dnl AMD64 mpn_mullo_basecase optimised for Conroe/Wolfdale/Nehalem/Westmere.
dnl Contributed to the GNU project by Torbjörn Granlund.
dnl Copyright 2008, 2009, 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_2 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 4.0 4.18-4.25
C Intel NHM 3.75 4.06-4.2
C Intel SBR
C Intel IBR
C Intel HWL
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 Torbjörn Granlund.
C TODO
C * Implement proper cor2, replacing current cor0.
C * Offset n by 2 in order to avoid the outer loop cmp. (And sqr_basecase?)
C * 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(`vp_param', `%rdx')
define(`n_param', `%rcx')
define(`v0', `%r10')
define(`v1', `%r11')
define(`w0', `%rbx')
define(`w1', `%rcx')
define(`w2', `%rbp')
define(`w3', `%r12')
define(`n', `%r9')
define(`i', `%r13')
define(`vp', `%r8')
define(`X0', `%r14')
define(`X1', `%r15')
C rax rbx rcx rdx rdi rsi rbp r8 r9 r10 r11 r12 r13 r14 r15
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)
define(`ALIGNx', `ALIGN(16)')
define(`N', 85)
ifdef(`N',,`define(`N',0)')
define(`MOV', `ifelse(eval(N & $3),0,`mov $1, $2',`lea ($1), $2')')
ASM_START()
TEXT
ALIGN(32)
PROLOGUE(mpn_mullo_basecase)
FUNC_ENTRY(4)
mov (up), %rax
mov vp_param, vp
cmp $4, n_param
jb L(small)
mov (vp_param), v0
push %rbx
lea (rp,n_param,8), rp C point rp at R[un]
push %rbp
lea (up,n_param,8), up C point up right after U's end
push %r12
mov $0, R32(n) C FIXME
sub n_param, n
push %r13
mul v0
mov 8(vp), v1
test $1, R8(n_param)
jnz L(m2x1)
L(m2x0):test $2, R8(n_param)
jnz L(m2b2)
L(m2b0):lea (n), i
mov %rax, (rp,n,8)
mov %rdx, w1
mov (up,n,8), %rax
xor R32(w2), R32(w2)
jmp L(m2e0)
L(m2b2):lea -2(n), i
mov %rax, w2
mov (up,n,8), %rax
mov %rdx, w3
xor R32(w0), R32(w0)
jmp L(m2e2)
L(m2x1):test $2, R8(n_param)
jnz L(m2b3)
L(m2b1):lea 1(n), i
mov %rax, (rp,n,8)
mov (up,n,8), %rax
mov %rdx, w0
xor R32(w1), R32(w1)
jmp L(m2e1)
L(m2b3):lea -1(n), i
xor R32(w3), R32(w3)
mov %rax, w1
mov %rdx, w2
mov (up,n,8), %rax
jmp L(m2e3)
ALIGNx
L(m2tp):mul v0
add %rax, w3
mov -8(up,i,8), %rax
mov w3, -8(rp,i,8)
adc %rdx, w0
adc $0, R32(w1)
L(m2e1):mul v1
add %rax, w0
adc %rdx, w1
mov $0, R32(w2)
mov (up,i,8), %rax
mul v0
add %rax, w0
mov w0, (rp,i,8)
adc %rdx, w1
mov (up,i,8), %rax
adc $0, R32(w2)
L(m2e0):mul v1
add %rax, w1
adc %rdx, w2
mov 8(up,i,8), %rax
mul v0
mov $0, R32(w3)
add %rax, w1
adc %rdx, w2
adc $0, R32(w3)
mov 8(up,i,8), %rax
L(m2e3):mul v1
add %rax, w2
mov w1, 8(rp,i,8)
adc %rdx, w3
mov $0, R32(w0)
mov 16(up,i,8), %rax
mul v0
add %rax, w2
mov 16(up,i,8), %rax
adc %rdx, w3
adc $0, R32(w0)
L(m2e2):mul v1
mov $0, R32(w1) C FIXME: dead in last iteration
add %rax, w3
mov 24(up,i,8), %rax
mov w2, 16(rp,i,8)
adc %rdx, w0 C FIXME: dead in last iteration
add $4, i
js L(m2tp)
L(m2ed):imul v0, %rax
add w3, %rax
mov %rax, I(-8(rp),-8(rp,i,8))
add $2, n
lea 16(vp), vp
lea -16(up), up
cmp $-2, n
jge L(cor1)
push %r14
push %r15
L(outer):
mov (vp), v0
mov 8(vp), v1
mov (up,n,8), %rax
mul v0
