# $0 = carry from (cy_limb + prod_low)
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	addq	$5,	$0,	$0	# combine carries
-	bne	$18,	$Loop0
-$Lend0a:
-	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	addq	$4,	$0,	$0	# cy_limb = cy_limb + 'cy'
-	umulh	$2,	$19,	$4	# $4 = cy_limb
-	addq	$3,	$0,	$3	# $3 = cy_limb + prod_low
-	cmpult	$3,	$0,	$0	# $0 = carry from (cy_limb + prod_low)
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$5,	$0,	$0	# combine carries
-	addq	$4,	$0,	$0	# cy_limb = prod_high + cy
-	ret	$31,	($26),	1
-$Lend0b:
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$0,	$5,	$0
-	ret	$31,	($26),	1
-
-$Large:
-	lda	$30,	-240($30)
-	stq	$9,	8($30)
-	stq	$10,	16($30)
-	stq	$11,	24($30)
-	stq	$12,	32($30)
-	stq	$13,	40($30)
-	stq	$14,	48($30)
-	stq	$15,	56($30)
-
-	and	$18,	7,	$20	# count for the first loop, 0-7
-	srl	$18,	3,	$18	# count for unrolled loop
-	bis	$31,	$31,	$0
-	beq	$20,	$Lunroll
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	subq	$20,	1,	$20	# size--
-	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	umulh	$2,	$19,	$0	# $0 = prod_high
-	beq	$20,	$Lend1b		# jump if size was == 1
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	subq	$20,	1,	$20	# size--
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$4
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	beq	$20,	$Lend1a		# jump if size was == 2
-
-	.align 3
-$Loop1:	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	addq	$4,	$0,	$0	# cy_limb = cy_limb + 'cy'
-	subq	$20,	1,	$20	# size--
-	umulh	$2,	$19,	$4	# $4 = cy_limb
-	ldq	$2,	0($17)		# $2 = s1_limb
-	addq	$17,	8,	$17	# s1_ptr++
-	addq	$3,	$0,	$3	# $3 = cy_limb + prod_low
-	cmpult	$3,	$0,	$0	# $0 = carry from (cy_limb + prod_low)
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	addq	$5,	$0,	$0	# combine carries
-	bne	$20,	$Loop1
-
-$Lend1a:
-	mulq	$2,	$19,	$3	# $3 = prod_low
-	ldq	$5,	0($16)		# $5 = *res_ptr
-	addq	$4,	$0,	$0	# cy_limb = cy_limb + 'cy'
-	umulh	$2,	$19,	$4	# $4 = cy_limb
-	addq	$3,	$0,	$3	# $3 = cy_limb + prod_low
-	cmpult	$3,	$0,	$0	# $0 = carry from (cy_limb + prod_low)
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	addq	$5,	$0,	$0	# combine carries
-	addq	$4,	$0,	$0	# cy_limb = prod_high + cy
-	br	$31,	$Lunroll
-$Lend1b:
-	addq	$5,	$3,	$3
-	cmpult	$3,	$5,	$5
-	stq	$3,	0($16)
-	addq	$16,	8,	$16	# res_ptr++
-	addq	$0,	$5,	$0
-
-$Lunroll:
-	lda	$17,	-16($17)	# L1 bookkeeping
