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Annotation of OpenXM_contrib/gmp/mpfr/mpfr-test.h, Revision 1.1.1.1

1.1       ohara       1: /* auxiliary functions for MPFR tests.
                      2:
                      3: Copyright 1999, 2000, 2001, 2002 Free Software Foundation, Inc.
                      4:
                      5: This file is part of the MPFR Library.
                      6:
                      7: The MPFR Library is free software; you can redistribute it and/or modify
                      8: it under the terms of the GNU Lesser General Public License as published by
                      9: the Free Software Foundation; either version 2.1 of the License, or (at your
                     10: option) any later version.
                     11:
                     12: The MPFR Library is distributed in the hope that it will be useful, but
                     13: WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
                     14: or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
                     15: License for more details.
                     16:
                     17: You should have received a copy of the GNU Lesser General Public License
                     18: along with the MPFR Library; see the file COPYING.LIB.  If not, write to
                     19: the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
                     20: MA 02111-1307, USA. */
                     21:
                     22: #if HAVE_CONFIG_H
                     23: #include "config.h"
                     24: #endif
                     25:
                     26: #include <math.h>
                     27: #ifdef __mips
                     28: #include <sys/fpu.h>
                     29: #endif
                     30:
                     31: /* set precision control to double on x86 */
                     32: #if (defined (__i386__) || defined (__i486__))
                     33: #ifdef __CYGWIN32__ /* no fpu_control.h under Cygnus */
                     34: #define _FPU_EXTENDED 0x300
                     35: #define _FPU_DOUBLE   0x200
                     36: #define _FPU_DEFAULT  0x137f
                     37: #define HAVE_SETFPUCW
                     38: #else
                     39: #ifdef HAVE_FPU_CONTROL_H
                     40: #include <fpu_control.h>
                     41: #define HAVE_SETFPUCW
                     42: #endif
                     43: #endif /* ifdef __CYGWIN32__ */
                     44: #ifndef __setfpucw
                     45: #define __setfpucw(cw) __asm__ ("fldcw %0" : : "m" (cw))
                     46: #endif /* ifndef __setfpucw */
                     47: #endif /* __i386__ */
                     48:
                     49: /* generates a random long int, a random double,
                     50:    and corresponding seed initializing */
                     51: #ifdef HAVE_LRAND48
                     52: #define LONG_RAND lrand48
                     53: #define DBL_RAND  drand48
                     54: #define SEED_RAND srand48
                     55: #else
                     56: #define LONG_RAND random
                     57: #define DBL_RAND() ((double) random() / (double) RAND_MAX)
                     58: #define SEED_RAND srandom
                     59: #endif
                     60:
                     61: #if defined (__hpux)
                     62: #define srandom srand48
                     63: #define random() (mrand48() & 0x7fffffff)
                     64: #endif
                     65:
                     66: void mpfr_test_init _PROTO ((void));
                     67: double drand _PROTO ((void));
                     68: int ulp _PROTO ((double, double));
                     69: double dbl _PROTO ((double, int));
                     70: double Ulp _PROTO ((double));
                     71:
                     72: #define MINNORM 2.2250738585072013831e-308 /* 2^(-1022), smallest normalized */
                     73: #define MAXNORM 1.7976931348623157081e308 /* 2^(1023)*(2-2^(-52)) */
                     74:
                     75: /* The MAX, MIN and ABS macros may already be defined if gmp-impl.h has
                     76:    been included. They have the same semantics as in gmp-impl.h, but the
                     77:    expressions may be slightly different. So, it's better to undefine
                     78:    them first, as required by the ISO C standard. */
                     79: #undef MAX
                     80: #undef MIN
                     81: #undef ABS
                     82: #define MAX(a, b) (((a) > (b)) ? (a) : (b))
                     83: #define MIN(a, b) (((a) < (b)) ? (a) : (b))
                     84: #define ABS(x) (((x)>0) ? (x) : -(x))
                     85:
                     86: /* initialization function for tests using the hardware floats */
                     87: void
                     88: mpfr_test_init ()
                     89: {
                     90: #ifdef __mips
                     91:   /* to get denormalized numbers on IRIX64 */
                     92:   union fpc_csr exp;
                     93:
                     94:   exp.fc_word = get_fpc_csr();
                     95:   exp.fc_struct.flush = 0;
                     96:   set_fpc_csr(exp.fc_word);
                     97: #endif
                     98:
                     99: #ifdef HAVE_SETFPUCW
                    100:   /* sets the precision to double */
                    101:   __setfpucw((_FPU_DEFAULT & (~_FPU_EXTENDED)) | _FPU_DOUBLE);
                    102: #endif
                    103: }
                    104:
                    105: /* generate a random double using the whole range of possible values,
                    106:    including denormalized numbers, NaN, infinities, ... */
                    107: double
                    108: drand (void)
                    109: {
                    110:   double d; int *i, expo;
                    111:
                    112:   i = (int*) &d;
                    113:   d = 1.0;
                    114:   if (i[0] == 0)
                    115:     expo = 1; /* little endian, exponent in i[1] */
                    116:   else
                    117:     expo = 0;
                    118:   i[0] = LONG_RAND();
                    119:   i[1] = LONG_RAND();
                    120:   while (i[expo] >= 2146435072)
                    121:     i[expo] = LONG_RAND(); /* avoids NaNs */
                    122:   if ((LONG_RAND() % 2) && !isnan (d))
                    123:     d = -d; /* generates negative numbers */
                    124:   return d;
                    125: }
                    126:
                    127: /* returns ulp(x) for x a 'normal' double-precision number */
                    128: double
                    129: Ulp (double x)
                    130: {
                    131:    double y, eps;
                    132:
                    133:    if (x < 0) x = -x;
                    134:
                    135:    y = x * 2.220446049250313080847263336181640625e-16 ; /* x / 2^52 */
                    136:
                    137:    /* as ulp(x) <= y = x/2^52 < 2*ulp(x),
                    138:    we have x + ulp(x) <= x + y <= x + 2*ulp(x),
                    139:    therefore o(x + y) = x + ulp(x) or x + 2*ulp(x) */
                    140:
                    141:    eps =  x + y;
                    142:    eps = eps - x; /* ulp(x) or 2*ulp(x) */
                    143:
                    144:    return (eps > y) ? 0.5 * eps : eps;
                    145: }
                    146:
                    147: /* returns the number of ulp's between a and b */
                    148: int
                    149: ulp (double a, double b)
                    150: {
                    151:   if (a==0.0) {
                    152:     if (b==0.0) return 0;
                    153:     else if (b<0.0) return 2147483647;
                    154:     else return -2147483647;
                    155:   }
                    156:   return (a-b)/Ulp(a);
                    157: }
                    158:
                    159: /* return double m*2^e */
                    160: double
                    161: dbl (double m, int e)
                    162: {
                    163:   if (e>=0) while (e-->0) m *= 2.0;
                    164:   else while (e++<0) m /= 2.0;
                    165:   return m;
                    166: }