dnl X64-64 mpn_mullo_basecase optimised for Intel Broadwell. dnl Contributed to the GNU project by Torbjorn Granlund. dnl Copyright 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 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. define(`rp', `%rdi') define(`up', `%rsi') define(`vp_param', `%rdx') define(`n', `%rcx') define(`vp', `%r11') define(`jmpreg',`%rbx') define(`nn', `%rbp') C TODO C * Suppress more rp[] rewrites in corner. C * Rearrange feed-in jumps for short branch forms. C * Perhaps roll out the heavy artillery and 8-way unroll outer loop. Since C feed-in code implodes, the blow-up will not be more than perhaps 4x. C * Micro-optimise critical lead-in code block around L(ent). C * Write n < 4 code specifically for Broadwell (current code is for Haswell). ABI_SUPPORT(DOS64) ABI_SUPPORT(STD64) ASM_START() TEXT ALIGN(32) PROLOGUE(mpn_mullo_basecase) FUNC_ENTRY(4) cmp $4, R32(n) jae L(big) mov vp_param, vp mov (up), %rdx cmp $2, R32(n) jae L(gt1) L(n1): imul (vp), %rdx mov %rdx, (rp) FUNC_EXIT() ret L(gt1): ja L(gt2) L(n2): mov (vp), %r9 mulx( %r9, %rax, %rdx) 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), %r9 mulx( %r9, %rax, %r10) C u0 x v0 mov %rax, (rp) mov 8(up), %rdx mulx( %r9, %rax, %rdx) C u1 x v0 imul 16(up), %r9 C u2 x v0 add %rax, %r10 adc %rdx, %r9 mov 8(vp), %r8 mov (up), %rdx mulx( %r8, %rax, %rdx) C u0 x v1 add %rax, %r10 adc %rdx, %r9 imul 8(up), %r8 C u1 x v1 add %r8, %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 ALIGN(16) L(big): push %r14 push %r12 push %rbx push %rbp mov -8(vp_param,n,8), %r14 C FIXME Put at absolute end imul (up), %r14 C FIXME Put at absolute end lea -3(n), R32(nn) lea 8(vp_param), vp mov (vp_param), %rdx mov R32(n), R32(%rax) shr $3, R32(n) and $7, R32(%rax) C clear OF, CF as side-effect lea L(mtab)(%rip), %r10 ifdef(`PIC', ` movslq (%r10,%rax,4), %rax lea (%rax, %r10), %r10 jmp *%r10 ',` jmp *(%r10,%rax,8) ') L(mf0): mulx( (up), %r10, %r8) lea 56(up), up lea -8(rp), rp lea L(f7)(%rip), jmpreg jmp L(mb0) L(mf3): mulx( (up), %r9, %rax) lea 16(up), up lea 16(rp), rp jrcxz L(mc) inc R32(n) lea L(f2)(%rip), jmpreg jmp L(mb3) L(mc): mulx( -8,(up), %r10, %r8) add %rax, %r10 mov %r9, -16(rp) mulx( (up), %r9, %rax) mov %r10, -8(rp) adc %r8, %r9 mov %r9, (rp) jmp L(c2) L(mf4): mulx( (up), %r10, %r8) lea 24(up), up lea 24(rp), rp inc R32(n) lea L(f3)(%rip), jmpreg jmp L(mb4) L(mf5): mulx( (up), %r9, %rax) lea 32(up), up lea 32(rp), rp inc R32(n) lea L(f4)(%rip), jmpreg jmp L(mb5) L(mf6): mulx( (up), %r10, %r8) lea 40(up), up lea 40(rp), rp inc R32(n) lea L(f5)(%rip), jmpreg jmp L(mb6) L(mf7): mulx( (up), %r9, %rax) lea 48(up), up lea 48(rp), rp lea L(f6)(%rip), jmpreg jmp L(mb7) L(mf1): mulx( (up), %r9, %rax) lea L(f0)(%rip), jmpreg jmp L(mb1) L(mf2): mulx( (up), %r10, %r8) lea 8(up), up lea 8(rp), rp lea L(f1)(%rip), jmpreg mulx( (up), %r9, %rax) C FIXME ugly fallthrough FIXME ALIGN(32) L(mtop):mov %r10, -8(rp) adc %r8, %r9 L(mb1): mulx( 8,(up), %r10, %r8) adc %rax, %r10 lea 64(up), up mov %r9, (rp) L(mb0): mov %r10, 8(rp) mulx( -48,(up), %r9, %rax) lea 64(rp), rp adc %r8, %r9 L(mb7): mulx( -40,(up), %r10, %r8) mov %r9, -48(rp) adc %rax, %r10 L(mb6): mov %r10, -40(rp) mulx( -32,(up), %r9, %rax) adc %r8, %r9 L(mb5): mulx( -24,(up), %r10, %r8) mov %r9, -32(rp) adc %rax, %r10 