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|
dnl PowerPC-64 mpn_sqr_basecase.
dnl Contributed to the GNU project by Torbjorn Granlund.
dnl Copyright 1999-2001, 2003-2006, 2008, 2010, 2011 Free Software Foundation,
dnl Inc.
dnl This file is part of the GNU MP Library.
dnl
dnl The GNU MP Library is free software; you can redistribute it and/or modify
dnl it under the terms of either:
dnl
dnl * the GNU Lesser General Public License as published by the Free
dnl Software Foundation; either version 3 of the License, or (at your
dnl option) any later version.
dnl
dnl or
dnl
dnl * the GNU General Public License as published by the Free Software
dnl Foundation; either version 2 of the License, or (at your option) any
dnl later version.
dnl
dnl or both in parallel, as here.
dnl
dnl The GNU MP Library is distributed in the hope that it will be useful, but
dnl WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
dnl for more details.
dnl
dnl You should have received copies of the GNU General Public License and the
dnl GNU Lesser General Public License along with the GNU MP Library. If not,
dnl see https://www.gnu.org/licenses/.
include(`../config.m4')
C cycles/limb
C POWER3/PPC630 6-18
C POWER4/PPC970 8
C POWER5 8
C POWER6 16.25
C POWER7 3.77
C NOTES
C * This is very crude, cleanup!
C * Try to reduce the number of needed live registers.
C * Rewrite for POWER6 to use 8 consecutive muls, not 2 groups of 4. The
C cost will be more live registers.
C * Rewrite for POWER7 to use addmul_2 building blocks; this will reduce code
C size a lot and speed things up perhaps 25%.
C * Use computed goto in order to compress the code.
C * Implement a larger final corner.
C * Schedule callee-saves register saves into other insns. This could save
C about 5 cycles/call. (We cannot analogously optimise the restores, since
C the sqr_diag_addlsh1 loop has no wind-down code as currently written.)
C * Should the alternating std/adde sequences be split? Some pipelines handle
C adde poorly, and might sequentialise all these instructions.
C * The sqr_diag_addlsh1 loop was written for POWER6 and its preferences for
C adjacent integer multiply insns. Except for the multiply insns, the code
C was not carefully optimised for POWER6 or any other CPU.
C * Perform cross-jumping in sqr_diag_addlsh1's feed-in code, into the loop.
C INPUT PARAMETERS
define(`rp', `r3')
define(`up', `r4')
define(`n', `r5')
define(`rp_outer', `r25')
define(`up_outer', `r21')
define(`rp_saved', `r22')
define(`up_saved', `r23')
define(`n_saved', `r24')
ASM_START()
PROLOGUE(mpn_sqr_basecase)
cmpdi cr0, n, 2
bge cr0, L(ge2)
ld r5, 0(up) C n = 1
nop
mulld r8, r5, r5 C weight 0
mulhdu r9, r5, r5 C weight 1
std r8, 0(rp)
std r9, 8(rp)
blr
ALIGN(16)
L(ge2): bgt cr0, L(gt2)
ld r0, 0(up) C n = 2
nop
mulld r8, r0, r0 C u0 * u0
mulhdu r9, r0, r0 C u0 * u0
ld r6, 8(up)
mulld r10, r6, r6 C u1 * u1
mulhdu r11, r6, r6 C u1 * u1
mulld r4, r6, r0 C u1 * u0
mulhdu r5, r6, r0 C u1 * u0
addc r4, r4, r4
adde r5, r5, r5
addze r11, r11
addc r9, r9, r4
adde r10, r10, r5
addze r11, r11
std r8, 0(rp)
std r9, 8(rp)
std r10, 16(rp)
std r11, 24(rp)
blr
ALIGN(16)
L(gt2): std r31, -8(r1)
std r30, -16(r1)
std r29, -24(r1)
std r28, -32(r1)
std r27, -40(r1)
std r26, -48(r1)
std r25, -56(r1)
std r24, -64(r1)
std r23, -72(r1)
std r22, -80(r1)
std r21, -88(r1)
mr rp_saved, rp
mr up_saved, up
mr n_saved, n
mr rp_outer, rp
mr up_outer, up
rldicl. r0, n, 0,62 C r0 = n & 3, set cr0
cmpdi cr6, r0, 2
addic r7, n, 2 C compute count...
