/* * Microbenchmark for math functions. * * Copyright (c) 2018, Arm Limited. * SPDX-License-Identifier: MIT */ #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; static double dummy (double x) { return x; } static float dummyf (float x) { return x; } static double xypow (double x) { return pow (x, x); } static float xypowf (float x) { return powf (x, x); } static double xpow (double x) { return pow (x, 23.4); } static float xpowf (float x) { return powf (x, 23.4f); } static double ypow (double x) { return pow (2.34, x); } static float ypowf (float x) { return powf (2.34f, x); } static float sincosf_wrap (float x) { float s, c; sincosf (x, &s, &c); return s + c; } static const struct fun { const char *name; int prec; double lo; double hi; union { double (*d) (double); float (*f) (float); } fun; } funtab[] = { #define D(func, lo, hi) {#func, 'd', lo, hi, {.d = func}}, #define F(func, lo, hi) {#func, 'f', lo, hi, {.f = func}}, D (dummy, 1.0, 2.0) D (exp, -9.9, 9.9) D (exp, 0.5, 1.0) D (exp2, -9.9, 9.9) D (log, 0.01, 11.1) D (log, 0.999, 1.001) D (log2, 0.01, 11.1) D (log2, 0.999, 1.001) {"pow", 'd', 0.01, 11.1, {.d = xypow}}, D (xpow, 0.01, 11.1) D (ypow, -9.9, 9.9) F (dummyf, 1.0, 2.0) F (expf, -9.9, 9.9) F (exp2f, -9.9, 9.9) F (logf, 0.01, 11.1) F (log2f, 0.01, 11.1) {"powf", 'f', 0.01, 11.1, {.f = xypowf}}, F (xpowf, 0.01, 11.1) F (ypowf, -9.9, 9.9) {"sincosf", 'f', 0.1, 0.7, {.f = sincosf_wrap}}, {"sincosf", 'f', 0.8, 3.1, {.f = sincosf_wrap}}, {"sincosf", 'f', -3.1, 3.1, {.f = sincosf_wrap}}, {"sincosf", 'f', 3.3, 33.3, {.f = sincosf_wrap}}, {"sincosf", 'f', 100, 1000, {.f = sincosf_wrap}}, {"sincosf", 'f', 1e6, 1e32, {.f = sincosf_wrap}}, F (sinf, 0.1, 0.7) F (sinf, 0.8, 3.1) F (sinf, -3.1, 3.1) F (sinf, 3.3, 33.3) F (sinf, 100, 1000) F (sinf, 1e6, 1e32) F (cosf, 0.1, 0.7) F (cosf, 0.8, 3.1) F (cosf, -3.1, 3.1) F (cosf, 3.3, 33.3) F (cosf, 100, 1000) F (cosf, 1e6, 1e32) {0}, #undef F #undef D }; 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); } 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"; if (f->prec == 'd' && type == 't') TIMEIT (run_thruput, f->fun.d); else if (f->prec == 'd' && type == 'l') TIMEIT (run_latency, f->fun.d); else if (f->prec == 'f' && type == 't') TIMEIT (runf_thruput, f->fun.f); else if (f->prec == 'f' && type == 'l') TIMEIT (runf_latency, f->fun.f); ns100 = (100 * dt + itercount * N / 2) / (itercount * N); printf ("%7s %8s: %4u.%02u ns/elem %10llu ns in [%g %g]\n", f->name, s, (unsigned) (ns100 / 100), (unsigned) (ns100 % 100), (unsigned long long) dt, lo, hi); 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; }