--- /dev/null
+/***************************************************************************
+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 <arm_neon.h>
+
+#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
+
+#define N "x0" /* vector length */
+#define X "x1" /* X vector address */
+#define INC_X "x2" /* X stride */
+#define J "x3" /* loop variable */
+#define K "x4" /* loop variable */
+
+#if !defined(COMPLEX)
+#define INC_SHIFT "3"
+#define SZ "8"
+#else
+#define INC_SHIFT "4"
+#define SZ "16"
+#endif
+
+#define SSQ "d0"
+#define SCALE "d1"
+#define REGZERO "d5"
+#define REGONE "d6"
+#define CUR_MAX "d7"
+#define CUR_MAXINV "d8"
+#define CUR_MAXINV_V "v8.2d"
+#define CUR_MAX_V "v8.2d"
+
+static void nrm2_compute(BLASLONG n, FLOAT *x, BLASLONG inc_x,
+ double *ssq, double *scale)
+{
+ *ssq = 0.0;
+ *scale = 0.0;
+
+ if (n <= 0) return;
+
+ __asm__ __volatile__ (
+ " mov "N", %[N_] \n"
+ " mov "X", %[X_] \n"
+ " mov "INC_X", %[INCX_] \n"
+ " fmov "SCALE", xzr \n"
+ " fmov "SSQ", #1.0 \n"
+ " cmp "N", xzr \n"
+ " ble .Lnrm2_kernel_L999 \n"
+ " cmp "INC_X", xzr \n"
+ " ble .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_F_BEGIN: \n"
+ " fmov "REGZERO", xzr \n"
+ " fmov "REGONE", #1.0 \n"
+ " lsl "INC_X", "INC_X", #"INC_SHIFT" \n"
+ " mov "J", "N" \n"
+ " cmp "J", xzr \n"
+ " beq .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_F_ZERO_SKIP: \n"
+ " ldr d4, ["X"] \n"
+ " fcmp d4, "REGZERO" \n"
+ " bne .Lnrm2_kernel_F_INIT \n"
+#if defined(COMPLEX)
+ " ldr d4, ["X", #8] \n"
+ " fcmp d4, "REGZERO" \n"
+ " bne .Lnrm2_kernel_F_INIT_I \n"
+#endif
+ " add "X", "X", "INC_X" \n"
+ " subs "J", "J", #1 \n"
+ " beq .Lnrm2_kernel_L999 \n"
+ " b .Lnrm2_kernel_F_ZERO_SKIP \n"
+
+ ".Lnrm2_kernel_F_INIT: \n"
+ " ldr d4, ["X"] \n"
+ " fabs d4, d4 \n"
+ " fmax "CUR_MAX", "SCALE", d4 \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " fdiv d4, d4, "CUR_MAX" \n"
+ " fmul d4, d4, d4 \n"
+ " fadd "SSQ", "SSQ", d4 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#if defined(COMPLEX)
+ ".Lnrm2_kernel_F_INIT_I: \n"
+ " ldr d3, ["X", #8] \n"
+ " fabs d3, d3 \n"
+ " fmax "CUR_MAX", "SCALE", d3 \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " fdiv d3, d3, "CUR_MAX" \n"
+ " fmul d3, d3, d3 \n"
+ " fadd "SSQ", "SSQ", d3 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#endif
+ " add "X", "X", "INC_X" \n"
+ " subs "J", "J", #1 \n"
+ " beq .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_F_START: \n"
+ " cmp "INC_X", #"SZ" \n"
+ " bne .Lnrm2_kernel_F1 \n"
