/*************************************************************************** Copyright (c) 2017, The OpenBLAS Project All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. 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. 3. Neither the name of the OpenBLAS project 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 OPENBLAS PROJECT 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 "common.h" #define N "x0" /* vector length */ #define X "x1" /* "X" vector address */ #define INC_X "x2" /* "X" stride */ #define INDEX "x3" /* index of max/min value */ #define Z "x4" /* vector index */ #define J "x5" /* loop variable */ #if !defined(DOUBLE) #define MAXF "s0" #define TMPF0 "s1" #define TMPF0V "v1.2s" #define TMPF1 "d4" #define TMPF1V "v4.2s" #define N_KERNEL_SIZE "32" #define SZ "8" #define N_DIV_SHIFT "5" #define N_REM_MASK "31" #define INC_SHIFT "3" #else #define MAXF "d0" #define TMPF0 "d1" #define TMPF0V "v1.2d" #define TMPF1 "q4" #define TMPF1V "v4.2d" #define N_KERNEL_SIZE "16" #define SZ "16" #define N_DIV_SHIFT "4" #define N_REM_MASK "15" #define INC_SHIFT "4" #endif /******************************************************************************/ #if !defined(DOUBLE) #define KERNEL_F \ "ldp q2, q3, ["X"] \n" \ "ldp q4, q5, ["X", #32] \n" \ "ldp q6, q7, ["X", #64] \n" \ "ldp q16, q17, ["X", #96] \n" \ "ldp q18, q19, ["X", #128] \n" \ "ldp q20, q21, ["X", #160] \n" \ "ldp q22, q23, ["X", #192] \n" \ "ldp q24, q25, ["X", #224] \n" \ "add "X", "X", #256 \n" \ "fabs v2.4s, v2.4s \n" \ "fabs v3.4s, v3.4s \n" \ "fabs v4.4s, v4.4s \n" \ "fabs v5.4s, v5.4s \n" \ "fabs v6.4s, v6.4s \n" \ "fabs v7.4s, v7.4s \n" \ "fabs v16.4s, v16.4s \n" \ "fabs v17.4s, v17.4s \n" \ "fabs v18.4s, v18.4s \n" \ "fabs v19.4s, v19.4s \n" \ "fabs v20.4s, v20.4s \n" \ "fabs v21.4s, v21.4s \n" \ "fabs v22.4s, v22.4s \n" \ "fabs v23.4s, v23.4s \n" \ "fabs v24.4s, v24.4s \n" \ "fabs v25.4s, v25.4s \n" \ "faddp v2.4s, v2.4s, v3.4s \n" \ "faddp v4.4s, v4.4s, v5.4s \n" \ "faddp v6.4s, v6.4s, v7.4s \n" \ "faddp v16.4s, v16.4s, v17.4s \n" \ "faddp v18.4s, v18.4s, v19.4s \n" \ "faddp v20.4s, v20.4s, v21.4s \n" \ "faddp v22.4s, v22.4s, v23.4s \n" \ "faddp v24.4s, v24.4s, v25.4s \n" \ "fmax v2.4s, v2.4s, v4.4s \n" \ "fmax v6.4s, v6.4s, v16.4s \n" \ "fmax v18.4s, v18.4s, v20.4s \n" \ "fmax v22.4s, v22.4s, v24.4s \n" \ "PRFM PLDL1KEEP, ["X", #1024] \n" \ "PRFM PLDL1KEEP, ["X", #1024+64] \n" \ "PRFM PLDL1KEEP, ["X", #1024+128] \n" \ "PRFM PLDL1KEEP, ["X", #1024+192] \n" \ "fmax v2.4s, v2.4s, v6.4s \n" \ "fmax v18.4s, v18.4s, v22.4s \n" \ "fmax v2.4s, v2.4s, v18.4s \n" \ "fmaxv "TMPF0", v2.4s \n" \ "fcmp "MAXF", "TMPF0" \n" \ "fcsel "MAXF", "MAXF", "TMPF0", ge \n" \ "csel "INDEX", "INDEX", "Z", ge \n" \ "add "Z", "Z", #"N_KERNEL_SIZE" \n" #else #define KERNEL_F \ "ldp q2, q3, ["X"] \n" \ "ldp q4, q5, ["X", #32] \n" \ "ldp q6, q7, ["X", #64] \n" \ "ldp q16, q17, ["X", #96] \n" \ "ldp q18, q19, ["X", #128] \n" \ "ldp q20, q21, ["X", #160] \n" \ "ldp q22, q23, ["X", #192] \n" \ "ldp