/* BLIS An object-based framework for developing high-performance BLAS-like libraries. Copyright (C) 2014, The University of Texas at Austin Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. - Neither the name(s) of the copyright holder(s) nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #include "blis.h" #define BLIS_ASM_SYNTAX_ATT #include "bli_x86_asm_macros.h" #if 0 void bli_sgemmtrsm_u_penryn_asm_8x4 ( ) { } #endif void bli_dgemmtrsm_u_penryn_asm_4x4 ( dim_t m, dim_t n, dim_t k0, const void* alpha, const void* a12, const void* a11, const void* b21, void* b11, void* c11, inc_t rs_c0, inc_t cs_c0, auxinfo_t* data, const cntx_t* cntx ) { const void* b_next = bli_auxinfo_next_b( data ); // Typecast local copies of integers in case dim_t and inc_t are a // different size than is expected by load instructions. uint64_t k_iter = k0 / 4; uint64_t k_left = k0 % 4; uint64_t rs_c = rs_c0; uint64_t cs_c = cs_c0; GEMMTRSM_UKR_SETUP_CT( d, 4, 4, false ); begin_asm() mov(var(a12), rax) // load address of a12. mov(var(b21), rbx) // load address of b21. //mov(var(b_next), r9) // load address of b_next. add(imm(8*16), rax) // increment pointers to allow byte add(imm(8*16), rbx) // offsets in the unrolled iterations. movaps(mem(rax, -8*16), xmm0) // initialize loop by pre-loading elements movaps(mem(rax, -7*16), xmm1) // of a and b. movaps(mem(rbx, -8*16), xmm2) xorpd(xmm3, xmm3) xorpd(xmm4, xmm4) xorpd(xmm5, xmm5) xorpd(xmm6, xmm6) xorpd(xmm8, xmm8) movaps(xmm8, xmm9) movaps(xmm8, xmm10) movaps(xmm8, xmm11) movaps(xmm8, xmm12) movaps(xmm8, xmm13) movaps(xmm8, xmm14) movaps(xmm8, xmm15) mov(var(k_iter), rsi) // i = k_iter; test(rsi, rsi) // check i via logical AND. je(.CONSIDERKLEFT) // if i == 0, jump to code that // contains the k_left loop. label(.LOOPKITER) // MAIN LOOP prefetch(0, mem(rax, 1264)) addpd(xmm3, xmm11) // iteration 0 movaps(mem(rbx, -7*16), xmm3) addpd(xmm4, xmm15) movaps(xmm2, xmm4) pshufd(imm(0x4e), xmm2, xmm7) mulpd(xmm0, xmm2) mulpd(xmm1, xmm4) addpd(xmm5, xmm10) addpd(xmm6, xmm14) movaps(xmm7, xmm6) mulpd(xmm0, xmm7) mulpd(xmm1, xmm6) addpd(xmm2, xmm9) movaps(mem(rbx, -6*16), xmm2) addpd(xmm4, xmm13) movaps(xmm3, xmm4) pshufd(imm(0x4e), xmm3, xmm5) mulpd(xmm0, xmm3) mulpd(xmm1, xmm4) addpd(xmm7, xmm8) addpd(xmm6, xmm12) movaps(xmm5, xmm6) mulpd(xmm0, xmm5) movaps(mem(rax, -6*16), xmm0) mulpd(xmm1, xmm6) movaps(mem(rax, -5*16), xmm1) addpd(xmm3, xmm11) // iteration 1 