+ " asr "K", "J", #4 \n"
+ " cmp "K", xzr \n"
+ " beq .Lnrm2_kernel_F1 \n"
+
+ ".Lnrm2_kernel_F: \n"
+ " ldp q16, q17, ["X"] \n"
+ " ldp q18, q19, ["X", #32] \n"
+ " ldp q20, q21, ["X", #64] \n"
+ " ldp q22, q23, ["X", #96] \n"
+ " add "X", "X", #128 \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"
+ " fmaxp v24.2d, v16.2d, v17.2d \n"
+ " fmaxp v25.2d, v18.2d, v19.2d \n"
+ " fmaxp v26.2d, v20.2d, v21.2d \n"
+ " fmaxp v27.2d, v22.2d, v23.2d \n"
+ " fmaxp v24.2d, v24.2d, v25.2d \n"
+ " fmaxp v26.2d, v26.2d, v27.2d \n"
+ " fmaxp v24.2d, v24.2d, v26.2d \n"
+ " fmaxp v24.2d, v24.2d, v24.2d \n"
+ " fmax "CUR_MAX", "SCALE", d24 \n"
+ " fdiv "CUR_MAXINV", "REGONE", "CUR_MAX" \n"
+ " //dup "CUR_MAX_V", v7.d[0] \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " dup "CUR_MAXINV_V", v8.d[0] \n"
+ " fmul v16.2d, v16.2d, "CUR_MAXINV_V" \n"
+ " fmul v17.2d, v17.2d, "CUR_MAXINV_V" \n"
+ " fmul v18.2d, v18.2d, "CUR_MAXINV_V" \n"
+ " fmul v19.2d, v19.2d, "CUR_MAXINV_V" \n"
+ " fmul v20.2d, v20.2d, "CUR_MAXINV_V" \n"
+ " fmul v21.2d, v21.2d, "CUR_MAXINV_V" \n"
+ " fmul v22.2d, v22.2d, "CUR_MAXINV_V" \n"
+ " fmul v23.2d, v23.2d, "CUR_MAXINV_V" \n"
+ " //fdiv v16.2d, v16.2d, "CUR_MAX_V" \n"
+ " //fdiv v17.2d, v17.2d, "CUR_MAX_V" \n"
+ " //fdiv v18.2d, v18.2d, "CUR_MAX_V" \n"
+ " //fdiv v19.2d, v19.2d, "CUR_MAX_V" \n"
+ " //fdiv v20.2d, v20.2d, "CUR_MAX_V" \n"
+ " //fdiv v21.2d, v21.2d, "CUR_MAX_V" \n"
+ " //fdiv v22.2d, v22.2d, "CUR_MAX_V" \n"
+ " //fdiv v23.2d, v23.2d, "CUR_MAX_V" \n"
+ " fmul v24.2d, v16.2d, v16.2d \n"
+ " fmul v25.2d, v17.2d, v17.2d \n"
+ " fmul v26.2d, v18.2d, v18.2d \n"
+ " fmul v27.2d, v19.2d, v19.2d \n"
+ " fmla v24.2d, v20.2d, v20.2d \n"
+ " fmla v25.2d, v21.2d, v21.2d \n"
+ " fmla v26.2d, v22.2d, v22.2d \n"
+ " fmla v27.2d, v23.2d, v23.2d \n"
+ " fadd v24.2d, v24.2d, v25.2d \n"
+ " fadd v26.2d, v26.2d, v27.2d \n"
+ " fadd v24.2d, v24.2d, v26.2d \n"
+ " faddp d24, v24.2d \n"
+ " fadd "SSQ", "SSQ", d24 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#if defined(COMPLEX)
+ " ldp q16, q17, ["X"] \n"
+ " ldp q18, q19, ["X", #32] \n"
+ " ldp q20, q21, ["X", #64] \n"
+ " ldp q22, q23, ["X", #96] \n"
+ " add "X", "X", #128 \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"
+ " fmaxp v24.2d, v16.2d, v17.2d \n"
+ " fmaxp v25.2d, v18.2d, v19.2d \n"
+ " fmaxp v26.2d, v20.2d, v21.2d \n"
+ " fmaxp v27.2d, v22.2d, v23.2d \n"
+ " fmaxp v24.2d, v24.2d, v25.2d \n"
+ " fmaxp v26.2d, v26.2d, v27.2d \n"
+ " fmaxp v24.2d, v24.2d, v26.2d \n"