srdi r7, r7, 2 C ...for ctr
mtctr r7 C copy count into ctr
beq- cr0, L(b0)
blt- cr6, L(b1)
beq- cr6, L(b2)
L(b3): ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
addi up, up, 24
li r12, 0 C carry limb
bdz L(em3)
ALIGN(16)
L(tm3): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 0(up)
ld r27, 8(up)
adde r0, r0, r12
adde r7, r7, r26
mulld r26, r9, r6
mulhdu r10, r9, r6
mulld r11, r27, r6
mulhdu r12, r27, r6
ld r9, 16(up)
ld r27, 24(up)
std r0, 8(rp)
adde r26, r26, r8
std r7, 16(rp)
adde r11, r11, r10
std r26, 24(rp)
addi up, up, 32
std r11, 32(rp)
addi rp, rp, 32
bdnz L(tm3)
L(em3): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
adde r0, r0, r12
adde r7, r7, r26
std r0, 8(rp)
std r7, 16(rp)
addze r8, r8
std r8, 24(rp)
addi n, n, 2
b L(outer_loop)
L(b0): ld r6, 0(up)
ld r27, 8(up)
mulld r7, r27, r6
mulhdu r12, r27, r6
std r7, 8(rp)
addi rp, rp, 8
ld r9, 16(up)
ld r27, 24(up)
addi up, up, 32
bdz L(em0)
ALIGN(16)
L(tm0): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 0(up)
ld r27, 8(up)
adde r0, r0, r12
adde r7, r7, r26
mulld r26, r9, r6
mulhdu r10, r9, r6
mulld r11, r27, r6
mulhdu r12, r27, r6
ld r9, 16(up)
ld r27, 24(up)
std r0, 8(rp)
adde r26, r26, r8
std r7, 16(rp)
adde r11, r11, r10
std r26, 24(rp)
addi up, up, 32
std r11, 32(rp)
addi rp, rp, 32
bdnz L(tm0)
L(em0): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
adde r0, r0, r12
adde r7, r7, r26
std r0, 8(rp)
std r7, 16(rp)
addze r8, r8
std r8, 24(rp)
addi n, n, 2
b L(outer_loop_ent_2)
L(b1): ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r12, r27, r6
addc r7, r7, r26
std r0, 8(rp)
std r7, 16(rp)
addi rp, rp, 16
ld r9, 24(up)
ld r27, 32(up)
addi up, up, 40
bdz L(em1)
ALIGN(16)
L(tm1): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 0(up)
ld r27, 8(up)
adde r0, r0, r12
adde r7, r7, r26
mulld r26, r9, r6
mulhdu r10, r9, r6
mulld r11, r27, r6
mulhdu r12, r27, r6
ld r9, 16(up)
ld r27, 24(up)
std r0, 8(rp)
adde r26, r26, r8
std r7, 16(rp)
adde r11, r11, r10
std r26, 24(rp)
addi up, up, 32
std r11, 32(rp)
addi rp, rp, 32
bdnz L(tm1)
L(em1): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
adde r0, r0, r12
adde r7, r7, r26
std r0, 8(rp)
std r7, 16(rp)
addze r8, r8
std r8, 24(rp)
addi n, n, 2
b L(outer_loop_ent_3)
L(b2): addi r7, r7, -1 C FIXME
mtctr r7 C FIXME
ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 24(up)
mulld r11, r9, r6
mulhdu r10, r9, r6
addc r7, r7, r26
adde r11, r11, r8
addze r12, r10
std r0, 8(rp)
std r7, 16(rp)
std r11, 24(rp)
addi rp, rp, 24
ld r9, 32(up)
ld r27, 40(up)
addi up, up, 48
bdz L(em2)
ALIGN(16)
L(tm2): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 0(up)
ld r27, 8(up)
adde r0, r0, r12
adde r7, r7, r26
mulld r26, r9, r6
mulhdu r10, r9, r6
mulld r11, r27, r6
mulhdu r12, r27, r6
ld r9, 16(up)
ld r27, 24(up)
std r0, 8(rp)
adde r26, r26, r8
std r7, 16(rp)
adde r11, r11, r10
std r26, 24(rp)
