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|
dnl AMD64 mpn_mul_basecase optimised for AMD Zen.
dnl Copyright 2012, 2013, 2017 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 TODO
C * Try 2x unrolling instead of current 4x, at least for mul_1. Else consider
C shallower sw pipelining of mul_1/addmul_1 loops, allowing 4 or 6 instead
C of 8 product registers.
C * Split up mul_1 into 4 loops in order to fall into the addmul_1 loops
C without branch tree.
C * Improve the overlapped software pipelining. The mulx in the osp block now
C suffers from write/read conflicts, in particular the 1 mod 4 case. Also,
C mul_1 could osp into addmul_1.
C * Let vn_param be vn to save a copy.
C * Re-allocate to benefit more from 32-bit encoding.
C * Poor performance for e.g. n = 12,16.
define(`rp', `%rdi')
define(`up', `%rsi')
define(`un_param', `%rdx')
define(`vp_param', `%rcx')
define(`vn_param', `%r8')
define(`un', `%r14')
define(`vp', `%rbp')
define(`v0', `%rdx')
define(`n', `%rcx')
define(`vn', `%r15')
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)
ASM_START()
TEXT
ALIGN(32)
PROLOGUE(mpn_mul_basecase)
FUNC_ENTRY(4)
IFDOS(` mov 56(%rsp), %r8d ')
cmp $2, un_param
ja L(gen)
mov (vp_param), %rdx
mulx( (up), %rax, %r9) C 0 1
je L(s2x)
L(s11): mov %rax, (rp)
mov %r9, 8(rp)
FUNC_EXIT()
ret
L(s2x): cmp $2, vn_param
mulx( 8,(up), %r8, %r10) C 1 2
je L(s22)
L(s21): add %r8, %r9
adc $0, %r10
mov %rax, (rp)
mov %r9, 8(rp)
mov %r10, 16(rp)
FUNC_EXIT()
ret
L(s22): add %r8, %r9 C 1
adc $0, %r10 C 2
mov 8(vp_param), %rdx
mov %rax, (rp)
mulx( (up), %r8, %r11) C 1 2
mulx( 8,(up), %rax, %rdx) C 2 3
add %r11, %rax C 2
adc $0, %rdx C 3
add %r8, %r9 C 1
adc %rax, %r10 C 2
adc $0, %rdx C 3
mov %r9, 8(rp)
mov %r10, 16(rp)
mov %rdx, 24(rp)
FUNC_EXIT()
ret
L(gen): push %r15
push %r14
push %r13
push %r12
push %rbp
push %rbx
mov un_param, un
mov vp_param, vp
mov vn_param, vn
mov (up), %r9
mov (vp), v0
lea (up,un,8), up
lea -32(rp,un,8), rp
neg un
mov un, n
test $1, R8(un)
jz L(mx0)
L(mx1): test $2, R8(un)
jz L(mb3)
L(mb1): mulx( %r9, %rbx, %rax)
inc n
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %r9, %r8
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x10 C mulx 16(up,un,8), %r11, %r10
jmp L(mlo1)
L(mb3): mulx( %r9, %r11, %r10)
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x08 C mulx 8(up,un,8), %r13, %r12
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %rbx, %rax
sub $-3, n
jz L(mwd3)
test R32(%rdx), R32(%rdx)
jmp L(mlo3)
L(mx0): test $2, R8(un)
jz L(mb0)
L(mb2): mulx( %r9, %r13, %r12)
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %rbx, %rax
lea 2(n), n
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %r9, %r8
jmp L(mlo2)
L(mb0): mulx( %r9, %r9, %r8)
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x08 C mulx 8(up,un,8), %r11, %r10
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x10 C mulx 16(up,un,8), %r13, %r12
jmp L(mlo0)
L(mtop):jrcxz L(mend)
adc %r8, %r11
mov %r9, (rp,n,8)
L(mlo3):.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r10, %r13
mov %r11, 8(rp,n,8)
L(mlo2):.byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
adc %r12, %rbx
mov %r13, 16(rp,n,8)
L(mlo1):.byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
adc %rax, %r9
mov %rbx, 24(rp,n,8)
