/* BLIS An object-based framework for developing high-performance BLAS-like libraries. Copyright (C) 2014, The University of Texas at Austin Copyright (C) 2021, The University of Tokyo 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" // Label locality & misc. #include "armv8a_asm_utils.h" // Nanokernel operations. #include "armv8a_asm_d2x2.h" /* Order of row-major DGEMM_6x8's execution in 2x2 blocks: * * +---+ +---+ +---+ +---+ * | 0 | | 1 | | 6 | | 7 | * +---+ +---+ +---+ +---+ * +---+ +---+ +---+ +---+ * | 2 | | 3 | | 8 | | 9 | * +---+ +---+ +---+ +---+ * +---+ +---+ +---+ +---+ * | 4 | | 5 | | 10| | 11| * +---+ +---+ +---+ +---+ * */ #define DGEMM_6X8_MKER_LOOP_PLAIN(C00,C01,C02,C03,C10,C11,C12,C13,C20,C21,C22,C23,C30,C31,C32,C33,C40,C41,C42,C43,C50,C51,C52,C53,A0,A1,A2,B0,B1,B2,B3,AADDR,ASHIFT,BADDR,BSHIFT,LOADNEXT) \ DGEMM_2X2_NANOKERNEL(C00,C10,B0,A0) \ DGEMM_2X2_NANOKERNEL(C01,C11,B1,A0) \ DGEMM_2X2_NANOKERNEL(C20,C30,B0,A1) \ DGEMM_2X2_NANOKERNEL(C21,C31,B1,A1) \ DGEMM_2X2_NANOKERNEL(C40,C50,B0,A2) \ DGEMM_2X2_NANOKERNEL(C41,C51,B1,A2) \ DGEMM_LOAD2V_ ##LOADNEXT (B0,B1,BADDR,BSHIFT) \ DGEMM_2X2_NANOKERNEL(C02,C12,B2,A0) \ DGEMM_2X2_NANOKERNEL(C03,C13,B3,A0) \ DGEMM_LOAD1V_ ##LOADNEXT (A0,AADDR,ASHIFT) \ DGEMM_2X2_NANOKERNEL(C22,C32,B2,A1) \ DGEMM_2X2_NANOKERNEL(C23,C33,B3,A1) \ DGEMM_LOAD1V_ ##LOADNEXT (A1,AADDR,ASHIFT+16) \ DGEMM_2X2_NANOKERNEL(C42,C52,B2,A2) \ DGEMM_2X2_NANOKERNEL(C43,C53,B3,A2) // Interleaving load or not. #define DGEMM_LOAD1V_noload(V1,ADDR,IMM) #define DGEMM_LOAD1V_load(V1,ADDR,IMM) \ " ldr q"#V1", ["#ADDR", #"#IMM"] \n\t" #define DGEMM_LOAD2V_noload(V1,V2,ADDR,IMM) #define DGEMM_LOAD2V_load(V1,V2,ADDR,IMM) \ DGEMM_LOAD1V_load(V1,ADDR,IMM) \ DGEMM_LOAD1V_load(V2,ADDR,IMM+16) // For contiguous storage of C. #define DLOADC_4V_R_FWD(C0,C1,C2,C3,CADDR,CSHIFT,RSC) \ DLOAD4V(C0,C1,C2,C3,CADDR,CSHIFT) \ " add "#CADDR", "#CADDR", "#RSC" \n\t" #define DSTOREC_4V_R_FWD(C0,C1,C2,C3,CADDR,CSHIFT,RSC) \ DSTORE4V(C0,C1,C2,C3,CADDR,CSHIFT) \ " add "#CADDR", "#CADDR", "#RSC" \n\t" #define DPRFMC_FWD(CADDR,RSC) \ " prfm PLDL1KEEP, ["#CADDR"] \n\t" \ " add "#CADDR", "#CADDR", "#RSC" \n\t" // For scattered storage of C. #define DLOADC_GATHER_4V_R_FWD(C0,C1,C2,C3,CADDR,CELEM,CSC,RSC) \ " mov "#CELEM", "#CADDR" \n\t" \ DLOAD1V_GATHER_ELMFWD(C0,CELEM,CSC) \ DLOAD1V_GATHER_ELMFWD(C1,CELEM,CSC) \ DLOAD1V_GATHER_ELMFWD(C2,CELEM,CSC) \ DLOAD1V_GATHER_ELMFWD(C3,CELEM,CSC) \ " add "#CADDR", "#CADDR", "#RSC" \n\t" #define DSTOREC_SCATTER_4V_R_FWD(C0,C1,C2,C3,CADDR,CELEM,CSC,RSC) \ " mov "#CELEM", "#CADDR" \n\t" \ DSTORE1V_SCATTER_ELMFWD(C0,CELEM,CSC) \ DSTORE1V_SCATTER_ELMFWD(C1,CELEM,CSC) \ DSTORE1V_SCATTER_ELMFWD(C2,CELEM,CSC) \ DSTORE1V_SCATTER_ELMFWD(C3,CELEM,CSC) \ " add "#CADDR", "#CADDR", "#RSC" \n\t" void bli_dgemm_armv8a_asm_6x8r ( dim_t k0, double* restrict alpha, double* restrict a, double* restrict b, double* restrict beta, double* restrict c, inc_t rs_c0, inc_t cs_c0, auxinfo_t* restrict data, cntx_t* restrict cntx ) { void* a_next = bli_auxinfo_next_a( data ); 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_mker = k0 / 4; uint64_t k_left = k0 % 4; uint64_t rs_c = rs_c0; uint64_t cs_c = cs_c0; __asm__ volatile ( " ldr x0, %[a] \n\t" " ldr x1, %[b] \n\t" " mov x2, #6 \n\t" // Column-skip of A. " mov x3, #8 \n\t" // Row-skip of B. " \n\t" " ldr x5, %[c] \n\t" " ldr x6, %[rs_c] \n\t" // Row-skip of C. " ldr x7, %[cs_c] \n\t" // Column-skip of C. " \n\t" " \n\t" // Multiply some address skips by sizeof(double). " lsl x2, x2, #3 \n\t" // cs_a " lsl x3, x3, #3 \n\t" // rs_b " lsl x6, x6, #3 \n\t" // rs_c " lsl x7, x7, #3 \n\t" // cs_c " \n\t" " mov x9, x5 \n\t" " cmp x7, #8 \n\t" // Do not prefetch C for generic strided. BNE(C_PREFETCH_END) DPRFMC_FWD(x9,x6) DPRFMC_FWD(x9,x6) DPRFMC_FWD(x9,x6) DPRFMC_FWD(x9,x6) DPRFMC_FWD(x9,x6) DPRFMC_FWD(x9,x6) LABEL(C_PREFETCH_END) " \n\t" " ldr x4, %[k_mker] \n\t" // Number of loops. " ldr x8, %[k_left] \n\t" " \n\t" // Storage scheme: // V[ 0:23] <- C // V[24:27] <- A // V[28:31] <- B // Under this scheme, the following is defined: #define DGEMM_6X8_MKER_LOOP_PLAIN_LOC(A0,A1,A2,B0,B1,B2,B3,AADDR,ASHIFT,BADDR,BSHIFT,LOADNEXT) \ DGEMM_6X8_MKER_LOOP_PLAIN(0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,A0,A1,A2,B0,B1,B2,B3,AADDR,ASHIFT,BADDR,BSHIFT,LOADNEXT) // Load from memory. LABEL(LOAD_ABC) " \n\t" // No-microkernel early return is a must " cmp x4, #0 \n\t" // to avoid out-of-boundary read. BEQ(CLEAR_CCOLS) " \n\t" " ldr q24, [x0, #16*0] \n\t" // Load A. " ldr q25, [x0, #16*1] \n\t" " ldr q26, [x0, #16*2] \n\t" " add x0, x0, x2 \n\t" " ldr q27, [x0, #16*0] \n\t" " \n\t" " ldr q28, [x1, #16*0] \n\t" // Load B. " ldr q29, [x1, #16*1] \n\t" " ldr q30, [x1, #16*2] \n\t" " ldr q31, [x1, #16*3] \n\t" " add x1, x1, x3 \n\t" LABEL(CLEAR_CCOLS) CLEAR8V(0,1,2,3,4,5,6,7) CLEAR8V(8,9,10,11,12,13,14,15) CLEAR8V(16,17,18,19,20,21,22,23) // No-microkernel early return, once again. BEQ(K_LEFT_LOOP) // // Microkernel is defined here as: #define