+ " fmaxp v24.2d, v24.2d, v24.2d \n"
+ " fmax "CUR_MAX", "SCALE", d24 \n"
+ " fdiv "CUR_MAXINV", "REGONE", "CUR_MAX" \n"
+ " //dup "CUR_MAX_V", v7.d[0] \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " dup "CUR_MAXINV_V", v8.d[0] \n"
+ " fmul v16.2d, v16.2d, "CUR_MAXINV_V" \n"
+ " fmul v17.2d, v17.2d, "CUR_MAXINV_V" \n"
+ " fmul v18.2d, v18.2d, "CUR_MAXINV_V" \n"
+ " fmul v19.2d, v19.2d, "CUR_MAXINV_V" \n"
+ " fmul v20.2d, v20.2d, "CUR_MAXINV_V" \n"
+ " fmul v21.2d, v21.2d, "CUR_MAXINV_V" \n"
+ " fmul v22.2d, v22.2d, "CUR_MAXINV_V" \n"
+ " fmul v23.2d, v23.2d, "CUR_MAXINV_V" \n"
+ " //fdiv v16.2d, v16.2d, "CUR_MAX_V" \n"
+ " //fdiv v17.2d, v17.2d, "CUR_MAX_V" \n"
+ " //fdiv v18.2d, v18.2d, "CUR_MAX_V" \n"
+ " //fdiv v19.2d, v19.2d, "CUR_MAX_V" \n"
+ " //fdiv v20.2d, v20.2d, "CUR_MAX_V" \n"
+ " //fdiv v21.2d, v21.2d, "CUR_MAX_V" \n"
+ " //fdiv v22.2d, v22.2d, "CUR_MAX_V" \n"
+ " //fdiv v23.2d, v23.2d, "CUR_MAX_V" \n"
+ " fmul v24.2d, v16.2d, v16.2d \n"
+ " fmul v25.2d, v17.2d, v17.2d \n"
+ " fmul v26.2d, v18.2d, v18.2d \n"
+ " fmul v27.2d, v19.2d, v19.2d \n"
+ " fmla v24.2d, v20.2d, v20.2d \n"
+ " fmla v25.2d, v21.2d, v21.2d \n"
+ " fmla v26.2d, v22.2d, v22.2d \n"
+ " fmla v27.2d, v23.2d, v23.2d \n"
+ " fadd v24.2d, v24.2d, v25.2d \n"
+ " fadd v26.2d, v26.2d, v27.2d \n"
+ " fadd v24.2d, v24.2d, v26.2d \n"
+ " faddp d24, v24.2d \n"
+ " fadd "SSQ", "SSQ", d24 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#endif
+ " subs "K", "K", #1 \n"
+ " bne .Lnrm2_kernel_F \n"
+
+ ".Lnrm2_kernel_F_DONE: \n"
+ " ands "J", "J", #15 \n"
+ " beq .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_F1: \n"
+ " ldr d4, ["X"] \n"
+ " fabs d4, d4 \n"
+ " fmax "CUR_MAX", "SCALE", d4 \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " fdiv d4, d4, "CUR_MAX" \n"
+ " fmul d4, d4, d4 \n"
+ " fadd "SSQ", "SSQ", d4 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#if defined(COMPLEX)
+ " ldr d3, ["X", #8] \n"
+ " fabs d3, d3 \n"
+ " fmax "CUR_MAX", "SCALE", d3 \n"
+ " fdiv "SCALE", "SCALE", "CUR_MAX" \n"
+ " fmul "SCALE", "SCALE", "SCALE" \n"
+ " fmul "SSQ", "SSQ", "SCALE" \n"
+ " fdiv d3, d3, "CUR_MAX" \n"
+ " fmul d3, d3, d3 \n"
+ " fadd "SSQ", "SSQ", d3 \n"
+ " fmov "SCALE", "CUR_MAX" \n"
+#endif
+ " add "X", "X", "INC_X" \n"
+ " subs "J", "J", #1 \n"
+ " bne .Lnrm2_kernel_F1 \n"
+
+ ".Lnrm2_kernel_L999: \n"
+ " str "SSQ", [%[SSQ_]] \n"
+ " str "SCALE", [%[SCALE_]] \n"
+
+ :
+ : [SSQ_] "r" (ssq), //%0
+ [SCALE_] "r" (scale), //%1
+ [N_] "r" (n), //%2
+ [X_] "r" (x), //%3
