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authorWilco Dijkstra <wdijkstr@arm.com>2015-06-04 13:11:43 +0100
committerWilco Dijkstra <wdijkstr@arm.com>2015-07-06 12:51:30 +0100
commita1b85e1d6c2fbd815818d50ba7060dd3771888e3 (patch)
treef05ff88caeedf3cd20fc82b3acb90653790c5ff7 /sysdeps
parent2b1d7148e3664eeb177ae2fc91bf282d75da7623 (diff)
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Remove unused file sysdeps/ieee754/support.c
Diffstat (limited to 'sysdeps')
-rw-r--r--sysdeps/ieee754/support.c520
1 files changed, 0 insertions, 520 deletions
diff --git a/sysdeps/ieee754/support.c b/sysdeps/ieee754/support.c
deleted file mode 100644
index 00476c0ed9..0000000000
--- a/sysdeps/ieee754/support.c
+++ /dev/null
@@ -1,520 +0,0 @@
-/*
- * Copyright (c) 1985, 1993
- * The Regents of the University of California. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- * 4. Neither the name of the University nor the names of its contributors
- * may be used to endorse or promote products derived from this software
- * without specific prior written permission.
- *
- * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
- * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
- * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
- * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
- * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
- * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
- * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
- * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
- * SUCH DAMAGE.
- */
-
-#ifndef lint
-static char sccsid[] = "@(#)support.c 8.1 (Berkeley) 6/4/93";
-#endif /* not lint */
-
-/*
- * Some IEEE standard 754 recommended functions and remainder and sqrt for
- * supporting the C elementary functions.
- ******************************************************************************
- * WARNING:
- * These codes are developed (in double) to support the C elementary
- * functions temporarily. They are not universal, and some of them are very
- * slow (in particular, drem and sqrt is extremely inefficient). Each
- * computer system should have its implementation of these functions using
- * its own assembler.
- ******************************************************************************
- *
- * IEEE 754 required operations:
- * drem(x,p)
- * returns x REM y = x - [x/y]*y , where [x/y] is the integer
- * nearest x/y; in half way case, choose the even one.
- * sqrt(x)
- * returns the square root of x correctly rounded according to
- * the rounding mod.
- *
- * IEEE 754 recommended functions:
- * (a) copysign(x,y)
- * returns x with the sign of y.
- * (b) scalb(x,N)
- * returns x * (2**N), for integer values N.
- * (c) logb(x)
- * returns the unbiased exponent of x, a signed integer in
- * double precision, except that logb(0) is -INF, logb(INF)
- * is +INF, and logb(NAN) is that NAN.
- * (d) finite(x)
- * returns the value TRUE if -INF < x < +INF and returns
- * FALSE otherwise.
- *
- *
- * CODED IN C BY K.C. NG, 11/25/84;
- * REVISED BY K.C. NG on 1/22/85, 2/13/85, 3/24/85.
