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|
dnl AMD64 mpn_sqr_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 * Do overlapped software pipelining. This should close the remaining gap to
C mul_basecase.
C
C * Update un just once in the outer loop.
C
C * Perhaps keep un and n pre-multiplied by 8, thus suppressing ",8" from
C loads and stores. At least in some cases, the non-scaled form is faster.
C
C * Optimise xit3 code, e.g., using shrx and sarx like in the main loop.
C
C * The mul_1 feed-in code has gotten little attention and could probably be
C improved. Perhaps even expand it to 4 separate loops to allow straight
C fall-through into the 4 addmul_1 loops.
C
C * Clean up ad-hoc scratch register usage in the addmul_1 feed-in code blocks.
define(`rp', `%rdi')
define(`up', `%rsi')
define(`un_param',`%rdx')
define(`un', `%rbp')
define(`n', `%rcx')
C these are used just for the small op code
define(`w0', `%r8')
define(`w1', `%r9')
define(`w2', `%r10')
define(`w3', `%r11')
ABI_SUPPORT(DOS64)
ABI_SUPPORT(STD64)
ASM_START()
TEXT
ALIGN(16)
PROLOGUE(mpn_sqr_basecase)
FUNC_ENTRY(3)
cmp $2, R32(un_param)
jae L(gt1)
mov (up), %rdx
mulx( %rdx, %rax, %rdx)
mov %rax, (rp)
mov %rdx, 8(rp)
FUNC_EXIT()
ret
L(gt1): jne L(gt2)
mov (up), %rdx
mov 8(up), %rcx
mulx( %rcx, %r9, %r10) C v0 * v1 W 1 2
mulx( %rdx, %rax, %r8) C v0 * v0 W 0 1
mov %rcx, %rdx
mulx( %rdx, %r11, %rdx) C v1 * v1 W 2 3
add %r9, %r9 C W 1
adc %r10, %r10 C W 2
adc $0, %rdx C W 3
add %r9, %r8 C W 1
adc %r11, %r10 C W 2
adc $0, %rdx C W 3
mov %rax, (rp)
mov %r8, 8(rp)
mov %r10, 16(rp)
mov %rdx, 24(rp)
FUNC_EXIT()
ret
L(gt2): cmp $4, R32(un_param)
jae L(gt3)
push %rbx
mov (up), %rdx
mulx( 8,(up), w2, w3)
mulx( 16,(up), w0, w1)
add w3, w0
mov 8(up), %rdx
mulx( 16,(up), %rax, w3)
adc %rax, w1
adc $0, w3
test R32(%rbx), R32(%rbx)
mov (up), %rdx
mulx( %rdx, %rbx, %rcx)
mov %rbx, (rp)
mov 8(up), %rdx
mulx( %rdx, %rax, %rbx)
mov 16(up), %rdx
mulx( %rdx, %rsi, %rdx)
adcx( w2, w2)
adcx( w0, w0)
adcx( w1, w1)
adcx( w3, w3)
adox( w2, %rcx)
adox( w0, %rax)
adox( w1, %rbx)
adox( w3, %rsi)
mov $0, R32(%r8)
adox( %r8, %rdx)
adcx( %r8, %rdx)
mov %rcx, 8(rp)
mov %rax, 16(rp)
mov %rbx, 24(rp)
mov %rsi, 32(rp)
mov %rdx, 40(rp)
pop %rbx
FUNC_EXIT()
ret
L(gt3): push %r15
C push %r14
push %r13
push %r12
push %rbp
push %rbx
mov R32(un_param), R32(un)
mov (up), %rdx C up[0]
mov 8(up), %r9 C up[1]
mulx( %rdx, %rax, %r15) C up[0]^2
mov %rax, (rp)
shl %rdx
lea (up,un,8), up
lea -32(rp,un,8), rp
neg un
lea 4(un), n
and $-4, n
test $1, R8(un)
jnz L(mx0)
L(mx1): test $2, R8(un)
jz L(mb3)
L(mb1): mulx( %r9, %rbx, %rax)
.byte 0xc4,0x62,0xb3,0xf6,0x44,0xee,0x10 C mulx 16(up,un,8), %r9, %r8
