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dnl AMD64 mpn_mul_basecase optimised for Intel Sandy bridge and Ivy bridge.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2003-2005, 2007, 2008, 2011-2013 Free Software Foundation, 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 mul_1 mul_2 mul_3 addmul_2
C AMD K8,K9
C AMD K10
C AMD bull
C AMD pile
C AMD steam
C AMD bobcat
C AMD jaguar
C Intel P4
C Intel core
C Intel NHM
C Intel SBR 2.5 2.5 - 2.95
C Intel IBR 2.4 2.3 - 2.68
C Intel HWL 2.35 2.0 - 2.5
C Intel BWL
C Intel atom
C VIA nano
C The inner loops of this code are the result of running a code generation and
C optimisation tool suite written by David Harvey and Torbjorn Granlund.
C TODO
C * Fix the addmul_2 fluctuation affecting SBR.
C * Improve feed-in code, avoiding zeroing of many registers and dummy adds in
C the loops at the expense of code size.
C * Adjoin a mul_3, avoiding slow mul_1 for odd vn.
C * Consider replacing the 2-way mul_2 code with 4-way code, for a very slight
C speedup.
C * Further micro-optimise.
C When playing with pointers, set this to $2 to fall back to conservative
C indexing in wind-down code.
define(`I',`$1')
define(`rp', `%rdi')
define(`up', `%rsi')
define(`un_param',`%rdx')
define(`vp', `%rcx')
define(`vn', `%r8')
define(`un', `%rbx')
define(`w0', `%r10')
define(`w1', `%r11')
define(`w2', `%r12')
define(`w3', `%r13')
define(`n', `%rbp')
define(`v0', `%r9')
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)
ASM_START()
TEXT
ALIGN(16)
PROLOGUE(mpn_mul_basecase)
FUNC_ENTRY(4)
IFDOS(` mov 56(%rsp), %r8d ')
push %rbx
push %rbp
mov un_param, un C free up rdx
neg un
mov (up), %rax C shared for mul_1 and mul_2
lea (up,un_param,8), up C point at operand end
lea (rp,un_param,8), rp C point at rp[un-1]
mov (vp), v0 C shared for mul_1 and mul_2
mul v0 C shared for mul_1 and mul_2
test $1, R8(vn)
jz L(do_mul_2)
L(do_mul_1):
test $1, R8(un)
jnz L(m1x1)
L(m1x0):mov %rax, w0 C un = 2, 4, 6, 8, ...
mov %rdx, w1
mov 8(up,un,8), %rax
test $2, R8(un)
jnz L(m110)
L(m100):lea 2(un), n C un = 4, 8, 12, ...
jmp L(m1l0)
L(m110):lea (un), n C un = 2, 6, 10, ...
jmp L(m1l2)
L(m1x1):mov %rax, w1 C un = 1, 3, 5, 7, ...
mov %rdx, w0
test $2, R8(un)
jz L(m111)
L(m101):lea 3(un), n C un = 1, 5, 9, ...
test n, n
js L(m1l1)
mov %rax, -8(rp)
mov %rdx, (rp)
pop %rbp
pop %rbx
FUNC_EXIT()
ret
L(m111):lea 1(un), n C un = 3, 7, 11, ...
mov 8(up,un,8), %rax
jmp L(m1l3)
ALIGN(16) C FIXME
L(m1tp):mov %rdx, w0
add %rax, w1
L(m1l1):mov -16(up,n,8), %rax
adc $0, w0
mul v0
add %rax, w0
mov w1, -24(rp,n,8)
mov -8(up,n,8), %rax
mov %rdx, w1
adc $0, w1
L(m1l0):mul v0
mov w0, -16(rp,n,8)
add %rax, w1
mov %rdx, w0
mov (up,n,8), %rax
adc $0, w0
L(m1l3):mul v0
mov w1, -8(rp,n,8)
mov %rdx, w1
add %rax, w0
mov 8(up,n,8), %rax
adc $0, w1
L(m1l2):mul v0
mov w0, (rp,n,8)
add $4, n
jnc L(m1tp)
L(m1ed):add %rax, w1
adc $0, %rdx
mov w1, I(-8(rp),-24(rp,n,8))
mov %rdx, I((rp),-16(rp,n,8))
dec R32(vn)
jz L(ret2)
lea 8(vp), vp
lea 8(rp), rp
push %r12
push %r13
push %r14
