/*************************************************************************** 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" #include #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 #if !defined(COMPLEX) #define N "x0" /* vector length */ #define X "x1" /* X vector address */ #define INC_X "x2" /* X stride */ #define J "x5" /* loop variable */ #define TMPF "s16" #define TMPFD "d17" #define SSQD "d0" #define N_DIV_SHIFT "6" #define N_REM_MASK "63" #define INC_SHIFT "2" #define KERNEL_F1 \ "ldr "TMPF", ["X"], #4 \n" \ "fcvt "TMPFD", "TMPF" \n" \ "fmadd "SSQD", "TMPFD", "TMPFD", "SSQD"\n" #define KERNEL_F \ KERNEL_F32 \ KERNEL_F32 #define KERNEL_F32 \ "ldur q16, ["X"] \n" \ "ldur q18, ["X", #16] \n" \ "ldur q20, ["X", #32] \n" \ "ldur q22, ["X", #48] \n" \ "ldur q24, ["X", #64] \n" \ "ldur q26, ["X", #80] \n" \ "ldur q28, ["X", #96] \n" \ "ldur q30, ["X", #112] \n" \ "add "X", "X", #128 \n" \ "fcvtl2 v17.2d, v16.4s \n" \ "fcvtl v16.2d, v16.2s \n" \ "fcvtl2 v19.2d, v18.4s \n" \ "fcvtl v18.2d, v18.2s \n" \ "fcvtl2 v21.2d, v20.4s \n" \ "fcvtl v20.2d, v20.2s \n" \ "fcvtl2 v23.2d, v22.4s \n" \ "fcvtl v22.2d, v22.2s \n" \ "fcvtl2 v25.2d, v24.4s \n" \ "fcvtl v24.2d, v24.2s \n" \ "fcvtl2 v27.2d, v26.4s \n" \ "fcvtl v26.2d, v26.2s \n" \ "fcvtl2 v29.2d, v28.4s \n" \ "fcvtl v28.2d, v28.2s \n" \ "fcvtl2 v31.2d, v30.4s \n" \ "fcvtl v30.2d, v30.2s \n" \ "fmla v0.2d, v16.2d, v16.2d \n" \ "fmla v1.2d, v17.2d, v17.2d \n" \ "fmla v2.2d, v18.2d, v18.2d \n" \ "fmla v3.2d, v19.2d, v19.2d \n" \ "fmla v4.2d, v20.2d, v20.2d \n" \ "fmla v5.2d, v21.2d, v21.2d \n" \ "fmla v6.2d, v22.2d, v22.2d \n" \ "fmla v7.2d, v23.2d, v23.2d \n" \ "fmla v0.2d, v24.2d, v24.2d \n" \ "fmla v1.2d, v25.2d, v25.2d \n" \ "fmla v2.2d, v26.2d, v26.2d \n" \ "fmla v3.2d, v27.2d, v27.2d \n" \ "fmla v4.2d, v28.2d, v28.2d \n" \ "fmla v5.2d, v29.2d, v29.2d \n" \ "fmla v6.2d, v30.2d, v30.2d \n" \ "fmla v7.2d, v31.2d, v31.2d \n" \ "prfm PLDL1KEEP, ["X", #1024] \n" \ "prfm PLDL1KEEP, ["X", #1024+64] \n" #define KERNEL_F_FINALIZE \ "fadd v0.2d, v0.2d, v1.2d \n" \ "fadd v2.2d, v2.2d, v3.2d \n" \ "fadd v4.2d, v4.2d, v5.2d \n" \ "fadd v6.2d, v6.2d, v7.2d \n" \ "fadd v0.2d, v0.2d, v2.2d \n" \ "fadd v4.2d, v4.2d, v6.2d \n" \ "fadd v0.2d, v0.2d, v4.2d \n" \ "faddp "SSQD", v0.2d \n" #define KERNEL_S1 \ "ldr "TMPF", ["X"] \n" \ "add "X", "X", "INC_X" \n" \ "fcvt "TMPFD", "TMPF" \n" \ "fmadd "SSQD", "TMPFD", "TMPFD", "SSQD"\n" #define KERNEL_FINALIZE \ "" #else #define N "x0" /* vector length */ #define X "x1" /* X vector address */ #define INC_X "x2" /* X stride */ #define J "x5" /* loop variable */ #define TMPF "d16" #define SSQD "d0" #define N_DIV_SHIFT "4" #define N_REM_MASK "15" #define INC_SHIFT "3" #define KERNEL_F1 \ "ldr "TMPF", ["X"] \n" \ "add "X", "X", #8 \n" \ "fcvtl v16.2d, v16.2s \n" \ "fmla v0.2d, v16.2d, v16.2d \n" #define KERNEL_F \ "ldur q16, ["X"] \n" \ "ldur q18, ["X", #16] \n" \ "ldur q20, ["X", #32] \n" \ "ldur q22, ["X", #48] \n" \ "ldur q24, ["X", #64] \n" \ "ldur q26, ["X", #80] \n" \ "ldur q28, ["X", #96] \n" \ "ldur q30, ["X", #112] \n" \ "add "X", "X", #128 \n" \ "fcvtl2 v17.2d, v16.4s \n" \ "fcvtl v16.2d, v16.2s \n" \ "fcvtl2 v19.2d, v18.4s \n" \ "fcvtl v18.2d, v18.2s \n" \ "fcvtl2 v21.2d, v20.4s \n" \ "fcvtl v20.2d, v20.2s \n" \ "fcvtl2 v23.2d, v22.4s \n" \ "fcvtl v22.2d, v22.2s \n" \ "fcvtl2 v25.2d, v24.4s \n" \ "fcvtl v24.2d, v24.2s \n" \ "fcvtl2 v27.2d, v26.4s \n" \ "fcvtl v26.2d, v26.2s \n" \ "fcvtl2 v29.2d, v28.4s \n" \ "fcvtl v28.2d, v28.2s \n" \ "fcvtl2 v31.2d, v30.4s \n" \ "fcvtl v30.2d, v30.2s \n" \ "fmla v0.2d, v16.2d, v16.2d \n" \ "fmla v1.2d, v17.2d, v17.2d \n" \ "fmla v2.2d, v18.2d, v18.2d \n" \ "fmla v3.2d, v19.2d, v19.2d \n" \ "fmla v4.2d, v20.2d, v20.2d \n" \ "fmla v5.2d, v21.2d, v21.2d \n" \ "fmla v6.2d, v22.2d, v22.2d \n" \ "fmla v7.2d, v23.2d, v23.2d \n" \ "fmla v0.2d, v24.2d, v24.2d \n" \ "fmla v1.2d, v25.2d, v25.2d \n" \ "fmla v2.2d, v26.2d, v26.2d \n" \ "fmla v3.2d, v27.2d, v27.2d \n" \ "fmla v4.2d, v28.2d, v28.2d \n" \ "fmla v5.2d, v29.2d, v29.2d \n" \ "fmla v6.2d, v30.2d, v30.2d \n" \ "fmla v7.2d, v31.2d, v31.2d \n" \ "prfm PLDL1KEEP, ["X", #1024] \n" \ "prfm PLDL1KEEP, ["X", #1024+64] \n" #define KERNEL_F_FINALIZE \ "fadd v0.2d, v0.2d, v1.2d \n" \ "fadd v2.2d, v2.2d, v3.2d \n" \ "fadd v4.2d, v4.2d, v5.2d \n" \ "fadd v6.2d, v6.2d, v7.2d \n" \ "fadd v0.2d, v0.2d, v2.2d \n" \ "fadd v4.2d, v4.2d, v6.2d \n" \ "fadd v0.2d, v0.2d, v4.2d \n" #define KERNEL_FINALIZE \ "faddp "SSQD", v0.2d \n" #define KERNEL_S1 \ "ldr "TMPF", ["X"] \n" \ "add "X", "X", "INC_X" \n" \ "fcvtl v16.2d, v16.2s \n" \ "fmla v0.2d, v16.2d, v16.2d \n" #endif static double nrm2_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x) { double ret = 0.0 ; if (n <= 0) return ret; __asm__ __volatile__ ( " mov "N", %[N_] \n" " mov "X", %[X_] \n" " mov "INC_X", %[INCX_] \n" " fmov "SSQD", xzr \n" " fmov d1, xzr \n" " fmov d2, xzr \n" " fmov d3, xzr \n" " fmov d4, xzr \n" " fmov d5, xzr \n" " fmov d6, xzr \n" " fmov d7, xzr \n" " cmp "N", xzr \n" " ble 9f //nrm2_kernel_L999 \n" " cmp "INC_X", xzr \n" " ble 9f //nrm2_kernel_L999 \n" " cmp "INC_X", #1 \n" " bne 5f //nrm2_kernel_S_BEGIN \n" "1: //nrm2_kernel_F_BEGIN: \n" " asr "J", "N", #"N_DIV_SHIFT" \n" " cmp "J", xzr \n" " beq 5f //nrm2_kernel_S_BEGIN \n" " .align 5 \n" "2: //nrm2_kernel_F: \n" " "KERNEL_F" \n" " subs "J", "J", #1 \n" " bne 2b //nrm2_kernel_F \n" " "KERNEL_F_FINALIZE" \n" "3: //nrm2_kernel_F1: \n" " ands "J", "N", #"N_REM_MASK" \n" " ble 9f //nrm2_kernel_L999 \n" "4: //nrm2_kernel_F10: \n" " "KERNEL_F1" \n" " subs "J", "J", #1 \n" " bne 4b //nrm2_kernel_F10 \n" " b 9f //nrm2_kernel_L999 \n" "5: //nrm2_kernel_S_BEGIN: \n" " lsl "INC_X", "INC_X", #"INC_SHIFT" \n" " asr "J", "N", #2 \n" " cmp "J", xzr \n" " ble 7f //nrm2_kernel_S1 \n" "6: //nrm2_kernel_S4: \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " "KERNEL_S1" \n" " subs "J", "J", #1 \n" " bne 6b //nrm2_kernel_S4 \n" "7: //nrm2_kernel_S1: \n" " ands "J", "N", #3 \n" " ble 9f //nrm2_kernel_L999 \n" "8: //nrm2_kernel_S10: \n" " "KERNEL_S1" \n" " subs "J", "J", #1 \n" " bne 8b //nrm2_kernel_S10 \n" "9: //nrm2_kernel_L999: \n" " "KERNEL_FINALIZE" \n" " fmov %[RET_], "SSQD" \n" : [RET_] "=r" (ret) //%0 : [N_] "r" (n), //%1 [X_] "r" (x), //%2 [INCX_] "r" (inc_x) //%3 : "cc", "memory", "x0", "x1", "x2", "x3", "x4", "x5", "d0", "d1", "d2", "d3", "d4", "d5", "d6", "d7" ); return ret; } #if defined(SMP) static int nrm2_thread_function(BLASLONG n, BLASLONG dummy0, BLASLONG dummy1, FLOAT dummy2, FLOAT *x, BLASLONG inc_x, FLOAT *dummy3, BLASLONG dummy4, FLOAT *result, BLASLONG dummy5) { *(double *)result = nrm2_compute(n, x, inc_x); return 0; } #endif FLOAT CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x) { #if defined(SMP) int nthreads; FLOAT dummy_alpha[2]; #endif FLOAT nrm2 = 0.0; double nrm2_double = 0.0; if (n <= 0 || inc_x <= 0) return 0.0; #if defined(SMP) if (n <= 10000) nthreads = 1; else nthreads = num_cpu_avail(1); if (nthreads == 1) { nrm2_double = nrm2_compute(n, x, inc_x); } else { int mode, i; char result[MAX_CPU_NUMBER * sizeof(double) * 2]; double *ptr; #if !defined(COMPLEX) mode = BLAS_SINGLE | BLAS_REAL; #else mode = BLAS_SINGLE | BLAS_COMPLEX; #endif blas_level1_thread_with_return_value(mode, n, 0, 0, &dummy_alpha, x, inc_x, NULL, 0, result, 0, ( void *)nrm2_thread_function, nthreads); ptr = (double *)result; for (i = 0; i < nthreads; i++) { nrm2_double = nrm2_double + (*ptr); ptr = (double *)(((char *)ptr) + sizeof(double) * 2); } } #else nrm2_double = nrm2_compute(n, x, inc_x); #endif nrm2 = sqrt(nrm2_double); return nrm2; }