L(mb4): mulx( -16,(up), %r9, %rax) mov %r10, -24(rp) adc %r8, %r9 L(mb3): mulx( -8,(up), %r10, %r8) adc %rax, %r10 mov %r9, -16(rp) dec R32(n) mulx( (up), %r9, %rax) jnz L(mtop) L(mend):mov %r10, -8(rp) adc %r8, %r9 mov %r9, (rp) adc %rcx, %rax lea 8(,nn,8), %r12 neg %r12 shr $3, R32(nn) jmp L(ent) L(f0): mulx( (up), %r10, %r8) lea -8(up), up lea -8(rp), rp lea L(f7)(%rip), jmpreg jmp L(b0) L(f1): mulx( (up), %r9, %rax) lea -1(nn), R32(nn) lea L(f0)(%rip), jmpreg jmp L(b1) L(end): adox( (rp), %r9) mov %r9, (rp) adox( %rcx, %rax) C relies on rcx = 0 adc %rcx, %rax C FIXME suppress, use adc below; reqs ent path edits lea 8(%r12), %r12 L(ent): mulx( 8,(up), %r10, %r8) C r8 unused (use imul?) add %rax, %r14 add %r10, %r14 C h lea (up,%r12), up C reset up lea 8(rp,%r12), rp C reset rp mov (vp), %rdx lea 8(vp), vp or R32(nn), R32(n) C copy count, clear CF,OF (n = 0 prior) jmp *jmpreg L(f7): mulx( (up), %r9, %rax) lea -16(up), up lea -16(rp), rp lea L(f6)(%rip), jmpreg jmp L(b7) L(f2): mulx( (up), %r10, %r8) lea 8(up), up lea 8(rp), rp mulx( (up), %r9, %rax) lea L(f1)(%rip), jmpreg C FIXME ugly fallthrough FIXME ALIGN(32) L(top): adox( -8,(rp), %r10) adcx( %r8, %r9) mov %r10, -8(rp) jrcxz L(end) L(b1): mulx( 8,(up), %r10, %r8) adox( (rp), %r9) lea -1(n), R32(n) mov %r9, (rp) adcx( %rax, %r10) L(b0): mulx( 16,(up), %r9, %rax) adcx( %r8, %r9) adox( 8,(rp), %r10) mov %r10, 8(rp) L(b7): mulx( 24,(up), %r10, %r8) lea 64(up), up adcx( %rax, %r10) adox( 16,(rp), %r9) mov %r9, 16(rp) L(b6): mulx( -32,(up), %r9, %rax) adox( 24,(rp), %r10) adcx( %r8, %r9) mov %r10, 24(rp) L(b5): mulx( -24,(up), %r10, %r8) adcx( %rax, %r10) adox( 32,(rp), %r9) mov %r9, 32(rp) L(b4): mulx( -16,(up), %r9, %rax) adox( 40,(rp), %r10) adcx( %r8, %r9) mov %r10, 40(rp) L(b3): adox( 48,(rp), %r9) mulx( -8,(up), %r10, %r8) mov %r9, 48(rp) lea 64(rp), rp adcx( %rax, %r10) mulx( (up), %r9, %rax) jmp L(top) L(f6): mulx( (up), %r10, %r8) lea 40(up), up lea -24(rp), rp lea L(f5)(%rip), jmpreg jmp L(b6) L(f5): mulx( (up), %r9, %rax) lea 32(up), up lea -32(rp), rp lea L(f4)(%rip), jmpreg jmp L(b5) L(f4): mulx( (up), %r10, %r8) lea 24(up), up lea -40(rp), rp lea L(f3)(%rip), jmpreg jmp L(b4) L(f3): mulx( (up), %r9, %rax) lea 16(up), up lea -48(rp), rp jrcxz L(cor) lea L(f2)(%rip), jmpreg jmp L(b3) L(cor): adox( 48,(rp), %r9) mulx( -8,(up), %r10, %r8) mov %r9, 48(rp) lea 64(rp), rp adcx( %rax, %r10) mulx( (up), %r9, %rax) adox( -8,(rp), %r10) adcx( %r8, %r9) mov %r10, -8(rp) C FIXME suppress adox( (rp), %r9) mov %r9, (rp) C FIXME suppress adox( %rcx, %rax) L(c2): mulx( 8,(up), %r10, %r8) adc %rax, %r14 add %r10, %r14 mov (vp), %rdx test R32(%rcx), R32(%rcx) mulx( -16,(up), %r10, %r8) mulx( -8,(up), %r9, %rax) adox( -8,(rp), %r10) adcx( %r8, %r9) mov %r10, -8(rp) adox( (rp), %r9) adox( %rcx, %rax) adc %rcx, %rax mulx( (up), %r10, %r8) add %rax, %r14 add %r10, %r14 mov 8(vp), %rdx mulx( -16,(up), %rcx, %rax) add %r9, %rcx mov %rcx, (rp) adc $0, %rax mulx( -8,(up), %r10, %r8) add %rax, %r14 add %r10, %r14 mov %r14, 8(rp) pop %rbp pop %rbx pop %r12 pop %r14 FUNC_EXIT() ret EPILOGUE() JUMPTABSECT ALIGN(8) L(mtab):JMPENT( L(mf7), L(mtab)) JMPENT( L(mf0), L(mtab)) JMPENT( L(mf1), L(mtab)) JMPENT( L(mf2), L(mtab)) JMPENT( L(mf3), L(mtab)) JMPENT( L(mf4), L(mtab)) JMPENT( L(mf5), L(mtab)) JMPENT( L(mf6), L(mtab))