jmp L(do_addmul)
L(do_mul_2):
define(`v1', `%r14')
push %r12
push %r13
push %r14
mov 8(vp), v1
test $1, R8(un)
jnz L(m2b1)
L(m2b0):lea (un), n
xor w0, w0
mov %rax, w2
mov %rdx, w1
jmp L(m2l0)
L(m2b1):lea 1(un), n
xor w1, w1
xor w2, w2
mov %rax, w0
mov %rdx, w3
jmp L(m2l1)
ALIGN(32)
L(m2tp):mul v0
add %rax, w0
mov %rdx, w3
adc $0, w3
L(m2l1):mov -8(up,n,8), %rax
mul v1
add w1, w0
adc $0, w3
add %rax, w2
mov w0, -8(rp,n,8)
mov %rdx, w0
adc $0, w0
mov (up,n,8), %rax
mul v0
add %rax, w2
mov %rdx, w1
adc $0, w1
add w3, w2
L(m2l0):mov (up,n,8), %rax
adc $0, w1
mul v1
mov w2, (rp,n,8)
add %rax, w0
mov %rdx, w2
mov 8(up,n,8), %rax
adc $0, w2
add $2, n
jnc L(m2tp)
L(m2ed):mul v0
add %rax, w0
mov %rdx, w3
adc $0, w3
mov I(-8(up),-8(up,n,8)), %rax
mul v1
add w1, w0
adc $0, w3
add %rax, w2
mov w0, I(-8(rp),-8(rp,n,8))
adc $0, %rdx
add w3, w2
mov w2, I((rp),(rp,n,8))
adc $0, %rdx
mov %rdx, I(8(rp),8(rp,n,8))
add $-2, R32(vn)
jz L(ret5)
lea 16(vp), vp
lea 16(rp), rp
L(do_addmul):
push %r15
push vn C save vn in new stack slot
define(`vn', `(%rsp)')
define(`X0', `%r14')
define(`X1', `%r15')
define(`v1', `%r8')
L(outer):
mov (vp), v0
mov 8(vp), v1
mov (up,un,8), %rax
mul v0
test $1, R8(un)
jnz L(a1x1)
L(a1x0):mov (rp,un,8), X0
xor w0, w0
mov %rdx, w1
test $2, R8(un)
jnz L(a110)
L(a100):lea 2(un), n C un = 4, 8, 12, ...
add %rax, X0
adc $0, w1
mov (up,un,8), %rax
mul v1
mov 8(rp,un,8), X1
jmp L(lo0)
L(a110):lea (un), n C un = 2, 6, 10, ...
xor w3, w3
jmp L(lo2)
L(a1x1):mov (rp,un,8), X1
xor w2, w2
xor w1, w1
test $2, R8(un)
jz L(a111)
L(a101):lea 3(un), n C un = 1, 5, 9, ...
mov %rdx, w3
add %rax, X1
mov (up,un,8), %rax
mov 8(rp,un,8), X0
adc $0, w3
jmp L(top)
L(a111):lea 1(un), n C un = 3, 7, 11, ...
jmp L(lo3)
ALIGN(32)
L(top): mul v1
mov %rdx, w0
add %rax, X0
adc $0, w0
add w1, X1
adc $0, w3
add w2, X0
adc $0, w0
mov -16(up,n,8), %rax
mul v0
add %rax, X0
mov %rdx, w1
adc $0, w1
mov -16(up,n,8), %rax
mul v1
mov X1, -24(rp,n,8)
mov -8(rp,n,8), X1
add w3, X0
adc $0, w1
L(lo0): mov %rdx, w2
mov X0, -16(rp,n,8)
add %rax, X1
adc $0, w2
mov -8(up,n,8), %rax
add w0, X1
adc $0, w2
mul v0
L(lo3): add %rax, X1
mov %rdx, w3
adc $0, w3
mov -8(up,n,8), %rax
mul v1
add w1, X1
mov (rp,n,8), X0
adc $0, w3
mov %rdx, w0
add %rax, X0
adc $0, w0
mov (up,n,8), %rax
mul v0
add w2, X0
mov X1, -8(rp,n,8)
mov %rdx, w1
adc $0, w0
L(lo2): add %rax, X0
adc $0, w1
mov (up,n,8), %rax
add w3, X0
adc $0, w1
mul v1
mov 8(rp,n,8), X1
add %rax, X1
mov %rdx, w2
adc $0, w2
mov 8(up,n,8), %rax
mov X0, (rp,n,8)
mul v0
add w0, X1
mov %rdx, w3
adc $0, w2
add %rax, X1
mov 8(up,n,8), %rax
mov 16(rp,n,8), X0 C useless but harmless in final iter
adc $0, w3
add $4, n
jnc L(top)
L(end): mul v1
add w1, X1
adc $0, w3
add w2, %rax
adc $0, %rdx
mov X1, I(-8(rp),-24(rp,n,8))
add w3, %rax
adc $0, %rdx
mov %rax, I((rp),-16(rp,n,8))
mov %rdx, I(8(rp),-8(rp,n,8))
addl $-2, vn
lea 16(vp), vp
lea 16(rp), rp
jnz L(outer)
pop %rax C deallocate vn slot
pop %r15
L(ret5):pop %r14
pop %r13
pop %r12
L(ret2):pop %rbp
pop %rbx
FUNC_EXIT()
ret
EPILOGUE()
|
