dnl AMD64 mpn_mul_basecase optimised for Intel Haswell.
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 n/a n/a - n/a
C AMD K10 n/a n/a - n/a
C AMD bull n/a n/a - n/a
C AMD pile n/a n/a - n/a
C AMD steam ? ? - ?
C AMD bobcat n/a n/a - n/a
C AMD jaguar ? ? - ?
C Intel P4 n/a n/a - n/a
C Intel core n/a n/a - n/a
C Intel NHM n/a n/a - n/a
C Intel SBR n/a n/a - n/a
C Intel IBR n/a n/a - n/a
C Intel HWL 1.77 1.86 - 2.15
C Intel BWL ? ? - ?
C Intel atom n/a n/a - n/a
C VIA nano n/a n/a - n/a
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 * Adjoin a mul_3.
C * Further micro-optimise.
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
push %r12
push %r13
push %r14
mov un_param, un C free up rdx
neg un
mov un_param, n C FIXME: share
sar $2, n C FIXME: share
test $1, R8(vn)
jz L(do_mul_2)
define(`w4', `%r9')
define(`w5', `%r14')
mov (vp), %rdx
L(do_mul_1):
test $1, R8(un)
jnz L(m1x1)
L(m1x0):test $2, R8(un)
jnz L(m110)
L(m100):
mulx( (up), w5, w2)
mulx( 8,(up), w1, w3)
lea -24(rp), rp
jmp L(m1l0)
L(m110):
mulx( (up), w3, w4)
mulx( 8,(up), w1, w5)
lea -8(rp), rp
test n, n
jz L(cj2)
mulx( 16,(up), w0, w2)
lea 16(up), up
jmp L(m1l2)
L(m1x1):test $2, R8(un)
jz L(m111)
L(m101):
mulx( (up), w4, w5)
lea -16(rp), rp
test n, n
jz L(cj1)
mulx( 8,(up), w0, w2)
lea 8(up), up
jmp L(m1l1)
L(m111):
mulx( (up), w2, w3)
mulx( 8,(up), w0, w4)
mulx( 16,(up), w1, w5)
lea 24(up), up
test n, n
jnz L(gt3)
add w0, w3
jmp L(cj3)
L(gt3): add w0, w3
jmp L(m1l3)
ALIGN(32)
L(m1tp):lea 32(rp), rp
L(m1l3):mov w2, (rp)
mulx( (up), w0, w2)
L(m1l2):mov w3, 8(rp)
adc w1, w4
L(m1l1):adc w0, w5
mov w4, 16(rp)
mulx( 8,(up), w1, w3)
L(m1l0):mov w5, 24(rp)
mulx( 16,(up), w0, w4)
adc w1, w2
mulx( 24,(up), w1, w5)
adc w0, w3
lea 32(up), up
dec n
jnz L(m1tp)
L(m1ed):lea 32(rp), rp
L(cj3): mov w2, (rp)
L(cj2): mov w3, 8(rp)
adc w1, w4
L(cj1): mov w4, 16(rp)
adc $0, w5
mov w5, 24(rp)
dec R32(vn)
jz L(ret5)
lea 8(vp), vp
lea 32(rp), rp
C push %r12
C push %r13
C push %r14
jmp L(do_addmul)
L(do_mul_2):
define(`v1', `%r14')
C push %r12
C push %r13
C push %r14
mov (vp), v0
mov 8(vp), v1
lea (un), n
sar $2, n
test $1, R8(un)
jnz L(m2x1)
L(m2x0):xor w0, w0
test $2, R8(un)
mov (up), %rdx
mulx( v0, w2, w1)
jz L(m2l0)
L(m210):lea -16(rp), rp
lea -16(up), up
jmp L(m2l2)
L(m2x1):xor w2, w2
test $2, R8(un)
mov (up), %rdx
mulx( v0, w0, w3)
jz L(m211)
L(m201):lea -24(rp), rp
lea 8(up), up
jmp L(m2l1)
L(m211):lea -8(rp), rp
lea -8(up), up
jmp L(m2l3)
ALIGN(16)
L(m2tp):mulx( v1, %rax, w0)
add %rax, w2
mov (up), %rdx
mulx( v0, %rax, w1)
adc $0, w0
add %rax, w2
adc $0, w1
add w3, w2
L(m2l0):mov w2, (rp)
adc $0, w1
mulx( v1, %rax, w2)
