1 /* mpfr_scale2 -- multiply a double float by 2^exp 2 3 Copyright 1999-2020 Free Software Foundation, Inc. 4 Contributed by the AriC and Caramba projects, INRIA. 5 6 This file is part of the GNU MPFR Library. 7 8 The GNU MPFR Library is free software; you can redistribute it and/or modify 9 it under the terms of the GNU Lesser General Public License as published by 10 the Free Software Foundation; either version 3 of the License, or (at your 11 option) any later version. 12 13 The GNU MPFR Library is distributed in the hope that it will be useful, but 14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 16 License for more details. 17 18 You should have received a copy of the GNU Lesser General Public License 19 along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see 20 https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 21 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ 22 23 #include <float.h> /* for DBL_EPSILON */ 24 #include "mpfr-impl.h" 25 26 /* Note: we could use the ldexp function, but since we want not to depend on 27 math.h, we write our own implementation. */ 28 29 /* multiplies 1/2 <= d <= 1 by 2^exp */ 30 double 31 mpfr_scale2 (double d, int exp) 32 { 33 #if _MPFR_IEEE_FLOATS 34 { 35 union mpfr_ieee_double_extract x; 36 37 if (MPFR_UNLIKELY (d == 1.0)) 38 { 39 d = 0.5; 40 exp ++; 41 } 42 43 /* now 1/2 <= d < 1 */ 44 45 /* infinities and zeroes have already been checked */ 46 MPFR_ASSERTD (-1073 <= exp && exp <= 1025); 47 48 x.d = d; 49 if (MPFR_UNLIKELY (exp < -1021)) /* subnormal case */ 50 { 51 x.s.exp += exp + 52; 52 x.d *= DBL_EPSILON; 53 } 54 else /* normalized case */ 55 { 56 x.s.exp += exp; 57 } 58 return x.d; 59 } 60 #else /* _MPFR_IEEE_FLOATS */ 61 { 62 double factor; 63 64 /* An overflow may occurs (example: 0.5*2^1024) */ 65 if (d < 1.0) 66 { 67 d += d; 68 exp--; 69 } 70 /* Now 1.0 <= d < 2.0 */ 71 72 if (exp < 0) 73 { 74 factor = 0.5; 75 exp = -exp; 76 } 77 else 78 { 79 factor = 2.0; 80 } 81 while (exp != 0) 82 { 83 if ((exp & 1) != 0) 84 d *= factor; 85 exp >>= 1; 86 factor *= factor; 87 } 88 return d; 89 } 90 #endif /* _MPFR_IEEE_FLOATS */ 91 } 92