/* * Microbenchmark for math functions. * * Copyright (c) 2018-2023, Arm Limited. * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception */ #undef _GNU_SOURCE #define _GNU_SOURCE 1 #include #include #include #include #include #include #include "mathlib.h" /* Number of measurements, best result is reported. */ #define MEASURE 60 /* Array size. */ #define N 8000 /* Iterations over the array. */ #define ITER 125 static double *Trace; static size_t trace_size; static double A[N]; static float Af[N]; static long measurecount = MEASURE; static long itercount = ITER; #ifdef __vpcs #include typedef float64x2_t v_double; #define v_double_len() 2 static inline v_double v_double_load (const double *p) { return (v_double){p[0], p[1]}; } static inline v_double v_double_dup (double x) { return (v_double){x, x}; } typedef float32x4_t v_float; #define v_float_len() 4 static inline v_float v_float_load (const float *p) { return (v_float){p[0], p[1], p[2], p[3]}; } static inline v_float v_float_dup (float x) { return (v_float){x, x, x, x}; } #else /* dummy definitions to make things compile. */ typedef double v_double; typedef float v_float; #define v_double_len(x) 1 #define v_double_load(x) (x)[0] #define v_double_dup(x) (x) #define v_float_len(x) 1 #define v_float_load(x) (x)[0] #define v_float_dup(x) (x) #endif #if WANT_SVE_MATH #include typedef svbool_t sv_bool; typedef svfloat64_t sv_double; #define sv_double_len() svcntd() static inline sv_double sv_double_load (const double *p) { svbool_t pg = svptrue_b64(); return svld1(pg, p); } static inline sv_double sv_double_dup (double x) { return svdup_n_f64(x); } typedef svfloat32_t sv_float; #define sv_float_len() svcntw() static inline sv_float sv_float_load (const float *p) { svbool_t pg = svptrue_b32(); return svld1(pg, p); } static inline sv_float sv_float_dup (float x) { return svdup_n_f32(x); } #else /* dummy definitions to make things compile. */ #define sv_double_len(x) 1 #define sv_float_len(x) 1 #endif static double dummy (double x) { return x; } static float dummyf (float x) { return x; } #ifdef __vpcs __vpcs static v_double __vn_dummy (v_double x) { return x; } __vpcs static v_float __vn_dummyf (v_float x) { return x; } #endif #if WANT_SVE_MATH static sv_double __sv_dummy (sv_double x, sv_bool pg) { return x; } static sv_float __sv_dummyf (sv_float x, sv_bool pg) { return x; } #endif #include "test/mathbench_wrappers.h" static const struct fun { const char *name; int prec; int vec; double lo; double hi; union { double (*d) (double); float (*f) (float); #ifdef __vpcs __vpcs v_double (*vnd) (v_double); __vpcs v_float (*vnf) (v_float); #endif #if WANT_SVE_MATH sv_double (*svd) (sv_double, sv_bool); sv_float (*svf) (sv_float, sv_bool); #endif } fun; } funtab[] = { #define D(func, lo, hi) {#func, 'd', 0, lo, hi, {.d = func}}, #define F(func, lo, hi) {#func, 'f', 0, lo, hi, {.f = func}}, #define VND(func, lo, hi) {#func, 'd', 'n', lo, hi, {.vnd = func}}, #define VNF(func, lo, hi) {#func, 'f', 'n', lo, hi, {.vnf = func}}, #define SVD(func, lo, hi) {#func, 'd', 