-	lda	$16,	-16($16)	# L1 bookkeeping
-	bis	$0,	$31,	$12
-
- # ____ UNROLLED LOOP SOFTWARE PIPELINE STARTUP ____
-
-	ldq	$2,	16($17)		# L1
-	ldq	$3,	24($17)		# L1
-	lda	$18,	-1($18)		# L1 bookkeeping
-	ldq	$6,	16($16)		# L1
-	ldq	$7,	24($16)		# L1
-	ldq	$0,	32($17)		# L1
-	mulq	$19,	$2,	$13	# U1
-	ldq	$1,	40($17)		# L1
-	umulh	$19,	$2,	$14	# U1
-	mulq	$19,	$3,	$15	# U1
-	lda	$17,	64($17)		# L1 bookkeeping
-	ldq	$4,	32($16)		# L1
-	ldq	$5,	40($16)		# L1
-	umulh	$19,	$3,	$8	# U1
-	ldq	$2,	-16($17)	# L1
-	mulq	$19,	$0,	$9	# U1
-	ldq	$3,	-8($17)		# L1
-	umulh	$19,	$0,	$10	# U1
-	addq	$6,	$13,	$6	# L0 lo + acc
-	mulq	$19,	$1,	$11	# U1
-	cmpult	$6,	$13,	$20	# L0 lo add => carry
-	lda	$16,	64($16)		# L1 bookkeeping
-	addq	$6,	$12,	$22	# U0 hi add => answer
-	cmpult	$22,	$12,	$21	# L0 hi add => carry
-	addq	$14,	$20,	$14	# U0 hi mul + carry
-	ldq	$6,	-16($16)	# L1
-	addq	$7,	$15,	$23	# L0 lo + acc
-	addq	$14,	$21,	$14	# U0 hi mul + carry
-	ldq	$7,	-8($16)		# L1
-	umulh	$19,	$1,	$12	# U1
-	cmpult	$23,	$15,	$20	# L0 lo add => carry
-	addq	$23,	$14,	$23	# U0 hi add => answer
-	ldq	$0,	0($17)		# L1
-	mulq	$19,	$2,	$13	# U1
-	cmpult	$23,	$14,	$21	# L0 hi add => carry
-	addq	$8,	$20,	$8	# U0 hi mul + carry
-	ldq	$1,	8($17)		# L1
-	umulh	$19,	$2,	$14	# U1
-	addq	$4,	$9,	$4	# L0 lo + acc
-	stq	$22,	-48($16)	# L0
-	stq	$23,	-40($16)	# L1
-	mulq	$19,	$3,	$15	# U1
-	addq	$8,	$21,	$8	# U0 hi mul + carry
-	cmpult	$4,	$9,	$20	# L0 lo add => carry
-	addq	$4,	$8,	$22	# U0 hi add => answer
-	ble	$18,	$Lend		# U1 bookkeeping
-
- # ____ MAIN UNROLLED LOOP ____
-	.align 4
-$Loop:
-	bis	$31,	$31,	$31	# U1 mt
-	cmpult	$22,	$8,	$21	# L0 hi add => carry
-	addq	$10,	$20,	$10	# U0 hi mul + carry
-	ldq	$4,	0($16)		# L1
-
-	bis	$31,	$31,	$31	# U1 mt
-	addq	$5,	$11,	$23	# L0 lo + acc
-	addq	$10,	$21,	$10	# L0 hi mul + carry
-	ldq	$5,	8($16)		# L1
-
-	umulh	$19,	$3,	$8	# U1
-	cmpult	$23,	$11,	$20	# L0 lo add => carry
-	addq	$23,	$10,	$23	# U0 hi add => answer
-	ldq	$2,	16($17)		# L1
-
-	mulq	$19,	$0,	$9	# U1
-	cmpult	$23,	$10,	$21	# L0 hi add => carry
-	addq	$12,	$20,	$12	# U0 hi mul + carry
-	ldq	$3,	24($17)		# L1
-
-	umulh	$19,	$0,	$10	# U1
-	addq	$6,	$13,	$6	# L0 lo + acc
-	stq	$22,	-32($16)	# L0
-	stq	$23,	-24($16)	# L1
-
-	bis	$31,	$31,	$31	# L0 st slosh
-	mulq	$19,	$1,	$11	# U1
-	bis	$31,	$31,	$31	# L1 st slosh
-	addq	$12,	$21,	$12	# U0 hi mul + carry
-
-	cmpult	$6,	$13,	$20	# L0 lo add => carry
-	bis	$31,	$31,	$31	# U1 mt