addi up, up, 32
std r11, 32(rp)
addi rp, rp, 32
bdnz L(tm2)
L(em2): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
adde r0, r0, r12
adde r7, r7, r26
std r0, 8(rp)
std r7, 16(rp)
addze r8, r8
std r8, 24(rp)
addi n, n, 2
b L(outer_loop_ent_0)
L(outer_loop):
addi n, n, -1
addi up_outer, up_outer, 8
addi rp_outer, rp_outer, 16
mr up, up_outer
addi rp, rp_outer, 8
srdi r0, n, 2
mtctr r0
bdz L(outer_end)
ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r9, 24(up)
ld r28, 0(rp)
ld r29, 8(rp)
ld r30, 16(rp)
mulld r11, r9, r6
mulhdu r10, r9, r6
addc r7, r7, r26
adde r11, r11, r8
addze r12, r10
addc r0, r0, r28
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
adde r11, r11, r30
std r11, 16(rp)
addi rp, rp, 24
ld r9, 32(up)
ld r27, 40(up)
addi up, up, 48
bdz L(ea1)
ALIGN(16)
L(ta1): mulld r0, r9, r6
mulhdu r26, r9, r6 C 9
mulld r7, r27, r6
mulhdu r8, r27, r6 C 27
ld r9, 0(up)
ld r28, 0(rp)
ld r27, 8(up)
ld r29, 8(rp)
adde r0, r0, r12 C 0 12
adde r7, r7, r26 C 5 7
mulld r26, r9, r6
mulhdu r10, r9, r6 C 9
mulld r11, r27, r6
mulhdu r12, r27, r6 C 27
ld r9, 16(up)
ld r30, 16(rp)
ld r27, 24(up)
ld r31, 24(rp)
adde r26, r26, r8 C 8 5
adde r11, r11, r10 C 10 11
addze r12, r12 C 12
addc r0, r0, r28 C 0 28
std r0, 0(rp) C 0
adde r7, r7, r29 C 7 29
std r7, 8(rp) C 7
adde r26, r26, r30 C 5 30
std r26, 16(rp) C 5
adde r11, r11, r31 C 11 31
std r11, 24(rp) C 11
addi up, up, 32
addi rp, rp, 32
bdnz L(ta1)
L(ea1): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r28, 0(rp)
ld r29, 8(rp)
adde r0, r0, r12
adde r7, r7, r26
addze r8, r8
addc r0, r0, r28
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
addze r8, r8
std r8, 16(rp)
L(outer_loop_ent_0):
addi n, n, -1
addi up_outer, up_outer, 8
addi rp_outer, rp_outer, 16
mr up, up_outer
addi rp, rp_outer, 8
srdi r0, n, 2
mtctr r0
ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
ld r28, 0(rp)
ld r29, 8(rp)
mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
addc r0, r0, r28
adde r7, r7, r26
addze r12, r8
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
addi rp, rp, 16
ld r9, 24(up)
ld r27, 32(up)
addi up, up, 40
bdz L(ea0)
ALIGN(16)
L(ta0): mulld r0, r9, r6
mulhdu r26, r9, r6 C 9
mulld r7, r27, r6
mulhdu r8, r27, r6 C 27
ld r9, 0(up)
ld r28, 0(rp)
ld r27, 8(up)
ld r29, 8(rp)
adde r0, r0, r12 C 0 12
adde r7, r7, r26 C 5 7
mulld r26, r9, r6
mulhdu r10, r9, r6 C 9
mulld r11, r27, r6
mulhdu r12, r27, r6 C 27
ld r9, 16(up)
ld r30, 16(rp)
ld r27, 24(up)
ld r31, 24(rp)
adde r26, r26, r8 C 8 5
adde r11, r11, r10 C 10 11
addze r12, r12 C 12
addc r0, r0, r28 C 0 28
std r0, 0(rp) C 0
adde r7, r7, r29 C 7 29
std r7, 8(rp) C 7
adde r26, r26, r30 C 5 30
std r26, 16(rp) C 5
adde r11, r11, r31 C 11 31
std r11, 24(rp) C 11
addi up, up, 32
addi rp, rp, 32
bdnz L(ta0)
L(ea0): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r28, 0(rp)
ld r29, 8(rp)
adde r0, r0, r12