- */
-
-#include "mathimpl.h"
-
-#if defined(vax)||defined(tahoe) /* VAX D format */
-#include <errno.h>
- static const unsigned short msign=0x7fff , mexp =0x7f80 ;
- static const short prep1=57, gap=7, bias=129 ;
- static const double novf=1.7E38, nunf=3.0E-39, zero=0.0 ;
-#else /* defined(vax)||defined(tahoe) */
- static const unsigned short msign=0x7fff, mexp =0x7ff0 ;
- static const short prep1=54, gap=4, bias=1023 ;
- static const double novf=1.7E308, nunf=3.0E-308,zero=0.0;
-#endif /* defined(vax)||defined(tahoe) */
-
-double scalb(x,N)
-double x; int N;
-{
- int k;
-
-#ifdef national
- unsigned short *px=(unsigned short *) &x + 3;
-#else /* national */
- unsigned short *px=(unsigned short *) &x;
-#endif /* national */
-
- if( x == zero ) return(x);
-
-#if defined(vax)||defined(tahoe)
- if( (k= *px & mexp ) != ~msign ) {
- if (N < -260)
- return(nunf*nunf);
- else if (N > 260) {
- return(copysign(infnan(ERANGE),x));
- }
-#else /* defined(vax)||defined(tahoe) */
- if( (k= *px & mexp ) != mexp ) {
- if( N<-2100) return(nunf*nunf); else if(N>2100) return(novf+novf);
- if( k == 0 ) {
- x *= scalb(1.0,(int)prep1); N -= prep1; return(scalb(x,N));}
-#endif /* defined(vax)||defined(tahoe) */
-
- if((k = (k>>gap)+ N) > 0 )
- if( k < (mexp>>gap) ) *px = (*px&~mexp) | (k<<gap);
- else x=novf+novf; /* overflow */
- else
- if( k > -prep1 )
- /* gradual underflow */
- {*px=(*px&~mexp)|(short)(1<<gap); x *= scalb(1.0,k-1);}
- else
- return(nunf*nunf);
- }
- return(x);
-}
-
-
-double copysign(x,y)
-double x,y;
-{
-#ifdef national
- unsigned short *px=(unsigned short *) &x+3,
- *py=(unsigned short *) &y+3;
-#else /* national */
- unsigned short *px=(unsigned short *) &x,
- *py=(unsigned short *) &y;
-#endif /* national */
-
-#if defined(vax)||defined(tahoe)
- if ( (*px & mexp) == 0 ) return(x);
-#endif /* defined(vax)||defined(tahoe) */
-
- *px = ( *px & msign ) | ( *py & ~msign );
- return(x);
-}
-
-double logb(x)
-double x;
-{
-
-#ifdef national
- short *px=(short *) &x+3, k;
-#else /* national */
- short *px=(short *) &x, k;
-#endif /* national */
-
-#if defined(vax)||defined(tahoe)
- return (int)(((*px&mexp)>>gap)-bias);
-#else /* defined(vax)||defined(tahoe) */
- if( (k= *px & mexp ) != mexp )
- if ( k != 0 )
- return ( (k>>gap) - bias );
- else if( x != zero)
- return ( -1022.0 );
- else
- return(-(1.0/zero));
- else if(x != x)
- return(x);
- else
- {*px &= msign; return(x);}
-#endif /* defined(vax)||defined(tahoe) */
-}
-
-finite(x)
-double x;
-{
-#if defined(vax)||defined(tahoe)
- return(1);
-#else /* defined(vax)||defined(tahoe) */
-#ifdef national
- return( (*((short *) &x+3 ) & mexp ) != mexp );
-#else /* national */
- return( (*((short *) &x ) & mexp ) != mexp );
-#endif /* national */
-#endif /* defined(vax)||defined(tahoe) */
-}
-
-double drem(x,p)
-double x,p;
-{
- short sign;
- double hp,dp,tmp;
- unsigned short k;
-#ifdef national
- unsigned short
- *px=(unsigned short *) &x +3,
- *pp=(unsigned short *) &p +3,
- *pd=(unsigned short *) &dp +3,
- *pt=(unsigned short *) &tmp+3;
-#else /* national */
- unsigned short
- *px=(unsigned short *) &x ,
- *pp=(unsigned short *) &p ,
- *pd=(unsigned short *) &dp ,
- *pt=(unsigned short *) &tmp;
-#endif /* national */
-
- *pp &= msign ;
-