's', lo, hi, {.svd = func}}, #define SVF(func, lo, hi) {#func, 'f', 's', lo, hi, {.svf = func}}, D (dummy, 1.0, 2.0) F (dummyf, 1.0, 2.0) #ifdef __vpcs VND (__vn_dummy, 1.0, 2.0) VNF (__vn_dummyf, 1.0, 2.0) #endif #if WANT_SVE_MATH SVD (__sv_dummy, 1.0, 2.0) SVF (__sv_dummyf, 1.0, 2.0) #endif #include "test/mathbench_funcs.h" {0}, #undef F #undef D #undef VNF #undef VND #undef SVF #undef SVD }; static void gen_linear (double lo, double hi) { for (int i = 0; i < N; i++) A[i] = (lo * (N - i) + hi * i) / N; } static void genf_linear (double lo, double hi) { for (int i = 0; i < N; i++) Af[i] = (float)(lo * (N - i) + hi * i) / N; } static inline double asdouble (uint64_t i) { union { uint64_t i; double f; } u = {i}; return u.f; } static uint64_t seed = 0x0123456789abcdef; static double frand (double lo, double hi) { seed = 6364136223846793005ULL * seed + 1; return lo + (hi - lo) * (asdouble (seed >> 12 | 0x3ffULL << 52) - 1.0); } static void gen_rand (double lo, double hi) { for (int i = 0; i < N; i++) A[i] = frand (lo, hi); } static void genf_rand (double lo, double hi) { for (int i = 0; i < N; i++) Af[i] = (float)frand (lo, hi); } static void gen_trace (int index) { for (int i = 0; i < N; i++) A[i] = Trace[index + i]; } static void genf_trace (int index) { for (int i = 0; i < N; i++) Af[i] = (float)Trace[index + i]; } static void run_thruput (double f (double)) { for (int i = 0; i < N; i++) f (A[i]); } static void runf_thruput (float f (float)) { for (int i = 0; i < N; i++) f (Af[i]); } volatile double zero = 0; static void run_latency (double f (double)) { double z = zero; double prev = z; for (int i = 0; i < N; i++) prev = f (A[i] + prev * z); } static void runf_latency (float f (float)) { float z = (float)zero; float prev = z; for (int i = 0; i < N; i++) prev = f (Af[i] + prev * z); } #ifdef __vpcs static void run_vn_thruput (__vpcs v_double f (v_double)) { for (int i = 0; i < N; i += v_double_len ()) f (v_double_load (A+i)); } static void runf_vn_thruput (__vpcs v_float f (v_float)) { for (int i = 0; i < N; i += v_float_len ()) f (v_float_load (Af+i)); } static void run_vn_latency (__vpcs v_double f (v_double)) { volatile uint64x2_t vsel = (uint64x2_t) { 0, 0 }; uint64x2_t sel = vsel; v_double prev = v_double_dup (0); for (int i = 0; i < N; i += v_double_len ()) prev = f (vbslq_f64 (sel, prev, v_double_load (A+i))); } static void runf_vn_latency (__vpcs v_float f (v_float)) { volatile uint32x4_t vsel = (uint32x4_t) { 0, 0, 0, 0 }; uint32x4_t sel = vsel; v_float prev = v_float_dup (0); for (int i = 0; i < N; i += v_float_len ()) prev = f (vbslq_f32 (sel, prev, v_float_load (Af+i))); } #endif #if WANT_SVE_MATH static void run_sv_thruput (sv_double f (sv_double, sv_bool)) { for (int i = 0; i < N; i += sv_double_len ()) f (sv_double_load (A+i), svptrue_b64 ()); } static void runf_sv_thruput (sv_float f (sv_float, sv_bool)) { for (int i = 0; i < N; i += sv_float_len ()) f (sv_float_load (Af+i), svptrue_b32 ()); } static void run_sv_latency (sv_double f (sv_double, sv_bool)) { volatile sv_bool vsel = svptrue_b64 (); sv_bool sel = vsel; sv_double prev = sv_double_dup (0); for (int i = 0; i < N; i += sv_double_len ()) prev = f (svsel_f64 (sel, sv_double_load (A+i), prev), svptrue_b64 ()); } static void runf_sv_latency (sv_float f (sv_float, sv_bool)) { volatile sv_bool vsel = svptrue_b32 (); sv_bool sel = vsel; sv_float prev = sv_float_dup (0); for (int i = 0; i < N; i += sv_float_len ()) prev = f (svsel_f32 (sel, sv_float_load (Af+i), prev), svptrue_b32 ()); } #endif static uint64_t tic (void) { struct timespec ts; if (clock_gettime (CLOCK_REALTIME, &ts)) abort (); return ts.tv_sec * 1000000000ULL + ts.tv_nsec; } #define TIMEIT(run, f) do { \ dt = -1; \ run (f); /* Warm up. */ \ for (int j = 0; j < measurecount; j++) \ { \ uint64_t t0 = tic (); \ for (int i = 0; i < itercount; i++) \ run (f); \ uint64_t t1 = tic (); \ if (t1 - t0 < dt) \ dt = t1 - t0; \ } \ } while (0) static void bench1 (const struct fun *f, int type, double lo, double hi) { uint64_t dt = 0; uint64_t ns100; const char *s = type == 't' ? "rthruput" : "latency"; int vlen = 1; if (f->vec == 'n') vlen = f->prec == 'd' ? v_double_len() : v_float_len(); else if (f->vec == 's') vlen = f->prec == 'd' ? sv_double_len() : sv_float_len(); if (f->prec == 'd' && type == 't' && f->vec == 0) TIMEIT (run_thruput, f->fun.d); else if (f->prec == 'd' && type == 'l' && f->vec == 0) TIMEIT (run_latency, f->fun.d); else if (f->prec == 'f' && type == 't' && f->vec == 0) TIMEIT (runf_thruput, f->fun.f); else if (f->prec == 'f' && type == 'l' && f->vec == 0) TIMEIT (runf_latency, f->fun.f); #ifdef __vpcs else if (f->prec == 'd' && type == 't' && f->vec == 'n') TIMEIT (run_vn_thruput, f->fun.vnd); else if (f->prec == 'd' && type == 'l' && f->vec == 'n') TIMEIT (run_vn_latency, f->fun.vnd); else if (f->prec == 'f' && type == 't' && f->vec == 'n') TIMEIT (runf_vn_thruput, f->fun.vnf); else if (f->prec == 'f' && type == 'l' && f->vec == 'n') TIMEIT (runf_vn_latency, f->fun.vnf); #endif #if WANT_SVE_MATH else if (f->prec == 'd' && type == 't' && f->vec == 's') TIMEIT (run_sv_thruput, f->fun.svd); else if (f->prec == 'd' && type == 'l' && f->vec == 's') TIMEIT (run_sv_latency, f->fun.svd); else if (f->prec == 'f' && type == 't' && f->vec == 's') TIMEIT (runf_sv_thruput, f->fun.svf); else if (f->prec == 'f' && type == 'l' && f->vec == 's') TIMEIT (runf_sv_latency, f->fun.svf); #endif if (type == 't') { ns100 = (100 * dt + itercount * N / 2) / (itercount * N); printf ("%9s %8s: %4u.%02u ns/elem %10llu ns in [%g %g] vlen %d\n", f->name, s, (unsigned) (ns100 / 100), (unsigned) (ns100 % 100), (unsigned long long) dt, lo, hi, vlen); } else if (type == 'l') { ns100 = (100 * dt + itercount * N / vlen / 2) / (itercount * N / vlen); printf ("%9s %8s: %4u.