test $1, R8(n)
jnz L(a1x1)
L(a1x0):mov %rax, X1
MOV( %rdx, X0, 8)
mov (up,n,8), %rax
mul v1
test $2, R8(n)
jnz L(a110)
L(a100):lea (n), i
mov (rp,n,8), w3
mov %rax, w0
MOV( %rdx, w1, 16)
jmp L(lo0)
L(a110):lea 2(n), i
mov (rp,n,8), w1
mov %rax, w2
mov 8(up,n,8), %rax
MOV( %rdx, w3, 1)
jmp L(lo2)
L(a1x1):mov %rax, X0
MOV( %rdx, X1, 2)
mov (up,n,8), %rax
mul v1
test $2, R8(n)
jz L(a111)
L(a101):lea 1(n), i
MOV( %rdx, w0, 4)
mov (rp,n,8), w2
mov %rax, w3
jmp L(lo1)
L(a111):lea -1(n), i
MOV( %rdx, w2, 64)
mov %rax, w1
mov (rp,n,8), w0
mov 8(up,n,8), %rax
jmp L(lo3)
ALIGNx
L(top): mul v1
add w0, w1
adc %rax, w2
mov -8(up,i,8), %rax
MOV( %rdx, w3, 1)
adc $0, w3
L(lo2): mul v0
add w1, X1
mov X1, -16(rp,i,8)
adc %rax, X0
MOV( %rdx, X1, 2)
adc $0, X1
mov -8(up,i,8), %rax
mul v1
MOV( %rdx, w0, 4)
mov -8(rp,i,8), w1
add w1, w2
adc %rax, w3
adc $0, w0
L(lo1): mov (up,i,8), %rax
mul v0
add w2, X0
adc %rax, X1
mov X0, -8(rp,i,8)
MOV( %rdx, X0, 8)
adc $0, X0
mov (up,i,8), %rax
mov (rp,i,8), w2
mul v1
add w2, w3
adc %rax, w0
MOV( %rdx, w1, 16)
adc $0, w1
L(lo0): mov 8(up,i,8), %rax
mul v0
add w3, X1
mov X1, (rp,i,8)
adc %rax, X0
MOV( %rdx, X1, 32)
mov 8(rp,i,8), w3
adc $0, X1
mov 8(up,i,8), %rax
mul v1
add w3, w0
MOV( %rdx, w2, 64)
adc %rax, w1
mov 16(up,i,8), %rax
adc $0, w2
L(lo3): mul v0
add w0, X0
mov X0, 8(rp,i,8)
MOV( %rdx, X0, 128)
adc %rax, X1
mov 16(up,i,8), %rax
mov 16(rp,i,8), w0
adc $0, X0
add $4, i
jnc L(top)
L(end): imul v1, %rax
add w0, w1
adc %rax, w2
mov I(-8(up),-8(up,i,8)), %rax
imul v0, %rax
add w1, X1
mov X1, I(-16(rp),-16(rp,i,8))
adc X0, %rax
mov I(-8(rp),-8(rp,i,8)), w1
add w1, w2
add w2, %rax
mov %rax, I(-8(rp),-8(rp,i,8))
add $2, n
lea 16(vp), vp
lea -16(up), up
cmp $-2, n
jl L(outer)
pop %r15
pop %r14
jnz L(cor0)
L(cor1):mov (vp), v0
mov 8(vp), v1
mov -16(up), %rax
mul v0 C u0 x v2
add -16(rp), %rax C FIXME: rp[0] still available in reg?
adc -8(rp), %rdx C FIXME: rp[1] still available in reg?
mov -8(up), %rbx
imul v0, %rbx
mov -16(up), %rcx
imul v1, %rcx
mov %rax, -16(rp)
add %rbx, %rcx
add %rdx, %rcx
mov %rcx, -8(rp)
pop %r13
pop %r12
pop %rbp
pop %rbx
FUNC_EXIT()
ret
L(cor0):mov (vp), %r11
imul -8(up), %r11
add %rax, %r11
mov %r11, -8(rp)
pop %r13
pop %r12
pop %rbp
pop %rbx
FUNC_EXIT()
ret
ALIGN(16)
L(small):
cmp $2, n_param
jae L(gt1)
L(n1): imul (vp_param), %rax
mov %rax, (rp)
FUNC_EXIT()
ret
L(gt1): ja L(gt2)
L(n2): mov (vp_param), %r9
mul %r9
mov %rax, (rp)
mov 8(up), %rax
imul %r9, %rax
add %rax, %rdx
mov 8(vp), %r9
mov (up), %rcx
imul %r9, %rcx
add %rcx, %rdx
mov %rdx, 8(rp)
FUNC_EXIT()
ret
L(gt2):
L(n3): mov (vp_param), %r9
mul %r9 C u0 x v0
mov %rax, (rp)
mov %rdx, %r10
mov 8(up), %rax
mul %r9 C u1 x v0
imul 16(up), %r9 C u2 x v0
add %rax, %r10
adc %rdx, %r9
mov 8(vp), %r11
mov (up), %rax
mul %r11 C u0 x v1
add %rax, %r10
adc %rdx, %r9
imul 8(up), %r11 C u1 x v1
add %r11, %r9
mov %r10, 8(rp)
mov 16(vp), %r10
mov (up), %rax
imul %rax, %r10 C u0 x v2
add %r10, %r9
mov %r9, 16(rp)
FUNC_EXIT()
ret
EPILOGUE()
CF_PROT