+ [INCX_] "r" (inc_x) //%4
+ : "cc",
+ "memory",
+ "x0", "x1", "x2", "x3", "x4", "x5",
+ "d0", "d1", "d2", "d3", "d4", "d5", "d6", "d7"
+ );
+
+}
+
+#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)
+{
+ nrm2_compute(n, x, inc_x, result, result + 1);
+
+ return 0;
+}
+#endif
+
+FLOAT CNAME(BLASLONG n, FLOAT *x, BLASLONG inc_x)
+{
+#if defined(SMP)
+ int nthreads;
+ FLOAT dummy_alpha[2];
+#endif
+ FLOAT ssq, scale;
+
+ if (n <= 0 || inc_x <= 0) return 0.0;
+
+#if defined(SMP)
+ nthreads = num_cpu_avail(1);
+
+ if (n <= 10000)
+ nthreads = 1;
+
+ if (nthreads == 1) {
+ nrm2_compute(n, x, inc_x, &ssq, &scale);
+ } else {
+ int mode, i;
+ char result[MAX_CPU_NUMBER * sizeof(double) * 2];
+ double *ptr;
+
+#if !defined(COMPLEX)
+ mode = BLAS_DOUBLE | BLAS_REAL;
+#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 *)nrm2_thread_function, nthreads);
+
+ scale = 0.0;
+ ssq = 1.0;
+ ptr = (double *)result;
+ for (i = 0; i < nthreads; i++) {
+ FLOAT cur_scale, cur_ssq;
+
+ cur_ssq = *ptr;
+ cur_scale = *(ptr + 1);
+
+ if (cur_scale != 0) {
+ if (cur_scale > scale) {
+ scale = (scale / cur_scale);
+ ssq = ssq * scale * scale;
+ ssq += cur_ssq;
+ scale = cur_scale;
+ } else {
+ cur_scale = (cur_scale / scale);
+ cur_ssq = cur_ssq * cur_scale * cur_scale;
+ ssq += cur_ssq;
+ }
+ }
+
+ ptr = (double *)(((char *)ptr) + sizeof(double) * 2);
+ }
+ }
+#else
+ nrm2_compute(n, x, inc_x, &ssq, &scale);
+#endif
+ ssq = sqrt(ssq) * scale;
+
+ return ssq;
+}
--- /dev/null
+/***************************************************************************
+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 <arm_neon.h>
+
+#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
+
+#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 SSQ "d0"
+
+#if !defined(COMPLEX)
+#define N_DIV_SHIFT "5"
+#define N_REM_MASK "31"
+#define INC_SHIFT "3"
+#else
+#define N_DIV_SHIFT "4"
+#define N_REM_MASK "15"
+#define INC_SHIFT "4"
+#endif
+
+
+#define KERNEL_F \
+ "ldp q16, q17, ["X"] \n" \
+ "ldp q18, q19, ["X", #32] \n" \
+ "ldp q20, q21, ["X", #64] \n" \
+ "ldp q22, q23, ["X", #96] \n" \
+ "ldp q24, q25, ["X", #128] \n" \
+ "ldp q26, q27, ["X", #160] \n" \
+ "ldp q28, q29, ["X", #192] \n" \
+ "ldp q30, q31, ["X", #224] \n" \
+ "add "X", "X", #256 \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" \
+ "prfm PLDL1KEEP, ["X", #1024] \n" \
+ "prfm PLDL1KEEP, ["X", #1024+64] \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" \
+ "prfm PLDL1KEEP, ["X", #1024+128] \n" \