L(mlo0):.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xce,0x18 C mulx 24(up,n,8), %rbx, %rax
lea 4(n), n
jmp L(mtop)
L(mend):mov %r9, (rp)
adc %r8, %r11
L(mwd3):mov %r11, 8(rp)
adc %r10, %r13
mov %r13, 16(rp)
adc %r12, %rbx
adc $0, %rax
mov %rbx, 24(rp)
mov %rax, 32(rp)
add $8, vp
dec vn
jz L(end)
C The rest of the file are 4 osp loops around addmul_1
test $1, R8(un)
jnz L(0x1)
L(0x0): test $2, R8(un)
jnz L(oloop2_entry)
L(oloop0_entry):
C initial feed-in block
mov (vp), %rdx
add $8, vp
mov un, n
add $8, rp
.byte 0xc4,0x22,0xb3,0xf6,0x04,0xf6 C mulx (up,un,8), %r9, %r8
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x08 C mulx 8(up,un,8), %r11, %r10
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x10 C mulx 16(up,un,8), %r13, %r12
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x18 C mulx 24(up,un,8), %rbx, %rax
add %r8, %r11
jmp L(lo0)
L(oloop0):
C overlapped software pipelining block
mov (vp), %rdx C new
add $8, vp
add %r9, (rp) C prev
.byte 0xc4,0x22,0xb3,0xf6,0x04,0xf6 C mulx (%rsi,%r14,8),%r9,%r8
adc %r11, 8(rp) C prev
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x08 C mulx 0x8(%rsi,%r14,8),%r11,%r10
adc %r13, 16(rp) C prev
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x10 C mulx 0x10(%rsi,%r14,8),%r13,%r12
adc %rbx, 24(rp) C prev
mov un, n
adc $0, %rax C prev
mov %rax, 32(rp) C prev
add $8, rp
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x18 C mulx 0x18(%rsi,%r14,8),%rbx,%rax
add %r8, %r11 C new
jmp L(lo0)
ALIGN(16)
L(tp0): add %r9, (rp,n,8)
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r11, 8(rp,n,8)
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
adc %r13, 16(rp,n,8)
.byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
adc %rbx, 24(rp,n,8)
adc %rax, %r9
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xce,0x18 C mulx 24(up,n,8), %rbx, %rax
adc %r8, %r11
L(lo0): adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(tp0)
dec vn
jne L(oloop0)
jmp L(final_wind_down)
L(oloop2_entry):
mov (vp), %rdx
add $8, vp
lea 2(un), n
add $8, rp
.byte 0xc4,0x22,0x93,0xf6,0x24,0xf6 C mulx (up,un,8), %r13, %r12
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %rbx, %rax
add %r12, %rbx
adc $0, %rax
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %r9, %r8
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
add %r13, 16(rp,n,8)
jmp L(lo2)
L(oloop2):
mov (vp), %rdx
add $8, vp
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
.byte 0xc4,0x22,0x93,0xf6,0x24,0xf6 C mulx (up,un,8), %r13, %r12
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %rbx, %rax
lea 2(un), n
add $8, rp
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %r9, %r8
add %r12, %rbx
adc $0, %rax
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x18 C mulx 0x18(%rsi,%r14,8),%r11,%r10
add %r13, 16(rp,n,8)
jmp L(lo2)
ALIGN(16)
L(tp2): add %r9, (rp,n,8)
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r11, 8(rp,n,8)
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
adc %r13, 16(rp,n,8)
L(lo2): .byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
adc %rbx, 24(rp,n,8)
adc %rax, %r9
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xce,0x18 C mulx 24(up,n,8), %rbx, %rax
adc %r8, %r11
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(tp2)
dec vn
jne L(oloop2)
jmp L(final_wind_down)
L(0x1): test $2, R8(un)
jz L(oloop3_entry)
