| 1 | /* |
| 2 | * ==================================================== |
| 3 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 4 | * |
| 5 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 6 | * Permission to use, copy, modify, and distribute this |
| 7 | * software is freely granted, provided that this notice |
| 8 | * is preserved. |
| 9 | * ==================================================== |
| 10 | */ |
| 11 | |
| 12 | /* |
| 13 | * scalbn (double x, int n) |
| 14 | * scalbn(x,n) returns x* 2**n computed by exponent |
| 15 | * manipulation rather than by actually performing an |
| 16 | * exponentiation or a multiplication. |
| 17 | */ |
| 18 | |
| 19 | #include <math.h> |
| 20 | #include <math_private.h> |
| 21 | |
| 22 | static const double |
| 23 | two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */ |
| 24 | twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */ |
| 25 | huge = 1.0e+300, |
| 26 | tiny = 1.0e-300; |
| 27 | |
| 28 | double |
| 29 | __scalbln (double x, long int n) |
| 30 | { |
| 31 | int64_t ix; |
| 32 | int64_t k; |
| 33 | EXTRACT_WORDS64(ix,x); |
| 34 | k = (ix >> 52) & 0x7ff; /* extract exponent */ |
| 35 | if (__builtin_expect(k==0, 0)) { /* 0 or subnormal x */ |
| 36 | if ((ix & UINT64_C(0xfffffffffffff))==0) return x; /* +-0 */ |
| 37 | x *= two54; |
| 38 | EXTRACT_WORDS64(ix,x); |
| 39 | k = ((ix >> 52) & 0x7ff) - 54; |
| 40 | } |
| 41 | if (__builtin_expect(k==0x7ff, 0)) return x+x; /* NaN or Inf */ |
| 42 | if (__builtin_expect(n< -50000, 0)) |
| 43 | return tiny*copysign(tiny,x); /*underflow*/ |
| 44 | if (__builtin_expect(n> 50000 || k+n > 0x7fe, 0)) |
| 45 | return huge*copysign(huge,x); /* overflow */ |
| 46 | /* Now k and n are bounded we know that k = k+n does not |
| 47 | overflow. */ |
| 48 | k = k+n; |
| 49 | if (__builtin_expect(k > 0, 1)) /* normal result */ |
| 50 | {INSERT_WORDS64(x,(ix&UINT64_C(0x800fffffffffffff))|(k<<52)); |
| 51 | return x;} |
| 52 | if (k <= -54) |
| 53 | return tiny*copysign(tiny,x); /*underflow*/ |
| 54 | k += 54; /* subnormal result */ |
| 55 | INSERT_WORDS64(x,(ix&INT64_C(0x800fffffffffffff))|(k<<52)); |
| 56 | return x*twom54; |
| 57 | } |
| 58 | #ifdef NO_LONG_DOUBLE |
| 59 | strong_alias (__scalbln, __scalblnl) |
| 60 | #endif |
| 61 | |