+ "prfm PLDL1KEEP, ["X", #1024+192] \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"
+
+
+#if !defined(COMPLEX)
+#define KERNEL_F1 \
+ "ldr "TMPF", ["X"] \n" \
+ "add "X", "X", "INC_X" \n" \
+ "fmadd "SSQ", "TMPF", "TMPF", "SSQ" \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 "SSQ", v0.2d \n"
+
+#define KERNEL_FINALIZE \
+ ""
+#else
+#define KERNEL_F1 \
+ "ldr q16, ["X"] \n" \
+ "add "X", "X", "INC_X" \n" \
+ "fmla v0.2d, v16.2d, v16.2d \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 "SSQ", v0.2d \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 "SSQ", 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 .Lnrm2_kernel_L999 \n"
+ " cmp "INC_X", xzr \n"
+ " ble .Lnrm2_kernel_L999 \n"
+ " cmp "INC_X", #1 \n"
+ " bne .Lnrm2_kernel_S_BEGIN \n"
+
+ ".Lnrm2_kernel_F_BEGIN: \n"
+ " lsl "INC_X", "INC_X", #"INC_SHIFT" \n"
+ " asr "J", "N", #"N_DIV_SHIFT" \n"
+ " cmp "J", xzr \n"
+ " beq .Lnrm2_kernel_F1 \n"
+
+ " .align 5 \n"
+ ".Lnrm2_kernel_F: \n"
+ " "KERNEL_F" \n"
+ " subs "J", "J", #1 \n"
+ " bne .Lnrm2_kernel_F \n"
+ " "KERNEL_F_FINALIZE" \n"
+
+ ".Lnrm2_kernel_F1: \n"
+ " ands "J", "N", #"N_REM_MASK" \n"
+ " ble .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_F10: \n"
+ " "KERNEL_F1" \n"
+ " subs "J", "J", #1 \n"
+ " bne .Lnrm2_kernel_F10 \n"
+ " b .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_S_BEGIN: \n"
+ " lsl "INC_X", "INC_X", #"INC_SHIFT" \n"
+ " asr "J", "N", #2 \n"
+ " cmp "J", xzr \n"
+ " ble .Lnrm2_kernel_S1 \n"
+
+ ".Lnrm2_kernel_S4: \n"
+ " "KERNEL_F1" \n"
+ " "KERNEL_F1" \n"
+ " "KERNEL_F1" \n"
+ " "KERNEL_F1" \n"
+ " subs "J", "J", #1 \n"
+ " bne .Lnrm2_kernel_S4 \n"
+
+ ".Lnrm2_kernel_S1: \n"
+ " ands "J", "N", #3 \n"
+ " ble .Lnrm2_kernel_L999 \n"
+
+ ".Lnrm2_kernel_S10: \n"
+ " "KERNEL_F1" \n"
+ " subs "J", "J", #1 \n"
+ " bne .Lnrm2_kernel_S10 \n"
+
+ ".Lnrm2_kernel_L999: \n"
+ " "KERNEL_FINALIZE" \n"
+ " str "SSQ", [%[RET_]] \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;
+
+ if (n <= 0 || inc_x <= 0) return 0.0;
+
+#if defined(SMP)
+ nthreads = num_cpu_avail(1);
+
+ if (n <= 10000)
+ nthreads = 1;
+
+ if (nthreads == 1) {
+ nrm2 = 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_DOUBLE | BLAS_REAL;
+#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 *)nrm2_thread_function, nthreads);
+
+ ptr = (double *)result;
+ for (i = 0; i < nthreads; i++) {
+ nrm2 = nrm2 + (*ptr);
+ ptr = (double *)(((char *)ptr) + sizeof(double) * 2);
+ }
+ }
+#else
+ nrm2 = nrm2_compute(n, x, inc_x);
+#endif
+ nrm2 = sqrt(nrm2);
+
+ return nrm2;
+}