%02u ns/call %10llu ns in [%g %g] vlen %d\n", f->name, s, (unsigned) (ns100 / 100), (unsigned) (ns100 % 100), (unsigned long long) dt, lo, hi, vlen); } fflush (stdout); } static void bench (const struct fun *f, double lo, double hi, int type, int gen) { if (f->prec == 'd' && gen == 'r') gen_rand (lo, hi); else if (f->prec == 'd' && gen == 'l') gen_linear (lo, hi); else if (f->prec == 'd' && gen == 't') gen_trace (0); else if (f->prec == 'f' && gen == 'r') genf_rand (lo, hi); else if (f->prec == 'f' && gen == 'l') genf_linear (lo, hi); else if (f->prec == 'f' && gen == 't') genf_trace (0); if (gen == 't') hi = trace_size / N; if (type == 'b' || type == 't') bench1 (f, 't', lo, hi); if (type == 'b' || type == 'l') bench1 (f, 'l', lo, hi); for (int i = N; i < trace_size; i += N) { if (f->prec == 'd') gen_trace (i); else genf_trace (i); lo = i / N; if (type == 'b' || type == 't') bench1 (f, 't', lo, hi); if (type == 'b' || type == 'l') bench1 (f, 'l', lo, hi); } } static void readtrace (const char *name) { int n = 0; FILE *f = strcmp (name, "-") == 0 ? stdin : fopen (name, "r"); if (!f) { printf ("openning \"%s\" failed: %m\n", name); exit (1); } for (;;) { if (n >= trace_size) { trace_size += N; Trace = realloc (Trace, trace_size * sizeof (Trace[0])); if (Trace == NULL) { printf ("out of memory\n"); exit (1); } } if (fscanf (f, "%lf", Trace + n) != 1) break; n++; } if (ferror (f) || n == 0) { printf ("reading \"%s\" failed: %m\n", name); exit (1); } fclose (f); if (n % N == 0) trace_size = n; for (int i = 0; n < trace_size; n++, i++) Trace[n] = Trace[i]; } static void usage (void) { printf ("usage: ./mathbench [-g rand|linear|trace] [-t latency|thruput|both] " "[-i low high] [-f tracefile] [-m measurements] [-c iterations] func " "[func2 ..]\n"); printf ("func:\n"); printf ("%7s [run all benchmarks]\n", "all"); for (const struct fun *f = funtab; f->name; f++) printf ("%7s [low: %g high: %g]\n", f->name, f->lo, f->hi); exit (1); } int main (int argc, char *argv[]) { int usergen = 0, gen = 'r', type = 'b', all = 0; double lo = 0, hi = 0; const char *tracefile = "-"; argv++; argc--; for (;;) { if (argc <= 0) usage (); if (argv[0][0] != '-') break; else if (argc >= 3 && strcmp (argv[0], "-i") == 0) { usergen = 1; lo = strtod (argv[1], 0); hi = strtod (argv[2], 0); argv += 3; argc -= 3; } else if (argc >= 2 && strcmp (argv[0], "-m") == 0) { measurecount = strtol (argv[1], 0, 0); argv += 2; argc -= 2; } else if (argc >= 2 && strcmp (argv[0], "-c") == 0) { itercount = strtol (argv[1], 0, 0); argv += 2; argc -= 2; } else if (argc >= 2 && strcmp (argv[0], "-g") == 0) { gen = argv[1][0]; if (strchr ("rlt", gen) == 0) usage (); argv += 2; argc -= 2; } else if (argc >= 2 && strcmp (argv[0], "-f") == 0) { gen = 't'; /* -f implies -g trace. */ tracefile = argv[1]; argv += 2; argc -= 2; } else if (argc >= 2 && strcmp (argv[0], "-t") == 0) { type = argv[1][0]; if (strchr ("ltb", type) == 0) usage (); argv += 2; argc -= 2; } else usage (); } if (gen == 't') { readtrace (tracefile); lo = hi = 0; usergen = 1; } while (argc > 0) { int found = 0; all = strcmp (argv[0], "all") == 0; for (const struct fun *f = funtab; f->name; f++) if (all || strcmp (argv[0], f->name) == 0) { found = 1; if (!usergen) { lo = f->lo; hi = f->hi; } bench (f, lo, hi, type, gen); if (usergen && !all) break; } if (!found) printf ("unknown function: %s\n", argv[0]); argv++; argc--; } return 0; }