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xee,0x18 C mulx 24(up,un,8), %r11, %r10
add %r15, %rbx
jmp L(mlo1)
L(mb3): mulx( %r9, %r11, %r10)
.byte 0xc4,0x62,0x93,0xf6,0x64,0xee,0x10 C mulx 16(up,un,8), %r13, %r12
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xee,0x18 C mulx 24(up,un,8), %rbx, %rax
add %r15, %r11
jrcxz L(n4)
jmp L(mlo3)
L(n4): mov %r11, 8(rp)
adc %r10, %r13
adc %r12, %rbx
jmp L(m)
L(mx0): test $2, R8(un)
jnz L(mb0)
L(mb2): mulx( %r9, %r13, %r12)
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xee,0x10 C mulx 16(up,un,8), %rbx, %rax
.byte 0xc4,0x62,0xb3,0xf6,0x44,0xee,0x18 C mulx 24(up,un,8), %r9, %r8
add %r15, %r13
jmp L(mlo2)
L(mb0): mulx( %r9, %r9, %r8)
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xee,0x10 C mulx 16(up,un,8), %r11, %r10
.byte 0xc4,0x62,0x93,0xf6,0x64,0xee,0x18 C mulx 24(up,un,8), %r13, %r12
add %r15, %r9
jmp L(mlo0)
ALIGN(16)
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
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)
lea 2(un), un
mov $63, R32(%r15) C keep at 63 for shrx/sarx.
test $1, R8(un)
jz L(x0)
L(x1): test $2, R8(un)
jz L(f3)
jmp L(f1)
L(x0): test $2, R8(un)
jz L(f0)
C jmp L(f2)
L(f2): mov -8(up,un,8), %rdx C up[0]
lea 2(un), n
lea 8(rp), rp
.byte 0xc4,0x62,0x82,0xf7,0x5c,0xee,0xf0 C sarx %r15, -16(up,un,8), %r11
.byte 0xc4,0x62,0x83,0xf7,0x6c,0xee,0xf0 C shrx %r15, -16(up,un,8), %r13
and %rdx, %r11 C "ci" in C code
mulx( %rdx, %rax, %r10) C up[0]^2
lea (%r13,%rdx,2), %rdx C "u0" arg in C code
add %rax, %r11
.byte 0xc4,0x62,0x93,0xf6,0x24,0xee C mulx (up,un,8), %r13, %r12
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xee,0x08 C mulx 8(up,un,8), %rbx, %rax
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
jmp L(b2)
ALIGN(16)
L(top2):add %r9, (rp,n,8)
L(b2): .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
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(top2)
inc un
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
L(f1): mov -8(up,un,8), %rdx C up[0]
lea 1(un), n
lea 8(rp), rp
.byte 0xc4,0x62,0x82,0xf7,0x6c,0xee,0xf0 C sarx %r15, -16(up,un,8), %r13
.byte 0xc4,0xe2,0x83,0xf7,0x5c,0xee,0xf0 C shrx %r15, -16(up,un,8), %rbx
and %rdx, %r13 C "ci" in C code
mulx( %rdx, %rax, %r12) C up[0]^2
lea (%rbx,%rdx,2), %rdx C "u0" arg in C code
add %rax, %r13
.byte 0xc4,0xe2,0xe3,0xf6,0x04,0xee C mulx (up,un,8), %rbx, %rax
adc %r12, %rbx
adc $0, %rax
.byte 0xc4,0x62,0xb3,0xf6,0x44,0xee,0x08 C mulx 8(up,un,8), %r9, %r8
jmp L(b1)
ALIGN(16)
L(top1):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(b1): .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(top1)
inc un
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
L(f0): mov -8(up,un,8), %rdx C up[0]
lea (un), n
lea 8(rp), rp
