#include #include #include #include #ifndef _MSC_VER #include #endif #define NUM 1048576 #define FUNC gnulib_frexp #define DOUBLE double #ifdef _MSC_VER #define ISNAN _isnan #else #define ISNAN __builtin_isnan #endif #define DECL_ROUNDING #define BEGIN_ROUNDING() #define END_ROUNDING() #define L_(literal) literal DOUBLE FUNC (DOUBLE x, int *expptr) { int sign; int exponent; DECL_ROUNDING /* Test for NaN, infinity, and zero. */ if (ISNAN (x) || x + x == x) { *expptr = 0; return x; } sign = 0; if (x < 0) { x = - x; sign = -1; } BEGIN_ROUNDING (); { /* Since the exponent is an 'int', it fits in 64 bits. Therefore the loops are executed no more than 64 times. */ DOUBLE pow2[64]; /* pow2[i] = 2^2^i */ DOUBLE powh[64]; /* powh[i] = 2^-2^i */ int i; exponent = 0; if (x >= L_(1.0)) { /* A positive exponent. */ DOUBLE pow2_i; /* = pow2[i] */ DOUBLE powh_i; /* = powh[i] */ /* Invariants: pow2_i = 2^2^i, powh_i = 2^-2^i, x * 2^exponent = argument, x >= 1.0. */ for (i = 0, pow2_i = L_(2.0), powh_i = L_(0.5); ; i++, pow2_i = pow2_i * pow2_i, powh_i = powh_i * powh_i) { if (x >= pow2_i) { exponent += (1 << i); x *= powh_i; } else break; pow2[i] = pow2_i; powh[i] = powh_i; } /* Avoid making x too small, as it could become a denormalized number and thus lose precision. */ while (i > 0 && x < pow2[i - 1]) { i--; powh_i = powh[i]; } exponent += (1 << i); x *= powh_i; /* Here 2^-2^i <= x < 1.0. */ } else { /* A negative or zero exponent. */ DOUBLE pow2_i; /* = pow2[i] */ DOUBLE powh_i; /* = powh[i] */ /* Invariants: pow2_i = 2^2^i, powh_i = 2^-2^i, x * 2^exponent = argument, x < 1.0. */ for (i = 0, pow2_i = L_(2.0), powh_i = L_(0.5); ; i++, pow2_i = pow2_i * pow2_i, powh_i = powh_i * powh_i) { if (x < powh_i) { exponent -= (1 << i); x *= pow2_i; } else break; pow2[i] = pow2_i; powh[i] = powh_i; } /* Here 2^-2^i <= x < 1.0. */ } /* Invariants: x * 2^exponent = argument, and 2^-2^i <= x < 1.0. */ while (i > 0) { i--; if (x < powh[i]) { exponent -= (1 << i); x *= pow2[i]; } } /* Here 0.5 <= x < 1.0. */ } if (sign < 0) x = - x; END_ROUNDING (); *expptr = exponent; return x; } int main (int argc, char **argv) { double x, y; int yi, i; int n = NUM, use_gnulib = 0; if (argc > 1) { use_gnulib = atoi (argv[1]); if (argc > 2) n = atoi (argv[2]); } x = rand (); if (use_gnulib) { for (i = 0; i < n; i++) y = gnulib_frexp (x, &yi); } else { for (i = 0; i < n; i++) y = frexp (x, &yi); } return 0; }