dnl AMD64 mpn_mul_basecase. dnl Contributed to the GNU project by Torbjörn Granlund. dnl Copyright 2012, 2013, 2022 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 C AMD K8,K9 - C AMD K10 - C AMD bd1 - C AMD bd2 - C AMD bd3 - C AMD bd4 - C AMD zn1 ? C AMD zn2 ? C AMD zn3 ? C AMD bt1 - C AMD bt2 - C Intel P4 - C Intel CNR - C Intel PNR - C Intel NHM - C Intel WSM - C Intel SBR - C Intel IBR - C Intel HWL - C Intel BWL ? C Intel SKL ? C Intel RKL ? C Intel ALD 1.29 C Intel atom - C Intel SLM - C Intel GLM - C VIA nano - C TODO C * Do overlapped software pipelining. C * Try shallower pipeline, which would result in using fewer registers. C * There are false dependencies on CF/OF between iterations. Try breaking C them to see if it helps. define(`rp', `%rdi') dnl rcx define(`up', `%rsi') dnl rdx define(`un_arg',`%rdx') dnl r8 define(`vp_arg',`%rcx') dnl r9 define(`vn_arg',`%r8') dnl stack define(`un', `%r14') define(`vp', `%r15') define(`vn', `%rbp') define(`n', `%rcx') define(`v0', `%rdx') ASM_START() TEXT ALIGN(16) PROLOGUE(mpn_mul_basecase) cmp $2, un_arg ja L(gen) mov (vp_arg), %rdx mulx( (up), %rax, %r9) mov %rax, (rp) je L(s2x) mov %r9, 8(rp) ret L(s2x): mulx( 8,(up), %rax, %r10) add %r9, %rax adc $0, %r10 cmp $2, R32(vn_arg) je L(s22) L(s21): mov %rax, 8(rp) mov %r10, 16(rp) ret L(s22): mov 8(vp_arg), %rdx mulx( (up), %r8, %r9) add %r8, %rax adc %r10, %r9 mov %rax, 8(rp) mulx( 8,(up), %rax, %r10) adc $0, %r10 adc %r9, %rax mov %rax, 16(rp) adc $0, %r10 mov %r10, 24(rp) ret L(gen): push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 mov un_arg, un neg un shl $3, un mov vp_arg, vp mov vn_arg, vn test $1, R8(un_arg) mov (vp), %rdx jz L(bx0) L(bx1): test $16, R8(un) jnz L(b01) L(b11): lea 24(un), n mulx( (up), %r11, %r10) mulx( 8,(up), %r13, %r12) mulx( 16,(up), %rbx, %rax) lea 8(rp), rp lea 24(up), up jrcxz L(med3) L(mtp3):mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(med3) jmp L(mtp3) L(med3):adcx( %r10, %r13) mov %r11, -8(rp) adcx( %r12, %rbx) mov %r13, (rp) adcx( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jz L(ret) L(out3):lea 32(rp,un), rp lea 24(up,un), up lea 8(vp), vp xor R32(%rdx), R32(%rdx) mov (vp), %rdx mulx( -24,(up), %r11, %r10) mulx( -16,(up), %r13, %r12) mulx( -8,(up), %rbx, %rax) lea 24(un), n adox( -8,(rp), %r11) jrcxz L(ed3) L(tp3): mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) adox( 16,(rp), %r9) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) adox( 24,(rp), %r11) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(ed3) jmp L(tp3) L(ed3): adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) adcx( %rcx, %rax) adox( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jnz L(out3) jmp L(ret) L(b01): mulx( (up), %rbx, %rax) lea 8(un), n mulx( 8,(up), %r9, %r8) mulx( 16,(up), %r11, %r10) lea 8(up), up lea -8(rp), rp jmp L(ml1) L(mtp1):mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) L(ml1): mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(med1) jmp L(mtp1) L(med1):adcx( %r10, %r13) mov %r11, -8(rp) adcx( %r12, %rbx) mov %r13, (rp) adcx( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jz L(ret) L(out1):lea 16(rp,un), rp lea 8(up,un), up lea 8(vp), vp xor R32(%rdx), R32(%rdx) mov (vp), %rdx lea 8(un), n mulx( -8,(up), %rbx, %rax) mulx( (up), %r9, %r8) mulx( 8,(up), %r11, %r10) jmp L(lo1) L(tp1): mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) L(lo1): adox( 8,(rp), %rbx) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) adox( 16,(rp), %r9) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) adox( 24,(rp), %r11) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(ed1) jmp L(tp1) L(ed1): adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) adcx( %rcx, %rax) adox( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jnz L(out1) jmp L(ret) L(bx0): test $16, R8(un) jz L(b00) L(b10): mulx( (up), %r13, %r12) mulx( 8,(up), %rbx, %rax) lea 16(un), n mulx( 16,(up), %r9, %r8) lea 16(up), up jmp L(ml2) L(mtp2):mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) L(ml2): mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(med2) jmp L(mtp2) L(med2):adcx( %r10, %r13) mov %r11, -8(rp) adcx( %r12, %rbx) mov %r13, (rp) adcx( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jz L(ret) L(out2):lea 24(rp,un), rp lea 16(up,un), up lea 8(vp), vp xor R32(%rdx), R32(%rdx) mov (vp), %rdx mulx( -16,(up), %r13, %r12) mulx( -8,(up), %rbx, %rax) lea 16(un), n mulx( (up), %r9, %r8) jmp L(lo2) L(tp2): mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) L(lo2): adox( (rp), %r13) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) adox( 16,(rp), %r9) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) adox( 24,(rp), %r11) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(ed2) jmp L(tp2) L(ed2): adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) adcx( %rcx, %rax) adox( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jnz L(out2) jmp L(ret) L(b00): lea 32(un), n mulx( (up), %r9, %r8) mulx( 8,(up), %r11, %r10) mulx( 16,(up), %r13, %r12) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, (rp) lea 32(up), up lea 16(rp), rp jrcxz L(med0) L(mtp0):mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(med0) jmp L(mtp0) L(med0):adcx( %r10, %r13) mov %r11, -8(rp) adcx( %r12, %rbx) mov %r13, (rp) adcx( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jz L(ret) L(out0):lea 40(rp,un), rp lea 32(up,un), up lea 8(vp), vp xor R32(%rdx), R32(%rdx) mov (vp), %rdx lea 32(un), n mulx( -32,(up), %r9, %r8) mulx( -24,(up), %r11, %r10) mulx( -16,(up), %r13, %r12) adox( -16,(rp), %r9) mulx( -8,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, -16(rp) adox( -8,(rp), %r11) jrcxz L(ed0) L(tp0): mulx( (up), %r9, %r8) adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) mulx( 8,(up), %r11, %r10) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) mulx( 16,(up), %r13, %r12) adcx( %rax, %r9) mov %rbx, 8(rp) adox( 16,(rp), %r9) mulx( 24,(up), %rbx, %rax) adcx( %r8, %r11) mov %r9, 16(rp) adox( 24,(rp), %r11) lea 32(up), up lea 32(rp), rp lea 32(n), n jrcxz L(ed0) jmp L(tp0) L(ed0): adcx( %r10, %r13) mov %r11, -8(rp) adox( (rp), %r13) adcx( %r12, %rbx) mov %r13, (rp) adox( 8,(rp), %rbx) adcx( %rcx, %rax) adox( %rcx, %rax) mov %rbx, 8(rp) mov %rax, 16(rp) dec vn jnz L(out0) L(ret): pop %r15 pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx ret EPILOGUE() ASM_END()