.byte 0xc4,0xe2,0x82,0xf7,0x5c,0xee,0xf0 C sarx %r15, -16(up,un,8), %rbx
.byte 0xc4,0x62,0x83,0xf7,0x4c,0xee,0xf0 C shrx %r15, -16(up,un,8), %r9
and %rdx, %rbx C "ci" in C code
mulx( %rdx, %r10, %rax) C up[0]^2
lea (%r9,%rdx,2), %rdx C "u0" arg in C code
add %r10, %rbx
adc $0, %rax C "cin" in C code
.byte 0xc4,0x62,0xb3,0xf6,0x04,0xce C mulx (up,un,8), %r9, %r8
.byte 0xc4,0x62,0xa3,0xf6,0x54,0xee,0x08 C mulx 8(up,un,8), %r11, %r10
jmp L(b0)
ALIGN(16)
L(top0):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(b0): .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(top0)
inc un
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
L(f3): mov -8(up,un,8), %rdx C up[0]
lea 3(un), n
lea 8(rp), rp
.byte 0xc4,0x62,0x82,0xf7,0x4c,0xee,0xf0 C sarx %r15, -16(up,un,8), %r9
.byte 0xc4,0x62,0x83,0xf7,0x5c,0xee,0xf0 C shrx %r15, -16(up,un,8), %r11
and %rdx, %r9 C "ci" in C code
mulx( %rdx, %rax, %r8) C up[0]^2
lea (%r11,%rdx,2), %rdx C "u0" arg in C code
add %rax, %r9
.byte 0xc4,0x62,0xa3,0xf6,0x14,0xee C mulx (%rsi,%rbp,8),%r11,%r10
.byte 0xc4,0x62,0x93,0xf6,0x64,0xee,0x08 C mulx 0x8(%rsi,%rbp,8),%r13,%r12
.byte 0xc4,0xe2,0xe3,0xf6,0x44,0xee,0x10 C mulx 0x10(%rsi,%rbp,8),%rbx,%rax
adc %r8, %r11
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
jrcxz L(xit3)
jmp L(top3) C FIXME perhaps fall through
ALIGN(16)
L(top3):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
adc %r10, %r13
adc %r12, %rbx
adc $0, %rax
add $4, n
jnz L(top3)
inc un
add %r9, (rp)
adc %r11, 8(rp)
adc %r13, 16(rp)
adc %rbx, 24(rp)
adc $0, %rax
mov %rax, 32(rp)
jmp L(f2)
L(xit3):add %r9, (rp)
adc %r11, 8(rp)
adc 16(rp), %r13
adc 24(rp), %rbx
L(m): adc $0, %rax
mov %rax, 32(rp)
mov -24(up), %rdx C FIXME: CSE
mov -32(up), %r9 C FIXME: CSE
sar $63, %r9
and %rdx, %r9
add %r13, %r9
mulx( %rdx, %rax, %r10)
mov -16(up), %r8 C FIXME: CSE
adc $0, %r10
add %rax, %r9
adc $0, %r10
mov %r9, 16(rp)
mov -32(up), %rax
shl %rax
adc %rdx, %rdx
mulx( %r8, %r13, %r12)
mulx( -8,(up), %r11, %rax) C FIXME: CSE
add %r10, %r13
adc %r12, %r11
adc $0, %rax
add %rbx, %r13
mov %r13, 24(rp)
adc 32(rp), %r11
adc $0, %rax
mov -16(up), %rdx C FIXME: CSE
mov -8(up), %r8 C FIXME: CSE
mov -24(up), %r9
sar $63, %r9
and %rdx, %r9
add %r11, %r9
mulx( %rdx, %rbp, %r10)
adc $0, %r10
add %rbp, %r9
adc $0, %r10
mov %r9, 32(rp)
mov -24(up), %rbp
shl %rbp
adc %rdx, %rdx
mulx( %r8, %rbx, %rbp)
add %r10, %rbx
adc $0, %rbp
adc %rbx, %rax
mov %rax, 40(rp)
adc $0, %rbp
mov -8(up), %rdx C FIXME: CSE
mov -16(up), %r9 C FIXME: CSE
sar $63, %r9
and %rdx, %r9
add %rbp, %r9
mulx( %rdx, %rbp, %r10)
adc $0, %r10
add %rbp, %r9
adc $0, %r10
mov %r9, 48(rp)
mov %r10, 56(rp)
pop %rbx
pop %rbp
pop %r12
pop %r13
C pop %r14
pop %r15
FUNC_EXIT()
ret
EPILOGUE()
|