adde r7, r7, r26
addze r8, r8
addc r0, r0, r28
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
addze r8, r8
std r8, 16(rp)
L(outer_loop_ent_3):
addi n, n, -1
addi up_outer, up_outer, 8
addi rp_outer, rp_outer, 16
mr up, up_outer
addi rp, rp_outer, 8
srdi r0, n, 2
mtctr r0
ld r6, 0(up)
ld r9, 8(up)
ld r28, 0(rp)
mulld r0, r9, r6
mulhdu r12, r9, r6
addc r0, r0, r28
std r0, 0(rp)
addi rp, rp, 8
ld r9, 16(up)
ld r27, 24(up)
addi up, up, 32
bdz L(ea3)
ALIGN(16)
L(ta3): mulld r0, r9, r6
mulhdu r26, r9, r6 C 9
mulld r7, r27, r6
mulhdu r8, r27, r6 C 27
ld r9, 0(up)
ld r28, 0(rp)
ld r27, 8(up)
ld r29, 8(rp)
adde r0, r0, r12 C 0 12
adde r7, r7, r26 C 5 7
mulld r26, r9, r6
mulhdu r10, r9, r6 C 9
mulld r11, r27, r6
mulhdu r12, r27, r6 C 27
ld r9, 16(up)
ld r30, 16(rp)
ld r27, 24(up)
ld r31, 24(rp)
adde r26, r26, r8 C 8 5
adde r11, r11, r10 C 10 11
addze r12, r12 C 12
addc r0, r0, r28 C 0 28
std r0, 0(rp) C 0
adde r7, r7, r29 C 7 29
std r7, 8(rp) C 7
adde r26, r26, r30 C 5 30
std r26, 16(rp) C 5
adde r11, r11, r31 C 11 31
std r11, 24(rp) C 11
addi up, up, 32
addi rp, rp, 32
bdnz L(ta3)
L(ea3): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r28, 0(rp)
ld r29, 8(rp)
adde r0, r0, r12
adde r7, r7, r26
addze r8, r8
addc r0, r0, r28
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
addze r8, r8
std r8, 16(rp)
L(outer_loop_ent_2):
addi n, n, -1
addi up_outer, up_outer, 8
addi rp_outer, rp_outer, 16
mr up, up_outer
addi rp, rp_outer, 8
srdi r0, n, 2
mtctr r0
addic r0, r0, 0
li r12, 0 C cy_limb = 0
ld r6, 0(up)
ld r9, 8(up)
ld r27, 16(up)
bdz L(ea2)
addi up, up, 24
ALIGN(16)
L(ta2): mulld r0, r9, r6
mulhdu r26, r9, r6 C 9
mulld r7, r27, r6
mulhdu r8, r27, r6 C 27
ld r9, 0(up)
ld r28, 0(rp)
ld r27, 8(up)
ld r29, 8(rp)
adde r0, r0, r12 C 0 12
adde r7, r7, r26 C 5 7
mulld r26, r9, r6
mulhdu r10, r9, r6 C 9
mulld r11, r27, r6
mulhdu r12, r27, r6 C 27
ld r9, 16(up)
ld r30, 16(rp)
ld r27, 24(up)
ld r31, 24(rp)
adde r26, r26, r8 C 8 5
adde r11, r11, r10 C 10 11
addze r12, r12 C 12
addc r0, r0, r28 C 0 28
std r0, 0(rp) C 0
adde r7, r7, r29 C 7 29
std r7, 8(rp) C 7
adde r26, r26, r30 C 5 30
std r26, 16(rp) C 5
adde r11, r11, r31 C 11 31
std r11, 24(rp) C 11
addi up, up, 32
addi rp, rp, 32
bdnz L(ta2)
L(ea2): mulld r0, r9, r6
mulhdu r26, r9, r6
mulld r7, r27, r6
mulhdu r8, r27, r6
ld r28, 0(rp)
ld r29, 8(rp)
adde r0, r0, r12
adde r7, r7, r26
addze r8, r8
addc r0, r0, r28
std r0, 0(rp)
adde r7, r7, r29
std r7, 8(rp)
addze r8, r8
std r8, 16(rp)
b L(outer_loop)
L(outer_end):
ld r6, 0(up)
ld r9, 8(up)
ld r11, 0(rp)
mulld r0, r9, r6
mulhdu r8, r9, r6
addc r0, r0, r11
std r0, 0(rp)
addze r8, r8
std r8, 8(rp)
define(`rp', `rp_saved')
define(`up', `r5')
define(`n', `r6')
define(`climb', `r0')
addi r4, rp_saved, 8
mr r5, up_saved
mr r6, n_saved
rldicl. r0, n, 0,62 C r0 = n & 3, set cr0
cmpdi cr6, r0, 2
addi n, n, 2 C compute count...
