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/* @(#)s_scalbn.c 5.1 93/09/24 */
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/* @(#)s_scalbn.c 5.1 93/09/24 */
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/*
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/*
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* ====================================================
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* software is freely granted, provided that this notice
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* is preserved.
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* is preserved.
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* ====================================================
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* ====================================================
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*/
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*/
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/*
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/*
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FUNCTION
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FUNCTION
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<<scalbn>>, <<scalbnf>>---scale by integer
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<<scalbn>>, <<scalbnf>>---scale by integer
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INDEX
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INDEX
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scalbn
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scalbn
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INDEX
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INDEX
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scalbnf
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scalbnf
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ANSI_SYNOPSIS
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ANSI_SYNOPSIS
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#include <math.h>
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#include <math.h>
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double scalbn(double <[x]>, int <[y]>);
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double scalbn(double <[x]>, int <[y]>);
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float scalbnf(float <[x]>, int <[y]>);
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float scalbnf(float <[x]>, int <[y]>);
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TRAD_SYNOPSIS
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TRAD_SYNOPSIS
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#include <math.h>
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#include <math.h>
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double scalbn(<[x]>,<[y]>)
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double scalbn(<[x]>,<[y]>)
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double <[x]>;
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double <[x]>;
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int <[y]>;
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int <[y]>;
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float scalbnf(<[x]>,<[y]>)
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float scalbnf(<[x]>,<[y]>)
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float <[x]>;
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float <[x]>;
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int <[y]>;
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int <[y]>;
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DESCRIPTION
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DESCRIPTION
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<<scalbn>> and <<scalbnf>> scale <[x]> by <[n]>, returning <[x]> times
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<<scalbn>> and <<scalbnf>> scale <[x]> by <[n]>, returning <[x]> times
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2 to the power <[n]>. The result is computed by manipulating the
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2 to the power <[n]>. The result is computed by manipulating the
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exponent, rather than by actually performing an exponentiation or
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exponent, rather than by actually performing an exponentiation or
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multiplication.
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multiplication.
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RETURNS
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RETURNS
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<[x]> times 2 to the power <[n]>.
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<[x]> times 2 to the power <[n]>.
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PORTABILITY
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PORTABILITY
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Neither <<scalbn>> nor <<scalbnf>> is required by ANSI C or by the System V
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Neither <<scalbn>> nor <<scalbnf>> is required by ANSI C or by the System V
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Interface Definition (Issue 2).
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Interface Definition (Issue 2).
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*/
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*/
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/*
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/*
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* scalbn (double x, int n)
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* scalbn (double x, int n)
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* scalbn(x,n) returns x* 2**n computed by exponent
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* scalbn(x,n) returns x* 2**n computed by exponent
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* manipulation rather than by actually performing an
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* manipulation rather than by actually performing an
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* exponentiation or a multiplication.
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* exponentiation or a multiplication.
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*/
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*/
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#include "fdlibm.h"
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#include "fdlibm.h"
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#ifndef _DOUBLE_IS_32BITS
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#ifndef _DOUBLE_IS_32BITS
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#ifdef __STDC__
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#ifdef __STDC__
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static const double
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static const double
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#else
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#else
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static double
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static double
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#endif
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#endif
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two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
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two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
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twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
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twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
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huge = 1.0e+300,
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huge = 1.0e+300,
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tiny = 1.0e-300;
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tiny = 1.0e-300;
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#ifdef __STDC__
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#ifdef __STDC__
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double scalbn (double x, int n)
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double scalbn (double x, int n)
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#else
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#else
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double scalbn (x,n)
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double scalbn (x,n)
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double x; int n;
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double x; int n;
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#endif
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#endif
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{
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{
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__int32_t k,hx,lx;
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__int32_t k,hx,lx;
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EXTRACT_WORDS(hx,lx,x);
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EXTRACT_WORDS(hx,lx,x);
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k = (hx&0x7ff00000)>>20; /* extract exponent */
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k = (hx&0x7ff00000)>>20; /* extract exponent */
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if (k==0) { /* 0 or subnormal x */
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if (k==0) { /* 0 or subnormal x */
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if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
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if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
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x *= two54;
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x *= two54;
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GET_HIGH_WORD(hx,x);
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GET_HIGH_WORD(hx,x);
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k = ((hx&0x7ff00000)>>20) - 54;
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k = ((hx&0x7ff00000)>>20) - 54;
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if (n< -50000) return tiny*x; /*underflow*/
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if (n< -50000) return tiny*x; /*underflow*/
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}
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}
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if (k==0x7ff) return x+x; /* NaN or Inf */
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if (k==0x7ff) return x+x; /* NaN or Inf */
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k = k+n;
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k = k+n;
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if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
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if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
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if (k > 0) /* normal result */
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if (k > 0) /* normal result */
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{SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
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{SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
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if (k <= -54)
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if (k <= -54)
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if (n > 50000) /* in case integer overflow in n+k */
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if (n > 50000) /* in case integer overflow in n+k */
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return huge*copysign(huge,x); /*overflow*/
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return huge*copysign(huge,x); /*overflow*/
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else return tiny*copysign(tiny,x); /*underflow*/
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else return tiny*copysign(tiny,x); /*underflow*/
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k += 54; /* subnormal result */
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k += 54; /* subnormal result */
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SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
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SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
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return x*twom54;
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return x*twom54;
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}
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}
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#endif /* _DOUBLE_IS_32BITS */
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#endif /* _DOUBLE_IS_32BITS */
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