-	lda	$18,	-1($18)		# L1 bookkeeping
-	addq	$6,	$12,	$22	# U0 hi add => answer
-
-	bis	$31,	$31,	$31	# U1 mt
-	cmpult	$22,	$12,	$21	# L0 hi add => carry
-	addq	$14,	$20,	$14	# U0 hi mul + carry
-	ldq	$6,	16($16)		# L1
-
-	bis	$31,	$31,	$31	# U1 mt
-	addq	$7,	$15,	$23	# L0 lo + acc
-	addq	$14,	$21,	$14	# U0 hi mul + carry
-	ldq	$7,	24($16)		# L1
-
-	umulh	$19,	$1,	$12	# U1
-	cmpult	$23,	$15,	$20	# L0 lo add => carry
-	addq	$23,	$14,	$23	# U0 hi add => answer
-	ldq	$0,	32($17)		# L1
-
-	mulq	$19,	$2,	$13	# U1
-	cmpult	$23,	$14,	$21	# L0 hi add => carry
-	addq	$8,	$20,	$8	# U0 hi mul + carry
-	ldq	$1,	40($17)		# L1
-
-	umulh	$19,	$2,	$14	# U1
-	addq	$4,	$9,	$4	# U0 lo + acc
-	stq	$22,	-16($16)	# L0
-	stq	$23,	-8($16)		# L1
-
-	bis	$31,	$31,	$31	# L0 st slosh
-	mulq	$19,	$3,	$15	# U1
-	bis	$31,	$31,	$31	# L1 st slosh
-	addq	$8,	$21,	$8	# L0 hi mul + carry
-
-	cmpult	$4,	$9,	$20	# L0 lo add => carry
-	bis	$31,	$31,	$31	# U1 mt
-	lda	$17,	64($17)		# L1 bookkeeping
-	addq	$4,	$8,	$22	# U0 hi add => answer
-
-	bis	$31,	$31,	$31	# U1 mt
-	cmpult	$22,	$8,	$21	# L0 hi add => carry
-	addq	$10,	$20,	$10	# U0 hi mul + carry
-	ldq	$4,	32($16)		# L1
-
-	bis	$31,	$31,	$31	# U1 mt
-	addq	$5,	$11,	$23	# L0 lo + acc
-	addq	$10,	$21,	$10	# L0 hi mul + carry
-	ldq	$5,	40($16)		# L1
-
-	umulh	$19,	$3,	$8	# U1
-	cmpult	$23,	$11,	$20	# L0 lo add => carry
-	addq	$23,	$10,	$23	# U0 hi add => answer
-	ldq	$2,	-16($17)	# L1
-
-	mulq	$19,	$0,	$9	# U1
-	cmpult	$23,	$10,	$21	# L0 hi add => carry
-	addq	$12,	$20,	$12	# U0 hi mul + carry
-	ldq	$3,	-8($17)		# L1
-
-	umulh	$19,	$0,	$10	# U1
-	addq	$6,	$13,	$6	# L0 lo + acc
-	stq	$22,	0($16)		# L0
-	stq	$23,	8($16)		# L1
-
-	bis	$31,	$31,	$31	# L0 st slosh
-	mulq	$19,	$1,	$11	# U1
-	bis	$31,	$31,	$31	# L1 st slosh
-	addq	$12,	$21,	$12	# U0 hi mul + carry
-
-	cmpult	$6,	$13,	$20	# L0 lo add => carry
-	bis	$31,	$31,	$31	# U1 mt
-	lda	$16,	64($16)		# L1 bookkeeping
-	addq	$6,	$12,	$22	# U0 hi add => answer
-
-	bis	$31,	$31,	$31	# U1 mt
-	cmpult	$22,	$12,	$21	# L0 hi add => carry
-	addq	$14,	$20,	$14	# U0 hi mul + carry
-	ldq	$6,	-16($16)	# L1
-
-	bis	$31,	$31,	$31	# U1 mt
-	addq	$7,	$15,	$23	# L0 lo + acc
-	addq	$14,	$21,	$14	# U0 hi mul + carry
-	ldq	$7,	-8($16)		# L1
-
-	umulh	$19,	$1,	$12	# U1
-	cmpult	$23,	$15,	$20	# L0 lo add => carry
-	addq	$23,	$14,	$23	# U0 hi add => answer
-	ldq	$0,	0($17)		# L1
-
-	mulq	$19,	$2,	$13	# U1
-	cmpult	$23,	$14,	$21	# L0 hi add => carry