srdi n, n, 2 C ...for ctr
mtctr n C put loop count into ctr
beq cr0, L(xb0)
blt cr6, L(xb1)
beq cr6, L(xb2)
L(xb3): ld r6, 0(up)
ld r7, 8(up)
ld r12, 16(up)
addi up, up, 24
mulld r24, r6, r6
mulhdu r25, r6, r6
mulld r26, r7, r7
mulhdu r27, r7, r7
mulld r28, r12, r12
mulhdu r29, r12, r12
ld r10, 8(rp)
ld r11, 16(rp)
ld r6, 24(rp)
ld r7, 32(rp)
addc r10, r10, r10
adde r11, r11, r11
adde r6, r6, r6
adde r7, r7, r7
addze climb, r29
addc r10, r10, r25
adde r11, r11, r26
adde r6, r6, r27
adde r7, r7, r28
std r24, 0(rp)
std r10, 8(rp)
std r11, 16(rp)
std r6, 24(rp)
std r7, 32(rp)
addi rp, rp, 40
bdnz L(top)
b L(end)
L(xb2): ld r6, 0(up)
ld r7, 8(up)
addi up, up, 16
mulld r24, r6, r6
mulhdu r25, r6, r6
mulld r26, r7, r7
mulhdu r27, r7, r7
ld r10, 8(rp)
ld r11, 16(rp)
addc r10, r10, r10
adde r11, r11, r11
addze climb, r27
addc r10, r10, r25
adde r11, r11, r26
std r24, 0(rp)
std r10, 8(rp)
std r11, 16(rp)
addi rp, rp, 24
bdnz L(top)
b L(end)
L(xb0): ld r6, 0(up)
ld r7, 8(up)
ld r12, 16(up)
ld r23, 24(up)
addi up, up, 32
mulld r24, r6, r6
mulhdu r25, r6, r6
mulld r26, r7, r7
mulhdu r27, r7, r7
mulld r28, r12, r12
mulhdu r29, r12, r12
mulld r30, r23, r23
mulhdu r31, r23, r23
ld r10, 8(rp)
ld r11, 16(rp)
ld r6, 24(rp)
ld r7, 32(rp)
ld r12, 40(rp)
ld r23, 48(rp)
addc r10, r10, r10
adde r11, r11, r11
adde r6, r6, r6
adde r7, r7, r7
adde r12, r12, r12
adde r23, r23, r23
addze climb, r31
std r24, 0(rp)
addc r10, r10, r25
std r10, 8(rp)
adde r11, r11, r26
std r11, 16(rp)
adde r6, r6, r27
std r6, 24(rp)
adde r7, r7, r28
std r7, 32(rp)
adde r12, r12, r29
std r12, 40(rp)
adde r23, r23, r30
std r23, 48(rp)
addi rp, rp, 56
bdnz L(top)
b L(end)
L(xb1): ld r6, 0(up)
addi up, up, 8
mulld r24, r6, r6
mulhdu climb, r6, r6
std r24, 0(rp)
addic rp, rp, 8 C clear carry as side-effect
ALIGN(32)
L(top): ld r6, 0(up)
ld r7, 8(up)
ld r12, 16(up)
ld r23, 24(up)
addi up, up, 32
mulld r24, r6, r6
mulhdu r25, r6, r6
mulld r26, r7, r7
mulhdu r27, r7, r7
mulld r28, r12, r12
mulhdu r29, r12, r12
mulld r30, r23, r23
mulhdu r31, r23, r23
ld r8, 0(rp)
ld r9, 8(rp)
adde r8, r8, r8
adde r9, r9, r9
ld r10, 16(rp)
ld r11, 24(rp)
adde r10, r10, r10
adde r11, r11, r11
ld r6, 32(rp)
ld r7, 40(rp)
adde r6, r6, r6
adde r7, r7, r7
ld r12, 48(rp)
ld r23, 56(rp)
adde r12, r12, r12
adde r23, r23, r23
addze r31, r31
addc r8, r8, climb
std r8, 0(rp)
adde r9, r9, r24
std r9, 8(rp)
adde r10, r10, r25
std r10, 16(rp)
adde r11, r11, r26
std r11, 24(rp)
adde r6, r6, r27
std r6, 32(rp)
adde r7, r7, r28
std r7, 40(rp)
adde r12, r12, r29
std r12, 48(rp)
adde r23, r23, r30
std r23, 56(rp)
mr climb, r31
addi rp, rp, 64
bdnz L(top)
L(end): addze climb, climb
std climb, 0(rp)
ld r31, -8(r1)
ld r30, -16(r1)
ld r29, -24(r1)
ld r28, -32(r1)
ld r27, -40(r1)
ld r26, -48(r1)
ld r25, -56(r1)
ld r24, -64(r1)
ld r23, -72(r1)
ld r22, -80(r1)
ld r21, -88(r1)
blr
EPILOGUE()
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