/* Tune various threshold of MPFR Copyright 2005, 2006, 2007, 2008, 2009 Free Software Foundation, Inc. Contributed by the Arenaire and Cacao projects, INRIA. This file is part of the GNU MPFR Library. The GNU MPFR Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. The GNU MPFR Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MPFR Library; see the file COPYING.LIB. If not, see http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #define MPFR_NEED_LONGLONG_H #include "mpfr-impl.h" /* extracted from mulders.c */ #ifdef MPFR_MULHIGH_TAB_SIZE static short mulhigh_ktab[MPFR_MULHIGH_TAB_SIZE]; #else static short mulhigh_ktab[] = {MPFR_MULHIGH_TAB}; #define MPFR_MULHIGH_TAB_SIZE \ ((mp_size_t) (sizeof(mulhigh_ktab) / sizeof(mulhigh_ktab[0]))) #endif #undef _PROTO #define _PROTO __GMP_PROTO #include "speed.h" int verbose; /* s->size: precision of both input and output s->xp : Mantissa of first input s->yp : mantissa of second input */ #define SPEED_MPFR_FUNC(mean_fun) do { \ unsigned i; \ mp_ptr wp; \ double t; \ mpfr_t w, x; \ mp_size_t size; \ MPFR_TMP_DECL (marker); \ \ SPEED_RESTRICT_COND (s->size >= MPFR_PREC_MIN); \ SPEED_RESTRICT_COND (s->size <= MPFR_PREC_MAX); \ MPFR_TMP_MARK (marker); \ \ size = (s->size-1)/BITS_PER_MP_LIMB+1; \ s->xp[size-1] |= MPFR_LIMB_HIGHBIT; \ MPFR_TMP_INIT1 (s->xp, x, s->size); \ MPFR_SET_EXP (x, 0); \ \ MPFR_TMP_INIT (wp, w, s->size, size); \ \ speed_operand_src (s, s->xp, size); \ speed_operand_dst (s, wp, size); \ speed_cache_fill (s); \ \ speed_starttime (); \ i = s->reps; \ do \ mean_fun (w, x, MPFR_RNDN); \ while (--i != 0); \ t = speed_endtime (); \ \ MPFR_TMP_FREE (marker); \ return t; \ } while (0) #define SPEED_MPFR_OP(mean_fun) do { \ unsigned i; \ mp_ptr wp; \ double t; \ mpfr_t w, x, y; \ mp_size_t size; \ MPFR_TMP_DECL (marker); \ \ SPEED_RESTRICT_COND (s->size >= MPFR_PREC_MIN); \ SPEED_RESTRICT_COND (s->size <= MPFR_PREC_MAX); \ MPFR_TMP_MARK (marker); \ \ size = (s->size-1)/BITS_PER_MP_LIMB+1; \ s->xp[size-1] |= MPFR_LIMB_HIGHBIT; \ MPFR_TMP_INIT1 (s->xp, x, s->size); \ MPFR_SET_EXP (x, 0); \ s->yp[size-1] |= MPFR_LIMB_HIGHBIT; \ MPFR_TMP_INIT1 (s->yp, y, s->size); \ MPFR_SET_EXP (y, 0); \ \ MPFR_TMP_INIT (wp, w, s->size, size); \ \ speed_operand_src (s, s->xp, size); \ speed_operand_src (s, s->yp, size); \ speed_operand_dst (s, wp, size); \ speed_cache_fill (s); \ \ speed_starttime (); \ i = s->reps; \ do \ mean_fun (w, x, y, MPFR_RNDN); \ while (--i != 0); \ t = speed_endtime (); \ \ MPFR_TMP_FREE (marker); \ return t; \ } while (0) /* First we include all the functions we want to tune inside this program. We can't use GNU MPFR library since the THRESHOLD can't vary */ /* Setup mpfr_mul */ mp_prec_t mpfr_mul_threshold = MPFR_MUL_THRESHOLD; static double speed_mpfr_mul (struct speed_params *s) { SPEED_MPFR_OP (mpfr_mul); } /************************************************ * Common functions (inspired by GMP function) * ************************************************/ #define THRESHOLD_WINDOW 16 #define THRESHOLD_FINAL_WINDOW 128 static double domeasure (mp_prec_t *threshold, double (*func) (struct speed_params *), mp_prec_t p) { struct speed_params s; mp_size_t size; double t; s.align_xp = s.align_yp = s.align_wp = 64; s.size = p; size = (p - 1)/BITS_PER_MP_LIMB+1; s.xp = malloc (2*size*sizeof (mp_limb_t)); if (s.xp == NULL) { fprintf (stderr, "Can't allocate memory.