-	addq	$8,	$20,	$8	# U0 hi mul + carry
-	ldq	$1,	8($17)		# L1
-
-	umulh	$19,	$2,	$14	# U1
-	addq	$4,	$9,	$4	# L0 lo + acc
-	stq	$22,	-48($16)	# L0
-	stq	$23,	-40($16)	# L1
-
-	bis	$31,	$31,	$31	# L0 st slosh
-	mulq	$19,	$3,	$15	# U1
-	bis	$31,	$31,	$31	# L1 st slosh
-	addq	$8,	$21,	$8	# U0 hi mul + carry
-
-	cmpult	$4,	$9,	$20	# L0 lo add => carry
-	addq	$4,	$8,	$22	# U0 hi add => answer
-	bis	$31,	$31,	$31	# L1 mt
-	bgt	$18,	$Loop		# U1 bookkeeping
-
-# ____ UNROLLED LOOP SOFTWARE PIPELINE FINISH ____
-$Lend:
-	cmpult	$22,	$8,	$21	# L0 hi add => carry
-	addq	$10,	$20,	$10	# U0 hi mul + carry
-	ldq	$4,	0($16)		# L1
-	addq	$5,	$11,	$23	# L0 lo + acc
-	addq	$10,	$21,	$10	# L0 hi mul + carry
-	ldq	$5,	8($16)		# L1
-	umulh	$19,	$3,	$8	# U1
-	cmpult	$23,	$11,	$20	# L0 lo add => carry
-	addq	$23,	$10,	$23	# U0 hi add => answer
-	mulq	$19,	$0,	$9	# U1
-	cmpult	$23,	$10,	$21	# L0 hi add => carry
-	addq	$12,	$20,	$12	# U0 hi mul + carry
-	umulh	$19,	$0,	$10	# U1
-	addq	$6,	$13,	$6	# L0 lo + acc
-	stq	$22,	-32($16)	# L0
-	stq	$23,	-24($16)	# L1
-	mulq	$19,	$1,	$11	# U1
-	addq	$12,	$21,	$12	# U0 hi mul + carry
-	cmpult	$6,	$13,	$20	# L0 lo add => carry
-	addq	$6,	$12,	$22	# U0 hi add => answer
-	cmpult	$22,	$12,	$21	# L0 hi add => carry
-	addq	$14,	$20,	$14	# U0 hi mul + carry
-	addq	$7,	$15,	$23	# L0 lo + acc
-	addq	$14,	$21,	$14	# U0 hi mul + carry
-	umulh	$19,	$1,	$12	# U1
-	cmpult	$23,	$15,	$20	# L0 lo add => carry
-	addq	$23,	$14,	$23	# U0 hi add => answer
-	cmpult	$23,	$14,	$21	# L0 hi add => carry
-	addq	$8,	$20,	$8	# U0 hi mul + carry
-	addq	$4,	$9,	$4	# U0 lo + acc
-	stq	$22,	-16($16)	# L0
-	stq	$23,	-8($16)		# L1
-	bis	$31,	$31,	$31	# L0 st slosh
-	addq	$8,	$21,	$8	# L0 hi mul + carry
-	cmpult	$4,	$9,	$20	# L0 lo add => carry
-	addq	$4,	$8,	$22	# U0 hi add => answer
-	cmpult	$22,	$8,	$21	# L0 hi add => carry
-	addq	$10,	$20,	$10	# U0 hi mul + carry
-	addq	$5,	$11,	$23	# L0 lo + acc
-	addq	$10,	$21,	$10	# L0 hi mul + carry
-	cmpult	$23,	$11,	$20	# L0 lo add => carry
-	addq	$23,	$10,	$23	# U0 hi add => answer
-	cmpult	$23,	$10,	$21	# L0 hi add => carry
-	addq	$12,	$20,	$12	# U0 hi mul + carry
-	stq	$22,	0($16)		# L0
-	stq	$23,	8($16)		# L1
-	addq	$12,	$21,	$0	# U0 hi mul + carry
-
-	ldq	$9,	8($30)
-	ldq	$10,	16($30)
-	ldq	$11,	24($30)
-	ldq	$12,	32($30)
-	ldq	$13,	40($30)
-	ldq	$14,	48($30)
-	ldq	$15,	56($30)
-	lda	$30,	240($30)
-	ret	$31,	($26),	1
-
-	.end	__mpn_addmul_1