| 1 | /*
|
|---|
| 2 | * ====================================================
|
|---|
| 3 | * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
|
|---|
| 4 | *
|
|---|
| 5 | * Permission to use, copy, modify, and distribute this
|
|---|
| 6 | * software is freely granted, provided that this notice
|
|---|
| 7 | * is preserved.
|
|---|
| 8 | * ====================================================
|
|---|
| 9 | */
|
|---|
| 10 |
|
|---|
| 11 | /** @addtogroup libmath
|
|---|
| 12 | * @{
|
|---|
| 13 | */
|
|---|
| 14 | /** @file scalbn mathematical function
|
|---|
| 15 | */
|
|---|
| 16 |
|
|---|
| 17 | #include <math.h>
|
|---|
| 18 | #include <stdint.h>
|
|---|
| 19 |
|
|---|
| 20 | #include "internal.h"
|
|---|
| 21 |
|
|---|
| 22 | /*
|
|---|
| 23 | * scalbn (double x, int n)
|
|---|
| 24 | * scalbn(x,n) returns x* 2**n computed by exponent
|
|---|
| 25 | * manipulation rather than by actually performing an
|
|---|
| 26 | * exponentiation or a multiplication.
|
|---|
| 27 | */
|
|---|
| 28 |
|
|---|
| 29 | static const double
|
|---|
| 30 | two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
|
|---|
| 31 | twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
|
|---|
| 32 | huge = 1.0e+300,
|
|---|
| 33 | tiny = 1.0e-300;
|
|---|
| 34 |
|
|---|
| 35 | double
|
|---|
| 36 | scalbn (double x, int n)
|
|---|
| 37 | {
|
|---|
| 38 | int32_t k,hx,lx;
|
|---|
| 39 | EXTRACT_WORDS(hx,lx,x);
|
|---|
| 40 | k = (hx&0x7ff00000)>>20; /* extract exponent */
|
|---|
| 41 | if (k==0) { /* 0 or subnormal x */
|
|---|
| 42 | if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
|
|---|
| 43 | x *= two54;
|
|---|
| 44 | GET_HIGH_WORD(hx,x);
|
|---|
| 45 | k = ((hx&0x7ff00000)>>20) - 54;
|
|---|
| 46 | if (n< -50000) return tiny*x; /*underflow*/
|
|---|
| 47 | }
|
|---|
| 48 | if (k==0x7ff) return x+x; /* NaN or Inf */
|
|---|
| 49 | k = k+n;
|
|---|
| 50 | if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
|
|---|
| 51 | if (k > 0) /* normal result */
|
|---|
| 52 | {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
|
|---|
| 53 | if (k <= -54) {
|
|---|
| 54 | if (n > 50000) /* in case integer overflow in n+k */
|
|---|
| 55 | return huge*copysign(huge,x); /*overflow*/
|
|---|
| 56 | else
|
|---|
| 57 | return tiny*copysign(tiny,x); /*underflow*/
|
|---|
| 58 | }
|
|---|
| 59 | k += 54; /* subnormal result */
|
|---|
| 60 | SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
|
|---|
| 61 | return x*twom54;
|
|---|
| 62 | }
|
|---|
| 63 |
|
|---|
| 64 | /** @}
|
|---|
| 65 | */
|
|---|