add %rax, w0
mov 8(up), %rdx
adc $0, w2
mulx( v0, %rax, w3)
add %rax, w0
adc $0, w3
add w1, w0
L(m2l3):mov w0, 8(rp)
adc $0, w3
mulx( v1, %rax, w0)
add %rax, w2
mov 16(up), %rdx
mulx( v0, %rax, w1)
adc $0, w0
add %rax, w2
adc $0, w1
add w3, w2
L(m2l2):mov w2, 16(rp)
adc $0, w1
mulx( v1, %rax, w2)
add %rax, w0
mov 24(up), %rdx
adc $0, w2
mulx( v0, %rax, w3)
add %rax, w0
adc $0, w3
add w1, w0
lea 32(up), up
L(m2l1):mov w0, 24(rp)
adc $0, w3
inc n
lea 32(rp), rp
jnz L(m2tp)
L(m2ed):mulx( v1, %rdx, %rax)
add %rdx, w2
adc $0, %rax
add w3, w2
mov w2, (rp)
adc $0, %rax
mov %rax, 8(rp)
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')
lea (rp,un,8), rp
lea (up,un,8), up
L(outer):
mov (vp), v0
mov 8(vp), v1
lea 2(un), n
sar $2, n
mov (up), %rdx
test $1, R8(un)
jnz L(bx1)
L(bx0): mov (rp), X0
mov 8(rp), X1
mulx( v0, %rax, w1)
add %rax, X0
mulx( v1, %rax, w2)
adc $0, w1
mov X0, (rp)
add %rax, X1
adc $0, w2
mov 8(up), %rdx
test $2, R8(un)
jnz L(b10)
L(b00): lea 16(up), up
lea 16(rp), rp
jmp L(lo0)
L(b10): mov 16(rp), X0
lea 32(up), up
mulx( v0, %rax, w3)
jmp L(lo2)
L(bx1): mov (rp), X1
mov 8(rp), X0
mulx( v0, %rax, w3)
add %rax, X1
adc $0, w3
mulx( v1, %rax, w0)
add %rax, X0
adc $0, w0
mov 8(up), %rdx
mov X1, (rp)
mulx( v0, %rax, w1)
test $2, R8(un)
jz L(b11)
L(b01): mov 16(rp), X1
lea 24(rp), rp
lea 24(up), up
jmp L(lo1)
L(b11): lea 8(rp), rp
lea 8(up), up
jmp L(lo3)
ALIGN(16)
L(top): mulx( v0, %rax, w3)
add w0, X1
adc $0, w2
L(lo2): add %rax, X1
adc $0, w3
mulx( v1, %rax, w0)
add %rax, X0
adc $0, w0
lea 32(rp), rp
add w1, X1
mov -16(up), %rdx
mov X1, -24(rp)
adc $0, w3
add w2, X0
mov -8(rp), X1
mulx( v0, %rax, w1)
adc $0, w0
L(lo1): add %rax, X0
mulx( v1, %rax, w2)
adc $0, w1
add w3, X0
mov X0, -16(rp)
adc $0, w1
add %rax, X1
adc $0, w2
add w0, X1
mov -8(up), %rdx
adc $0, w2
L(lo0): mulx( v0, %rax, w3)
add %rax, X1
adc $0, w3
mov (rp), X0
mulx( v1, %rax, w0)
add %rax, X0
adc $0, w0
add w1, X1
mov X1, -8(rp)
adc $0, w3
mov (up), %rdx
add w2, X0
mulx( v0, %rax, w1)
adc $0, w0
L(lo3): add %rax, X0
adc $0, w1
mulx( v1, %rax, w2)
add w3, X0
mov 8(rp), X1
mov X0, (rp)
mov 16(rp), X0
adc $0, w1
add %rax, X1
adc $0, w2
mov 8(up), %rdx
lea 32(up), up
inc n
jnz L(top)
L(end): mulx( v0, %rax, w3)
add w0, X1
adc $0, w2
add %rax, X1
adc $0, w3
mulx( v1, %rdx, %rax)
add w1, X1
mov X1, 8(rp)
adc $0, w3
add w2, %rdx
adc $0, %rax
add w3, %rdx
mov %rdx, 16(rp)
adc $0, %rax
mov %rax, 24(rp)
addl $-2, vn
lea 16(vp), vp
lea -16(up,un,8), up
lea 32(rp,un,8), rp
jnz L(outer)
pop %rax C deallocate vn slot
pop %r15
L(ret5):pop %r14
L(ret4):pop %r13
L(ret3):pop %r12
L(ret2):pop %rbp
pop %rbx
FUNC_EXIT()
ret
EPILOGUE()