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- /***************************************************************************
- 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;
- }
|