-#if defined(vax)||defined(tahoe)
- if( ( *px & mexp ) == ~msign ) /* is x a reserved operand? */
-#else /* defined(vax)||defined(tahoe) */
- if( ( *px & mexp ) == mexp )
-#endif /* defined(vax)||defined(tahoe) */
- return (x-p)-(x-p); /* create nan if x is inf */
- if (p == zero) {
-#if defined(vax)||defined(tahoe)
- return(infnan(EDOM));
-#else /* defined(vax)||defined(tahoe) */
- return zero/zero;
-#endif /* defined(vax)||defined(tahoe) */
- }
-
-#if defined(vax)||defined(tahoe)
- if( ( *pp & mexp ) == ~msign ) /* is p a reserved operand? */
-#else /* defined(vax)||defined(tahoe) */
- if( ( *pp & mexp ) == mexp )
-#endif /* defined(vax)||defined(tahoe) */
- { if (p != p) return p; else return x;}
-
- else if ( ((*pp & mexp)>>gap) <= 1 )
- /* subnormal p, or almost subnormal p */
- { double b; b=scalb(1.0,(int)prep1);
- p *= b; x = drem(x,p); x *= b; return(drem(x,p)/b);}
- else if ( p >= novf/2)
- { p /= 2 ; x /= 2; return(drem(x,p)*2);}
- else
- {
- dp=p+p; hp=p/2;
- sign= *px & ~msign ;
- *px &= msign ;
- while ( x > dp )
- {
- k=(*px & mexp) - (*pd & mexp) ;
- tmp = dp ;
- *pt += k ;
-
-#if defined(vax)||defined(tahoe)
- if( x < tmp ) *pt -= 128 ;
-#else /* defined(vax)||defined(tahoe) */
- if( x < tmp ) *pt -= 16 ;
-#endif /* defined(vax)||defined(tahoe) */
-
- x -= tmp ;
- }
- if ( x > hp )
- { x -= p ; if ( x >= hp ) x -= p ; }
-
-#if defined(vax)||defined(tahoe)
- if (x)
-#endif /* defined(vax)||defined(tahoe) */
- *px ^= sign;
- return( x);
-
- }
-}
-
-
-double sqrt(x)
-double x;
-{
- double q,s,b,r;
- double t;
- double const zero=0.0;
- int m,n,i;
-#if defined(vax)||defined(tahoe)
- int k=54;
-#else /* defined(vax)||defined(tahoe) */
- int k=51;
-#endif /* defined(vax)||defined(tahoe) */
-
- /* sqrt(NaN) is NaN, sqrt(+-0) = +-0 */
- if(x!=x||x==zero) return(x);
-
- /* sqrt(negative) is invalid */
- if(x<zero) {
-#if defined(vax)||defined(tahoe)
- return (infnan(EDOM)); /* NaN */
-#else /* defined(vax)||defined(tahoe) */
- return(zero/zero);
-#endif /* defined(vax)||defined(tahoe) */
- }
-
- /* sqrt(INF) is INF */
- if(!finite(x)) return(x);
-
- /* scale x to [1,4) */
- n=logb(x);
- x=scalb(x,-n);
- if((m=logb(x))!=0) x=scalb(x,-m); /* subnormal number */
- m += n;
- n = m/2;
- if((n+n)!=m) {x *= 2; m -=1; n=m/2;}
-
- /* generate sqrt(x) bit by bit (accumulating in q) */
- q=1.0; s=4.0; x -= 1.0; r=1;
- for(i=1;i<=k;i++) {
- t=s+1; x *= 4; r /= 2;
- if(t<=x) {
- s=t+t+2, x -= t; q += r;}
- else
- s *= 2;
- }
-
- /* generate the last bit and determine the final rounding */
- r/=2; x *= 4;
- if(x==zero) goto end; 100+r; /* trigger inexact flag */
- if(s<x) {
- q+=r; x -=s; s += 2; s *= 2; x *= 4;
- t = (x-s)-5;
- b=1.0+3*r/4; if(b==1.0) goto end; /* b==1 : Round-to-zero */
- b=1.0+r/4; if(b>1.0) t=1; /* b>1 : Round-to-(+INF) */
- if(t>=0) q+=r; } /* else: Round-to-nearest */
- else {
- s *= 2; x *= 4;
- t = (x-s)-1;
- b=1.0+3*r/4; if(b==1.0) goto end;
- b=1.0+r/4; if(b>1.0) t=1;
- if(t>=0) q+=r; }
-
-end: return(scalb(q,n));
-}
-
-#if 0
-/* DREM(X,Y)
- * RETURN X REM Y =X-N*Y, N=[X/Y] ROUNDED (ROUNDED TO EVEN IN THE HALF WAY CASE)
- * DOUBLE PRECISION (VAX D format 56 bits, IEEE DOUBLE 53 BITS)
- * INTENDED FOR ASSEMBLY LANGUAGE
- * CODED IN C BY K.C. NG, 3/23/85, 4/8/85.