DGEMM_6X8_MKER_LOOP_PLAIN_LOC_FWD(A0,A1,A2,B0,B1,B2,B3) \ DGEMM_6X8_MKER_LOOP_PLAIN_LOC(A0,A1,A2,B0,B1,B2,B3,x0,1*16,x1,0,load) \ "add x0, x0, x2 \n\t" \ "ldr q"#A2", [x0, #16*0] \n\t" \ "ldr q"#B2", [x1, #16*2] \n\t" \ "ldr q"#B3", [x1, #16*3] \n\t" \ "add x1, x1, x3 \n\t" // Start microkernel loop. LABEL(K_MKER_LOOP) DGEMM_6X8_MKER_LOOP_PLAIN_LOC_FWD(24,25,26,28,29,30,31) DGEMM_6X8_MKER_LOOP_PLAIN_LOC_FWD(27,24,25,28,29,30,31) " \n\t" // Decrease counter before final replica. " subs x4, x4, #1 \n\t" // Branch early to avoid reading excess mem. BEQ(FIN_MKER_LOOP) DGEMM_6X8_MKER_LOOP_PLAIN_LOC_FWD(26,27,24,28,29,30,31) DGEMM_6X8_MKER_LOOP_PLAIN_LOC_FWD(25,26,27,28,29,30,31) BRANCH(K_MKER_LOOP) // // Final microkernel loop. LABEL(FIN_MKER_LOOP) DGEMM_6X8_MKER_LOOP_PLAIN_LOC(26,27,24,28,29,30,31,x0,1*16,x1,0,load) " add x0, x0, x2 \n\t" " ldr q30, [x1, #16*2] \n\t" " ldr q31, [x1, #16*3] \n\t" " add x1, x1, x3 \n\t" DGEMM_6X8_MKER_LOOP_PLAIN_LOC(25,26,27,28,29,30,31,xzr,-1,xzr,-1,noload) // // Loops left behind microkernels. LABEL(K_LEFT_LOOP) " cmp x8, #0 \n\t" // End of exec. BEQ(WRITE_MEM_PREP) " ldr q24, [x0, #16*0] \n\t" // Load A col. " ldr q25, [x0, #16*1] \n\t" " ldr q26, [x0, #16*2] \n\t" " add x0, x0, x2 \n\t" " ldr q28, [x1, #16*0] \n\t" // Load B row. " ldr q29, [x1, #16*1] \n\t" " ldr q30, [x1, #16*2] \n\t" " ldr q31, [x1, #16*3] \n\t" " add x1, x1, x3 \n\t" " sub x8, x8, #1 \n\t" DGEMM_6X8_MKER_LOOP_PLAIN_LOC(24,25,26,28,29,30,31,xzr,-1,xzr,-1,noload) BRANCH(K_LEFT_LOOP) // // Scale and write to memory. LABEL(WRITE_MEM_PREP) " ldr x4, %[alpha] \n\t" // Load alpha & beta (address). " ldr x8, %[beta] \n\t" " ld1r {v24.2d}, [x4] \n\t" // Load alpha & beta. " ld1r {v25.2d}, [x8] \n\t" " \n\t" LABEL(PREFETCH_ABNEXT) " ldr x0, %[a_next] \n\t" " ldr x1, %[b_next] \n\t" " prfm PLDL1STRM, [x0, 64*0] \n\t" // Do not know cache line size, " prfm PLDL1STRM, [x0, 64*1] \n\t" // issue some number of prfm instructions " prfm PLDL1STRM, [x0, 64*2] \n\t" // to try to activate hardware prefetcher. " prfm PLDL1STRM, [x1, 64*0] \n\t" " prfm PLDL1STRM, [x1, 64*1] \n\t" " prfm PLDL1STRM, [x1, 64*3] \n\t" " \n\t" " fmov d26, #1.0 \n\t" " fcmp d24, d26 \n\t" BEQ(UNIT_ALPHA) DSCALE8V(0,1,2,3,4,5,6,7,24,0) DSCALE8V(8,9,10,11,12,13,14,15,24,0) DSCALE8V(16,17,18,19,20,21,22,23,24,0) LABEL(UNIT_ALPHA) " \n\t" " mov x9, x5 \n\t" // C address for loading. " \n\t" // C address for storing is x5 itself. " cmp x7, #8 \n\t" // Check for generic storage. BNE(WRITE_MEM_G) // // Contiguous