\n"); abort (); } mpn_random (s.xp, size); s.yp = s.xp + size; mpn_random (s.yp, size); t = speed_measure (func, &s); if (t == -1.0) { fprintf (stderr, "Failed to measure function!\n"); abort (); } free (s.xp); return t; } /* Tune a function with a simple THRESHOLD The function doesn't depend on another threshold. It assumes that it uses algo1 if p < THRESHOLD and algo2 otherwise. if algo2 is better for low prec, and algo1 better for high prec, the behaviour of this function is undefined. */ static void tune_simple_func (mp_prec_t *threshold, double (*func) (struct speed_params *), mp_prec_t pstart, mp_prec_t pend) { double measure; mp_prec_t p = pstart; mp_size_t k, n; while (p <= pend) { measure = domeasure (threshold, func, p); printf ("prec=%lu mpfr_mul=%e ", p, measure); n = 1 + (p - 1) / BITS_PER_MP_LIMB; if (n <= MPFR_MUL_THRESHOLD) k = MUL_FFT_THRESHOLD + 1; else if (n < MPFR_MULHIGH_TAB_SIZE) k = mulhigh_ktab[n]; else k = 2*n/3; if (k < 0) printf ("[mpn_mul_basecase]\n"); else if (k == 0) printf ("[mpfr_mulhigh_n_basecase]\n"); else if (k > MUL_FFT_THRESHOLD) printf ("[mpn_mul_n]\n"); else printf ("[mpfr_mulhigh_n]\n"); p = p + p / 10; } } /******************************************************* * Tune all the threshold of MPFR * * Warning: tune the function in their dependent order!* *******************************************************/ static void all (void) { FILE *f = stdout; time_t start_time, end_time; struct tm *tp; speed_time_init (); if (verbose) { printf ("Using: %s\n", speed_time_string); printf ("speed_precision %d", speed_precision); if (speed_unittime == 1.0) printf (", speed_unittime 1 cycle"); else printf (", speed_unittime %.2e secs", speed_unittime); if (speed_cycletime == 1.0 || speed_cycletime == 0.0) printf (", CPU freq unknown\n"); else printf (", CPU freq %.2f MHz\n\n", 1e-6/speed_cycletime); } time (&start_time); tp = localtime (&start_time); fprintf (f, "/* Generated by MPFR's tuneup.c, %d-%02d-%02d, ", tp->tm_year+1900, tp->tm_mon+1, tp->tm_mday); #ifdef __ICC fprintf (f, "icc %d.%d.%d */\n", __ICC / 100, __ICC / 10 % 10, __ICC % 10); #elif defined(__GNUC__) fprintf (f, "gcc %d.%d */\n", __GNUC__, __GNUC_MINOR__); #elif defined (__SUNPRO_C) fprintf (f, "Sun C %d.%d */\n", __SUNPRO_C / 0x100, __SUNPRO_C % 0x100); #elif defined (__sgi) && defined (_COMPILER_VERSION) fprintf (f, "MIPSpro C %d.%d.%d */\n", _COMPILER_VERSION / 100, _COMPILER_VERSION / 10 % 10, _COMPILER_VERSION % 10); #elif defined (__DECC) && defined (__DECC_VER) fprintf (f, "DEC C %d */\n", __DECC_VER); #else fprintf (f, "system compiler */\n"); #endif fprintf (f, "\n"); /* Tune mpfr_mul (threshold is in limbs, but it doesn't matter too much) */ if (verbose) printf ("Measuring mpfr_mul with mpfr_mul_threshold=%lu...\n", mpfr_mul_threshold); tune_simple_func (&mpfr_mul_threshold, speed_mpfr_mul, 2*BITS_PER_MP_LIMB+1, 1000); /* End of tuning */ time (&end_time); if (verbose) printf ("Complete (took %ld seconds).\n", end_time - start_time); } /* Main function */ int main (int argc, char *argv[]) { /* Unbuffered so if output is redirected to a file it isn't lost if the program is killed part way through. */ setbuf (stdout, NULL); setbuf (stderr, NULL); verbose = argc > 1; if (verbose) printf ("Tuning MPFR (Coffee time?)...\n"); all (); return 0; }