q24, q25, ["X", #224] \n" \ "add "X", "X", #256 \n" \ "fabs v2.2d, v2.2d \n" \ "fabs v3.2d, v3.2d \n" \ "fabs v4.2d, v4.2d \n" \ "fabs v5.2d, v5.2d \n" \ "fabs v6.2d, v6.2d \n" \ "fabs v7.2d, v7.2d \n" \ "fabs v16.2d, v16.2d \n" \ "fabs v17.2d, v17.2d \n" \ "fabs v18.2d, v18.2d \n" \ "fabs v19.2d, v19.2d \n" \ "fabs v20.2d, v20.2d \n" \ "fabs v21.2d, v21.2d \n" \ "fabs v22.2d, v22.2d \n" \ "fabs v23.2d, v23.2d \n" \ "fabs v24.2d, v24.2d \n" \ "fabs v25.2d, v25.2d \n" \ "faddp v2.2d, v2.2d, v3.2d \n" \ "faddp v4.2d, v4.2d, v5.2d \n" \ "faddp v6.2d, v6.2d, v7.2d \n" \ "faddp v16.2d, v16.2d, v17.2d \n" \ "faddp v18.2d, v18.2d, v19.2d \n" \ "faddp v20.2d, v20.2d, v21.2d \n" \ "faddp v22.2d, v22.2d, v23.2d \n" \ "faddp v24.2d, v24.2d, v25.2d \n" \ "fmax v2.2d, v2.2d, v4.2d \n" \ "fmax v6.2d, v6.2d, v16.2d \n" \ "fmax v18.2d, v18.2d, v20.2d \n" \ "fmax v22.2d, v22.2d, v24.2d \n" \ "PRFM PLDL1KEEP, ["X", #1024] \n" \ "PRFM PLDL1KEEP, ["X", #1024+64] \n" \ "PRFM PLDL1KEEP, ["X", #1024+128] \n" \ "PRFM PLDL1KEEP, ["X", #1024+192] \n" \ "fmax v2.2d, v2.2d, v6.2d \n" \ "fmax v18.2d, v18.2d, v22.2d \n" \ "fmax v2.2d, v2.2d, v18.2d \n" \ "ins v3.d[0], v2.d[1] \n" \ "fmax "TMPF0", d3, d2 \n" \ "fcmp "MAXF", "TMPF0" \n" \ "fcsel "MAXF", "MAXF", "TMPF0", ge \n" \ "csel "INDEX", "INDEX", "Z", ge \n" \ "add "Z", "Z", #"N_KERNEL_SIZE" \n" #endif #define KERNEL_F_FINALIZE \ "sub x6, "INDEX", #1 \n" \ "lsl x6, x6, #"INC_SHIFT" \n" \ "add x7, x7, x6 \n" \ "mov x6, #0 \n" \ "1: \n" \ "add x6, x6, #1 \n" \ "cmp x6, #"N_KERNEL_SIZE" \n" \ "bge 2f \n" \ "ldr "TMPF1", [x7] \n" \ "fabs "TMPF1V", "TMPF1V" \n" \ "faddp "TMPF0V", "TMPF1V", "TMPF1V" \n" \ "fcmp "MAXF", "TMPF0" \n" \ "add x7, x7, #"SZ" \n" \ "bne 1b \n" \ "2: \n" \ "sub x6, x6, #1 \n" \ "add "INDEX", "INDEX", x6 \n" #define INIT \ "lsl "INC_X", "INC_X", #"INC_SHIFT" \n" \ "ldr "TMPF1", ["X"] \n" \ "fabs "TMPF1V", "TMPF1V" \n" \ "faddp "TMPF0V", "TMPF1V", "TMPF1V" \n" \ "fmov "MAXF" , "TMPF0" \n" \ "add "X", "X", "INC_X" \n" \ "mov "Z", #1 \n" \ "mov "INDEX", "Z" \n" \ "fabs "MAXF", "MAXF" \n" #define KERNEL_S1 \ "ldr "TMPF1", ["X"] \n" \ "add "X", "X", "INC_X" \n" \ "add "Z", "Z", #1 \n" \ "fabs "TMPF1V", "TMPF1V" \n" \ "faddp "TMPF0V", "TMPF1V", "TMPF1V" \n" \ "fcmp "MAXF", "TMPF0" \n" \ "fcsel "MAXF", "MAXF", "TMPF0", ge \n" \ "csel "INDEX", "INDEX", "Z", ge \n" #if defined(SMP) extern int blas_level1_thread_with_return_value(int mode, BLASLONG m, BLASLONG n, BLASLONG k, void *alpha, void *a, BLASLONG lda, void *b, BLASLONG ldb, void *c, BLASLONG ldc, int (*function)(), int nthreads); #endif static BLASLONG izamax_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x) { BLASLONG index = 0; if ( n < 0 ) return index; __asm__ __volatile__ ( " mov "N", %[N_] \n" " mov "X", %[X_] \n" " mov "INC_X", %[INCX_] \n" " cmp "N", xzr \n" " ble 10f //izamax_kernel_zero \n" " cmp "INC_X", xzr \n" " ble 10f //izamax_kernel_zero \n" " cmp "INC_X", #1 \n" " bne 5f //izamax_kernel_S_BEGIN \n" " mov x7, "X" \n" "1: //izamax_kernel_F_BEGIN: \n" " "INIT" \n" " subs "N", "N", #1 \n" " ble 9f //izamax_kernel_L999 \n" " asr "J", "N", #"N_DIV_SHIFT" \n" " cmp "J", xzr \n" " beq 3f //izamax_kernel_F1 \n" " add "Z", "Z", #1 \n" "2: //izamax_kernel_F: \n" " "KERNEL_F" \n" " subs "J", "J", #1 \n" " bne 2b //izamax_kernel_F \n" " "KERNEL_F_FINALIZE" \n" " sub "Z", "Z", #1 \n" "3: //izamax_kernel_F1: \n" " ands "J", "N", #"N_REM_MASK" \n" " ble 9f //izamax_kernel_L999 \n" "4: //izamax_kernel_F10: \n" " "KERNEL_S1" \n" " subs "J", "J", #1 \n" " bne 4b //izamax_kernel_F10 \n" " b 9f //izamax_kernel_L999 \n" "5: //izamax_kernel_S_BEGIN: \n" " "INIT" \n" " subs "N", "N", #1 \n" " ble 9f //izamax_kernel_L999 \n" " asr "J", "N", #2 \n" " cmp "J", xzr \n" " ble 7f //izamax_kernel_S1 \n" "6: //izamax_kernel_S4: \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " subs "J", "J", #1 \n" " bne 6b //izamax_kernel_S4 \n" "7: //izamax_kernel_S1: \n" " ands "J", "N", #3 \n" " ble 9f //izamax_kernel_L999 \n" "8: //izamax_kernel_S10: \n" " "KERNEL_S1" \n" " subs "J", "J", #1 \n" " bne 8b //izamax_kernel_S10 \n" "9: //izamax_kernel_L999: \n" " mov x0, "INDEX" \n" " b 11f //izamax_kernel_DONE \n" "10: //izamax_kernel_zero: \n" " mov x0, xzr \n" "11: //izamax_kernel_DONE: \n" " mov %[INDEX_], "INDEX" \n" : [INDEX_] "=r" (index) //%0 : [N_] "r" (n), //%1 [X_] "r" (x), //%2 [INCX_] "r" (inc_x) //%3 : "cc", "memory", "x0", "x1", "x2", "x3", "x4", "x5", "x6", "x7", "d0", "d1", "d2", "d3", "d4", "d5", "d6", "d7" ); return index; } #if defined(SMP) static int izamax_thread_function(BLASLONG n, BLASLONG dummy0, BLASLONG dummy1, FLOAT dummy2, FLOAT *x, BLASLONG inc_x, FLOAT *y, BLASLONG inc_y, FLOAT *result, BLASLONG dummy3) { *(BLASLONG *)result = izamax_compute(n, x, inc_x); return 0; } #endif BLASLONG CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x) { #if defined(SMP) int nthreads; FLOAT dummy_alpha[2]; #endif BLASLONG max_index = 0; #if defined(SMP) if (inc_x == 0 || n <= 10000) nthreads = 1; else nthreads = num_cpu_avail(1); if (nthreads == 1) { max_index = izamax_compute(n, x, inc_x); } else { BLASLONG i, width, cur_index; int num_cpu; int mode; char result[MAX_CPU_NUMBER * sizeof(double) * 2]; FLOAT max = -1.0; #if !defined(DOUBLE) mode = BLAS_SINGLE | BLAS_COMPLEX; #else mode = BLAS_DOUBLE | BLAS_COMPLEX; #endif blas_level1_thread_with_return_value(mode, n, 0, 0, &dummy_alpha, x, inc_x, NULL, 0, result, 0, ( void *)izamax_thread_function, nthreads); num_cpu = 0; i = n; cur_index = 0; while (i > 0) { FLOAT elem_r, elem_i; BLASLONG cur_max_index; cur_max_index = *(BLASLONG *)&result[num_cpu * sizeof(double) * 2]; elem_r = x[((cur_index + cur_max_index - 1) * inc_x * 2) + 0]; elem_i = x[((cur_index + cur_max_index - 1) * inc_x * 2) + 1]; elem_r = fabs(elem_r) + fabs(elem_i); if (elem_r >= max) { max = elem_r; max_index = cur_index + cur_max_index; } width = blas_quickdivide(i + nthreads - num_cpu - 1, nthreads - num_cpu); i -= width; cur_index += width; num_cpu ++; } } #else max_index = izamax_compute(n, x, inc_x); #endif return max_index; }