C-storage. LABEL(WRITE_MEM_R) " fcmp d25, #0.0 \n\t" // Sets conditional flag whether *beta == 0. " \n\t" // This conditional flag will be used " \n\t" // multiple times for skipping load. // Row 0: BEQ(ZERO_BETA_R_0) DLOADC_4V_R_FWD(26,27,28,29,x9,0,x6) DSCALEA4V(0,1,2,3,26,27,28,29,25,0) LABEL(ZERO_BETA_R_0) DSTOREC_4V_R_FWD(0,1,2,3,x5,0,x6) // Row 1 & 2: BEQ(ZERO_BETA_R_1_2) DLOADC_4V_R_FWD(26,27,28,29,x9,0,x6) DLOADC_4V_R_FWD(0,1,2,3,x9,0,x6) DSCALEA8V(4,5,6,7,8,9,10,11,26,27,28,29,0,1,2,3,25,0) LABEL(ZERO_BETA_R_1_2) DSTOREC_4V_R_FWD(4,5,6,7,x5,0,x6) DSTOREC_4V_R_FWD(8,9,10,11,x5,0,x6) // Row 3 & 4 & 5: BEQ(ZERO_BETA_R_3_4_5) DLOADC_4V_R_FWD(0,1,2,3,x9,0,x6) DLOADC_4V_R_FWD(4,5,6,7,x9,0,x6) DLOADC_4V_R_FWD(8,9,10,11,x9,0,x6) DSCALEA8V(12,13,14,15,16,17,18,19,0,1,2,3,4,5,6,7,25,0) DSCALEA4V(20,21,22,23,8,9,10,11,25,0) LABEL(ZERO_BETA_R_3_4_5) DSTOREC_4V_R_FWD(12,13,14,15,x5,0,x6) DSTOREC_4V_R_FWD(16,17,18,19,x5,0,x6) DSTOREC_4V_R_FWD(20,21,22,23,x5,0,x6) BRANCH(END_WRITE_MEM) // // Generic-strided C-storage. LABEL(WRITE_MEM_G) " fcmp d25, #0.0 \n\t" // Sets conditional flag whether *beta == 0. " \n\t" // Row 0: BEQ(ZERO_BETA_G_0) DLOADC_GATHER_4V_R_FWD(26,27,28,29,x9,x0,x7,x6) DSCALEA4V(0,1,2,3,26,27,28,29,25,0) LABEL(ZERO_BETA_G_0) DSTOREC_SCATTER_4V_R_FWD(0,1,2,3,x5,x1,x7,x6) // Row 1 & 2: BEQ(ZERO_BETA_G_1_2) DLOADC_GATHER_4V_R_FWD(26,27,28,29,x9,x0,x7,x6) DLOADC_GATHER_4V_R_FWD(0,1,2,3,x9,x0,x7,x6) DSCALEA8V(4,5,6,7,8,9,10,11,26,27,28,29,0,1,2,3,25,0) LABEL(ZERO_BETA_G_1_2) DSTOREC_SCATTER_4V_R_FWD(4,5,6,7,x5,x1,x7,x6) DSTOREC_SCATTER_4V_R_FWD(8,9,10,11,x5,x1,x7,x6) // Row 3 & 4 & 5: BEQ(ZERO_BETA_G_3_4_5) DLOADC_GATHER_4V_R_FWD(0,1,2,3,x9,x0,x7,x6) DLOADC_GATHER_4V_R_FWD(4,5,6,7,x9,x0,x7,x6) DLOADC_GATHER_4V_R_FWD(8,9,10,11,x9,x0,x7,x6) DSCALEA8V(12,13,14,15,16,17,18,19,0,1,2,3,4,5,6,7,25,0) DSCALEA4V(20,21,22,23,8,9,10,11,25,0) LABEL(ZERO_BETA_G_3_4_5) DSTOREC_SCATTER_4V_R_FWD(12,13,14,15,x5,x1,x7,x6) DSTOREC_SCATTER_4V_R_FWD(16,17,18,19,x5,x1,x7,x6) DSTOREC_SCATTER_4V_R_FWD(20,21,22,23,x5,x1,x7,x6) LABEL(END_WRITE_MEM) : : [a] "m" (a), [b] "m" (b), [c] "m" (c), [rs_c] "m" (rs_c), [cs_c] "m" (cs_c), [k_mker] "m" (k_mker), [k_left] "m" (k_left), [alpha] "m" (alpha), [beta] "m" (beta), [a_next] "m" (a_next), [b_next] "m" (b_next) : "x0","x1","x2","x3","x4","x5","x6","x7","x8","x9", "v0","v1","v2","v3","v4","v5","v6","v7", "v8","v9","v10","v11","v12","v13","v14","v15", "v16","v17","v18","v19", "v20","v21","v22","v23", "v24","v25","v26","v27", "v28","v29","v30","v31" ); }