movaps(mem(rbx, -5*16), xmm3) addpd(xmm4, xmm15) movaps(xmm2, xmm4) pshufd(imm(0x4e), xmm2, xmm7) mulpd(xmm0, xmm2) mulpd(xmm1, xmm4) addpd(xmm5, xmm10) addpd(xmm6, xmm14) movaps(xmm7, xmm6) mulpd(xmm0, xmm7) mulpd(xmm1, xmm6) addpd(xmm2, xmm9) movaps(mem(rbx, -4*16), xmm2) addpd(xmm4, xmm13) movaps(xmm3, xmm4) pshufd(imm(0x4e), xmm3, xmm5) mulpd(xmm0, xmm3) mulpd(xmm1, xmm4) addpd(xmm7, xmm8) addpd(xmm6, xmm12) movaps(xmm5, xmm6) mulpd(xmm0, xmm5) movaps(mem(rax, -4*16), xmm0) mulpd(xmm1, xmm6) movaps(mem(rax, -3*16), xmm1) prefetch(0, mem(rax, 1328)) addpd(xmm3, xmm11) // iteration 2 movaps(mem(rbx, -3*16), xmm3) addpd(xmm4, xmm15) movaps(xmm2, xmm4) pshufd(imm(0x4e), xmm2, xmm7) mulpd(xmm0, xmm2) mulpd(xmm1, xmm4) addpd(xmm5, xmm10) addpd(xmm6, xmm14) movaps(xmm7, xmm6) mulpd(xmm0, xmm7) mulpd(xmm1, xmm6) addpd(xmm2, xmm9) movaps(mem(rbx, -2*16), xmm2) addpd(xmm4, xmm13) movaps(xmm3, xmm4) pshufd(imm(0x4e), xmm3, xmm5) mulpd(xmm0, xmm3) mulpd(xmm1, xmm4) addpd(xmm7, xmm8) addpd(xmm6, xmm12) movaps(xmm5, xmm6) mulpd(xmm0, xmm5) movaps(mem(rax, -2*16), xmm0) mulpd(xmm1, xmm6) movaps(mem(rax, -1*16), xmm1) addpd(xmm3, xmm11) // iteration 3 movaps(mem(rbx, -1*16), xmm3) addpd(xmm4, xmm15) movaps(xmm2, xmm4) pshufd(imm(0x4e), xmm2, xmm7) mulpd(xmm0, xmm2) mulpd(xmm1, xmm4) addpd(xmm5, xmm10) addpd(xmm6, xmm14) movaps(xmm7, xmm6) mulpd(xmm0, xmm7) mulpd(xmm1, xmm6) add(imm(4*4*8), rax) // a += 4*4 (unroll x mr) addpd(xmm2, xmm9) movaps(mem(rbx, 0*16), xmm2) addpd(xmm4, xmm13) movaps(xmm3, xmm4) pshufd(imm(0x4e), xmm3, xmm5) mulpd(xmm0, xmm3) mulpd(xmm1, xmm4) add(imm(4*4*8), rbx) // b += 4*4 (unroll x nr) addpd(xmm7, xmm8) addpd(xmm6, xmm12) movaps(xmm5, xmm6) mulpd(xmm0, xmm5) movaps(mem(rax, -8*16), xmm0) mulpd(xmm1, xmm6) movaps(mem(rax, -7*16), xmm1) dec(rsi) // i -= 1; jne(.LOOPKITER) // iterate again if i != 0. label(.CONSIDERKLEFT) mov(var(k_left), rsi) // i = k_left; test(rsi, rsi) // check i via logical AND. je(.POSTACCUM) // if i == 0, we're done; jump to end. // else, we prepare to enter k_left loop. label(.LOOPKLEFT) // EDGE LOOP addpd(xmm3, xmm11) // iteration 0 movaps(mem(rbx, -7*16), xmm3) addpd(xmm4, xmm15) movaps(xmm2, xmm4) pshufd(imm(0x4e), xmm2, xmm7) mulpd(xmm0, xmm2) mulpd(xmm1, xmm4) addpd(xmm5, xmm10) addpd(xmm6, xmm14) movaps(xmm7, xmm6) mulpd(xmm0, xmm7) mulpd(xmm1, xmm6) addpd(xmm2, xmm9) movaps(mem(rbx, -6*16), xmm2) addpd(xmm4, xmm13) movaps(xmm3, xmm4) pshufd(imm(0x4e), xmm3, xmm5) mulpd(xmm0, xmm3) mulpd(xmm1, xmm4) addpd(xmm7, xmm8) addpd(xmm6, xmm12) movaps(xmm5, xmm6) mulpd(xmm0, xmm5) movaps(mem(rax, -6*16), xmm0) mulpd(xmm1, xmm6) movaps(mem(rax, -5*16), xmm1) add(imm(4*1*8), rax) // a += 4 (1 x mr) add(imm(4*1*8), rbx) // b += 4 (1 x nr) dec(rsi) // i -= 1; jne(.LOOPKLEFT) // iterate again if i != 0. label(.POSTACCUM) addpd(xmm3, xmm11) addpd(xmm4, xmm15) addpd(xmm5, xmm10) addpd(xmm6, xmm14) mov(var(b11), rbx) // load address of b11. // xmm8: xmm9: xmm10: xmm11: // ( ab01 ( ab00 ( ab03 ( ab02 // ab10 ) ab11 ) ab12 ) ab13 ) // // xmm12: xmm13: xmm14: xmm15: // ( ab21 ( ab20 ( ab23 ( ab22 // ab30 ) ab31 ) ab32 ) ab33 ) movaps(xmm9, xmm0) movaps(xmm8, xmm1) unpcklpd(xmm8, xmm0) unpckhpd(xmm9, xmm1) movaps(xmm11, xmm4) movaps(xmm10, xmm5) unpcklpd(xmm10, xmm4) unpckhpd(xmm11, xmm5) movaps(xmm13, xmm2) movaps(xmm12, xmm3) unpcklpd(xmm12, xmm2) unpckhpd(xmm13, xmm3) movaps(xmm15, xmm6) movaps(xmm14, xmm7) unpcklpd(xmm14, xmm6) unpckhpd(xmm15, xmm7) // xmm0: ( ab00 ab01 ) xmm4: ( ab02 ab03 ) // xmm1: ( ab10 ab11 ) xmm5: ( ab12 ab13 ) // xmm2: ( ab20 ab21 ) xmm6: ( ab22 ab23 ) // xmm3: ( ab30 ab31 ) xmm7: ( ab32 ab33 ) mov(var(alpha), rax) // load address of alpha movddup(mem(rax), xmm15) // load alpha and duplicate movaps(mem(rbx, 0*16), xmm8) movaps(mem(rbx, 1*16), xmm12) mulpd(xmm15, xmm8) // xmm8 = alpha * ( beta00 beta01 ) mulpd(xmm15, xmm12) // xmm12 = alpha * ( beta02 beta03 ) movaps(mem(rbx, 2*16), xmm9) movaps(mem(rbx, 3*16), xmm13) mulpd(xmm15, xmm9) // xmm9 = alpha * ( beta10 beta11 ) mulpd(xmm15, xmm13) // xmm13 = alpha * ( beta12 beta13 ) movaps(mem(rbx, 4*16), xmm10) movaps(mem(rbx, 5*16), xmm14) mulpd(xmm15, xmm10) // xmm10 = alpha * ( beta20 beta21 ) mulpd(xmm15, xmm14) // xmm14 = alpha * ( beta22 beta23 ) movaps(mem(rbx, 6*16), xmm11) mulpd(xmm15, xmm11) // xmm11 = alpha * ( beta30 beta31 ) mulpd(mem(rbx, 7*16), xmm15) // xmm15 = alpha * ( beta32 beta33 ) // (Now scaled by alpha:) // xmm8: ( beta00 beta01 ) xmm12: ( beta02 beta03 ) // xmm9: ( beta10 beta11 ) xmm13: ( beta12 beta13 ) // xmm10: ( beta20 beta21 ) xmm14: ( beta22 beta23 ) // xmm11: ( beta30 beta31 ) xmm15: ( beta32 beta33 ) subpd(xmm0, xmm8) // xmm8 -= xmm0 subpd(xmm1, xmm9) // xmm9 -= xmm1 subpd(xmm2, xmm10) // xmm10 -= xmm2 subpd(xmm3, xmm11) // xmm11 -= xmm3 subpd(xmm4, xmm12) // xmm12 -= xmm4 subpd(xmm5, xmm13) // xmm13 -= xmm5 subpd(xmm6, xmm14) // xmm14 -= xmm6 subpd(xmm7, xmm15) // xmm15 -= xmm7 label(.TRSM) mov(var(a11), rax) // load address of a11 mov(var(c11), rcx) // load address of c11 mov(var(rs_c), rsi) // load rs_c mov(var(cs_c), rdi) // load cs_c sal(imm(3), rsi) // rs_c *= sizeof( double ) sal(imm(3), rdi) // cs_c *= sizeof( double ) add(rsi, rcx) // c11 += (4-1)*rs_c