/* auxiliary functions for MPFR tests. Copyright 1999, 2000, 2001, 2002 Free Software Foundation, Inc. This file is part of the MPFR Library. The 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 2.1 of the License, or (at your option) any later version. The 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 MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #if HAVE_CONFIG_H #include "config.h" #endif #include #ifdef __mips #include #endif /* set precision control to double on x86 */ #if (defined (__i386__) || defined (__i486__)) #ifdef __CYGWIN32__ /* no fpu_control.h under Cygnus */ #define _FPU_EXTENDED 0x300 #define _FPU_DOUBLE 0x200 #define _FPU_DEFAULT 0x137f #define HAVE_SETFPUCW #else #ifdef HAVE_FPU_CONTROL_H #include #define HAVE_SETFPUCW #endif #endif /* ifdef __CYGWIN32__ */ #ifndef __setfpucw #define __setfpucw(cw) __asm__ ("fldcw %0" : : "m" (cw)) #endif /* ifndef __setfpucw */ #endif /* __i386__ */ /* generates a random long int, a random double, and corresponding seed initializing */ #ifdef HAVE_LRAND48 #define LONG_RAND lrand48 #define DBL_RAND drand48 #define SEED_RAND srand48 #else #define LONG_RAND random #define DBL_RAND() ((double) random() / (double) RAND_MAX) #define SEED_RAND srandom #endif #if defined (__hpux) #define srandom srand48 #define random() (mrand48() & 0x7fffffff) #endif void mpfr_test_init _PROTO ((void)); double drand _PROTO ((void)); int ulp _PROTO ((double, double)); double dbl _PROTO ((double, int)); double Ulp _PROTO ((double)); #define MINNORM 2.2250738585072013831e-308 /* 2^(-1022), smallest normalized */ #define MAXNORM 1.7976931348623157081e308 /* 2^(1023)*(2-2^(-52)) */ /* The MAX, MIN and ABS macros may already be defined if gmp-impl.h has been included. They have the same semantics as in gmp-impl.h, but the expressions may be slightly different. So, it's better to undefine them first, as required by the ISO C standard. */ #undef MAX #undef MIN #undef ABS #define MAX(a, b) (((a) > (b)) ? (a) : (b)) #define MIN(a, b) (((a) < (b)) ? (a) : (b)) #define ABS(x) (((x)>0) ? (x) : -(x)) /* initialization function for tests using the hardware floats */ void mpfr_test_init () { #ifdef __mips /* to get denormalized numbers on IRIX64 */ union fpc_csr exp; exp.fc_word = get_fpc_csr(); exp.fc_struct.flush = 0; set_fpc_csr(exp.fc_word); #endif #ifdef HAVE_SETFPUCW /* sets the precision to double */ __setfpucw((_FPU_DEFAULT & (~_FPU_EXTENDED)) | _FPU_DOUBLE); #endif } /* generate a random double using the whole range of possible values, including denormalized numbers, NaN, infinities, ... */ double drand (void) { double d; int *i, expo; i = (int*) &d; d = 1.0; if (i[0] == 0) expo = 1; /* little endian, exponent in i[1] */ else expo = 0; i[0] = LONG_RAND(); i[1] = LONG_RAND(); while (i[expo] >= 2146435072) i[expo] = LONG_RAND(); /* avoids NaNs */ if ((LONG_RAND() % 2) && !isnan (d)) d = -d; /* generates negative numbers */ return d; } /* returns ulp(x) for x a 'normal' double-precision number */ double Ulp (double x) { double y, eps; if (x < 0) x = -x; y = x * 2.220446049250313080847263336181640625e-16 ; /* x / 2^52 */ /* as ulp(x) <= y = x/2^52 < 2*ulp(x), we have x + ulp(x) <= x + y <= x + 2*ulp(x), therefore o(x + y) = x + ulp(x) or x + 2*ulp(x) */ eps = x + y; eps = eps - x; /* ulp(x) or 2*ulp(x) */ return (eps > y) ? 0.5 * eps : eps; } /* returns the number of ulp's between a and b */ int ulp (double a, double b) { if (a==0.0) { if (b==0.0) return 0; else if (b<0.0) return 2147483647; else return -2147483647; } return (a-b)/Ulp(a); } /* return double m*2^e */ double dbl (double m, int e) { if (e>=0) while (e-->0) m *= 2.0; else while (e++<0) m /= 2.0; return m; }