L(oloop1_entry):
mov (vp), %rdx
add $8, vp
lea 1(un), n
add $8, rp
.byte 0xc4,0xa2,0xe3,0xf6,0x04,0xf6 C mulx (up,un,8), %rbx, %rax
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %r9, %r8
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x10 C mulx 16(up,un,8), %r11, %r10
.byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
add %rbx, 24(rp,n,8)
jmp L(lo1)
L(oloop1):
mov (vp), %rdx
add $8, vp
add %r9, (rp)
.byte 0xc4,0x22,0xb3,0xf6,0x44,0xf6,0x08 C mulx 8(up,un,8), %r9, %r8
adc %r11, 8(rp)
.byte 0xc4,0x22,0xa3,0xf6,0x54,0xf6,0x10 C mulx 16(up,un,8), %r11, %r10
adc %r13, 16(rp)
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x18 C mulx 0x18(%rsi,%r14,8),%r13,%r12
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
.byte 0xc4,0xa2,0xe3,0xf6,0x04,0xf6 C mulx (up,un,8), %rbx, %rax
lea 1(un), n
add $8, rp
add %rbx, 24(rp,n,8)
jmp L(lo1)
ALIGN(16)
L(tp1): add %r9, (rp,n,8)
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r11, 8(rp,n,8)
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
adc %r13, 16(rp,n,8)
.byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
adc %rbx, 24(rp,n,8)
L(lo1): adc %rax, %r9
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xce,0x18 C mulx 24(up,n,8), %rbx, %rax
adc %r8, %r11
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(tp1)
dec vn
jne L(oloop1)
jmp L(final_wind_down)
L(oloop3_entry):
mov (vp), %rdx
add $8, vp
lea 3(un), n
add $8, rp
.byte 0xc4,0x22,0xa3,0xf6,0x14,0xf6 C mulx (up,un,8), %r11, %r10
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x08 C mulx 8(up,un,8), %r13, %r12
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %rbx, %rax
add %r10, %r13
adc %r12, %rbx
adc $0, %rax
test n, n
jz L(wd3)
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
add %r11, 8(rp,n,8)
jmp L(lo3)
L(oloop3):
mov (vp), %rdx
add $8, vp
add %r9, (rp)
adc %r11, 8(rp)
.byte 0xc4,0x22,0xa3,0xf6,0x14,0xf6 C mulx (up,un,8), %r11, %r10
adc %r13, 16(rp)
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x08 C mulx 8(up,un,8), %r13, %r12
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %rbx, %rax
lea 3(un), n
add $8, rp
add %r10, %r13
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r12, %rbx
adc $0, %rax
add %r11, 8(rp,n,8)
jmp L(lo3)
ALIGN(16)
L(tp3): add %r9, (rp,n,8)
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,n,8), %r9, %r8
adc %r11, 8(rp,n,8)
L(lo3): .byte 0xc4,0x62,0xa3,0xf6,0x54,0xce,0x08 C mulx 8(up,n,8), %r11, %r10
adc %r13, 16(rp,n,8)
.byte 0xc4,0x62,0x93,0xf6,0x64,0xce,0x10 C mulx 16(up,n,8), %r13, %r12
adc %rbx, 24(rp,n,8)
adc %rax, %r9
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xce,0x18 C mulx 24(up,n,8), %rbx, %rax
adc %r8, %r11
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(tp3)
dec vn
jne L(oloop3)
L(final_wind_down):
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
L(end): pop %rbx
pop %rbp
pop %r12
pop %r13
pop %r14
pop %r15
FUNC_EXIT()
ret
L(3): mov (vp), %rdx
add $8, vp
add $8, rp
.byte 0xc4,0x22,0xa3,0xf6,0x14,0xf6 C mulx (up,un,8), %r11, %r10
.byte 0xc4,0x22,0x93,0xf6,0x64,0xf6,0x08 C mulx 8(up,un,8), %r13, %r12
.byte 0xc4,0xa2,0xe3,0xf6,0x44,0xf6,0x10 C mulx 16(up,un,8), %rbx, %rax
add %r10, %r13
adc %r12, %rbx
adc $0, %rax
L(wd3): adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
dec vn
jne L(3)
jmp L(end)
EPILOGUE()
|