add(rsi, rcx) add(rsi, rcx) lea(mem(rcx, rdi, 2), rdx) // c11_2 = c11 + 2*cs_c; // iteration 0 movddup(mem(3+3*4)*8(rax), xmm3) // load xmm3 = (1/alpha33) #ifdef BLIS_ENABLE_TRSM_PREINVERSION mulpd(xmm3, xmm11) // xmm11 *= (1/alpha33); mulpd(xmm3, xmm15) // xmm15 *= (1/alpha33); #else divpd(xmm3, xmm11) // xmm11 /= alpha33; divpd(xmm3, xmm15) // xmm15 /= alpha33; #endif movaps(xmm11, mem(rbx, 6*16)) // store ( beta30 beta31 ) = xmm11 movaps(xmm15, mem(rbx, 7*16)) // store ( beta32 beta33 ) = xmm15 movlpd(xmm11, mem(rcx)) // store ( gamma30 ) = xmm11[0] movhpd(xmm11, mem(rcx, rdi, 1)) // store ( gamma31 ) = xmm11[1] movlpd(xmm15, mem(rdx)) // store ( gamma32 ) = xmm15[0] movhpd(xmm15, mem(rdx, rdi, 1)) // store ( gamma33 ) = xmm15[1] sub(rsi, rcx) // c11 -= rs_c sub(rsi, rdx) // c11_2 -= rs_c // iteration 1 movddup(mem(2+2*4)*8(rax), xmm2) // load xmm2 = (1/alpha22) movddup(mem(2+3*4)*8(rax), xmm3) // load xmm3 = alpha23 movaps(xmm3, xmm7) // xmm7 = xmm3 mulpd(xmm11, xmm3) // xmm3 = alpha23 * ( beta30 beta31 ) mulpd(xmm15, xmm7) // xmm7 = alpha23 * ( beta32 beta33 ) subpd(xmm3, xmm10) // xmm10 -= xmm3 subpd(xmm7, xmm14) // xmm14 -= xmm7 #ifdef BLIS_ENABLE_TRSM_PREINVERSION mulpd(xmm2, xmm10) // xmm10 *= (1/alpha22); mulpd(xmm2, xmm14) // xmm14 *= (1/alpha22); #else divpd(xmm2, xmm10) // xmm10 /= alpha22; divpd(xmm2, xmm14) // xmm14 /= alpha22; #endif movaps(xmm10, mem(rbx, 4*16)) // store ( beta20 beta21 ) = xmm10 movaps(xmm14, mem(rbx, 5*16)) // store ( beta22 beta23 ) = xmm14 movlpd(xmm10, mem(rcx)) // store ( gamma20 ) = xmm10[0] movhpd(xmm10, mem(rcx, rdi, 1)) // store ( gamma21 ) = xmm10[1] movlpd(xmm14, mem(rdx)) // store ( gamma22 ) = xmm14[0] movhpd(xmm14, mem(rdx, rdi, 1)) // store ( gamma23 ) = xmm14[1] sub(rsi, rcx) // c11 -= rs_c sub(rsi, rdx) // c11_2 -= rs_c // iteration 2 movddup(mem(1+1*4)*8(rax), xmm1) // load xmm1 = (1/alpha11) movddup(mem(1+2*4)*8(rax), xmm2) // load xmm2 = alpha12 movddup(mem(1+3*4)*8(rax), xmm3) // load xmm3 = alpha13 movaps(xmm2, xmm6) // xmm6 = xmm2 movaps(xmm3, xmm7) // xmm7 = xmm3 mulpd(xmm10, xmm2) // xmm2 = alpha12 * ( beta20 beta21 ) mulpd(xmm14, xmm6) // xmm6 = alpha12 * ( beta22 beta23 ) mulpd(xmm11, xmm3) // xmm3 = alpha13 * ( beta30 beta31 ) mulpd(xmm15, xmm7) // xmm7 = alpha13 * ( beta32 beta33 ) addpd(xmm3, xmm2) // xmm2 += xmm3; addpd(xmm7, xmm6) // xmm6 += xmm7; subpd(xmm2, xmm9) // xmm9 -= xmm2 subpd(xmm6, xmm13) // xmm13 -= xmm6 #ifdef BLIS_ENABLE_TRSM_PREINVERSION mulpd(xmm1, xmm9) // xmm9 *= (1/alpha11); mulpd(xmm1, xmm13) // xmm13 *= (1/alpha11); #else divpd(xmm1, xmm9) // xmm9 /= alpha11; divpd(xmm1, xmm13) // xmm13 /= alpha11; #endif movaps(xmm9, mem(rbx, 2*16)) // store ( beta10 beta11 ) = xmm9 movaps(xmm13, mem(rbx, 3*16)) // store ( beta12 beta13 ) = xmm13 movlpd(xmm9, mem(rcx)) // store ( gamma10 ) = xmm9[0] movhpd(xmm9, mem(rcx, rdi, 1)) // store ( gamma11 ) = xmm9[1] movlpd(xmm13, mem(rdx)) // store ( gamma12 ) = xmm13[0] movhpd(xmm13, mem(rdx, rdi, 1)) // store ( gamma13 ) = xmm13[1] sub(rsi, rcx) // c11 -= rs_c sub(rsi, rdx) // c11_2 -= rs_c // iteration 3 movddup(mem(0+0*4)*8(rax), xmm0) // load xmm0 = (1/alpha00) movddup(mem(0+1*4)*8(rax), xmm1) // load xmm1 = alpha01 movddup(mem(0+2*4)*8(rax), xmm2) // load xmm2 = alpha02 movddup(mem(0+3*4)*8(rax), xmm3) // load xmm3 = alpha03 movaps(xmm1, xmm5) // xmm5 = xmm1 movaps(xmm2, xmm6) // xmm6 = xmm2 movaps(xmm3, xmm7) // xmm7 = xmm3 mulpd(xmm9, xmm1) // xmm1 = alpha01 * ( beta10 beta11 ) mulpd(xmm13, xmm5) // xmm5 = alpha01 * ( beta12 beta13 ) mulpd(xmm10, xmm2) // xmm2 = alpha02 * ( beta20 beta21 ) mulpd(xmm14, xmm6) // xmm6 = alpha02 * ( beta22 beta23 ) mulpd(xmm11, xmm3) // xmm3 = alpha03 * ( beta30 beta31 ) mulpd(xmm15, xmm7) // xmm7 = alpha03 * ( beta32 beta33 ) addpd(xmm2, xmm1) // xmm1 += xmm2; addpd(xmm6, xmm5) // xmm5 += xmm6; addpd(xmm3, xmm1) // xmm1 += xmm3; addpd(xmm7, xmm5) // xmm5 += xmm7; subpd(xmm1, xmm8) // xmm8 -= xmm1 subpd(xmm5, xmm12) // xmm12 -= xmm5 #ifdef BLIS_ENABLE_TRSM_PREINVERSION mulpd(xmm0, xmm8) // xmm8 *= (1/alpha00); mulpd(xmm0, xmm12) // xmm12 *= (1/alpha00); #else divpd(xmm0, xmm8) // xmm8 /= alpha00; divpd(xmm0, xmm12) // xmm12 /= alpha00; #endif movaps(xmm8, mem(rbx, 0*16)) // store ( beta00 beta01 ) = xmm8 movaps(xmm12, mem(rbx, 1*16)) // store ( beta02 beta03 ) = xmm12 movlpd(xmm8, mem(rcx)) // store ( gamma00 ) = xmm8[0] movhpd(xmm8, mem(rcx, rdi, 1)) // store ( gamma01 ) = xmm8[1] movlpd(xmm12, mem(rdx)) // store ( gamma02 ) = xmm12[0] movhpd(xmm12, mem(rdx, rdi, 1)) // store ( gamma03 ) = xmm12[1] end_asm( : // output operands (none) : // input operands [k_iter] "m" (k_iter), // 0 [k_left] "m" (k_left), // 1 [a12] "m" (a12), // 2 [a11] "m" (a11), // 3 [b21] "m" (b21), // 4 [b11] "m" (b11), // 5 [c11] "m" (c11), // 6 [rs_c] "m" (rs_c), // 7 [cs_c] "m" (cs_c), // 8 [alpha] "m" (alpha), // 9 [b_next] "m" (b_next) // 10 : // register clobber list "rax", "rbx", "rcx", "rdx", "rsi", "rdi", "xmm0", "xmm1", "xmm2", "xmm3", "xmm4", "xmm5", "xmm6", "xmm7", "xmm8", "xmm9", "xmm10", "xmm11", "xmm12", "xmm13", "xmm14", "xmm15", "memory" ) GEMMTRSM_UKR_FLUSH_CT( d ); }