- *
- * Warning: this code should not get compiled in unless ALL of
- * the following machine-dependent routines are supplied.
- *
- * Required machine dependent functions (not on a VAX):
- * swapINX(i): save inexact flag and reset it to "i"
- * swapENI(e): save inexact enable and reset it to "e"
- */
-
-double drem(x,y)
-double x,y;
-{
-
-#ifdef national /* order of words in floating point number */
- static const n0=3,n1=2,n2=1,n3=0;
-#else /* VAX, SUN, ZILOG, TAHOE */
- static const n0=0,n1=1,n2=2,n3=3;
-#endif
-
- static const unsigned short mexp =0x7ff0, m25 =0x0190, m57 =0x0390;
- static const double zero=0.0;
- double hy,y1,t,t1;
- short k;
- long n;
- int i,e;
- unsigned short xexp,yexp, *px =(unsigned short *) &x ,
- nx,nf, *py =(unsigned short *) &y ,
- sign, *pt =(unsigned short *) &t ,
- *pt1 =(unsigned short *) &t1 ;
-
- xexp = px[n0] & mexp ; /* exponent of x */
- yexp = py[n0] & mexp ; /* exponent of y */
- sign = px[n0] &0x8000; /* sign of x */
-
-/* return NaN if x is NaN, or y is NaN, or x is INF, or y is zero */
- if(x!=x) return(x); if(y!=y) return(y); /* x or y is NaN */
- if( xexp == mexp ) return(zero/zero); /* x is INF */
- if(y==zero) return(y/y);
-
-/* save the inexact flag and inexact enable in i and e respectively
- * and reset them to zero
- */
- i=swapINX(0); e=swapENI(0);
-
-/* subnormal number */
- nx=0;
- if(yexp==0) {t=1.0,pt[n0]+=m57; y*=t; nx=m57;}
-
-/* if y is tiny (biased exponent <= 57), scale up y to y*2**57 */
- if( yexp <= m57 ) {py[n0]+=m57; nx+=m57; yexp+=m57;}
-
- nf=nx;
- py[n0] &= 0x7fff;
- px[n0] &= 0x7fff;
-
-/* mask off the least significant 27 bits of y */
- t=y; pt[n3]=0; pt[n2]&=0xf800; y1=t;
-
-/* LOOP: argument reduction on x whenever x > y */
-loop:
- while ( x > y )
- {
- t=y;
- t1=y1;
- xexp=px[n0]&mexp; /* exponent of x */
- k=xexp-yexp-m25;
- if(k>0) /* if x/y >= 2**26, scale up y so that x/y < 2**26 */
- {pt[n0]+=k;pt1[n0]+=k;}
- n=x/t; x=(x-n*t1)-n*(t-t1);
- }
- /* end while (x > y) */
-
- if(nx!=0) {t=1.0; pt[n0]+=nx; x*=t; nx=0; goto loop;}
-
-/* final adjustment */
-
- hy=y/2.0;
- if(x>hy||((x==hy)&&n%2==1)) x-=y;
- px[n0] ^= sign;
- if(nf!=0) { t=1.0; pt[n0]-=nf; x*=t;}
-
-/* restore inexact flag and inexact enable */
- swapINX(i); swapENI(e);
-
- return(x);
-}
-#endif
-
-#if 0
-/* SQRT
- * RETURN CORRECTLY ROUNDED (ACCORDING TO THE ROUNDING MODE) SQRT
- * FOR IEEE DOUBLE PRECISION ONLY, INTENDED FOR ASSEMBLY LANGUAGE
- * CODED IN C BY K.C. NG, 3/22/85.
- *
- * Warning: this code should not get compiled in unless ALL of
- * the following machine-dependent routines are supplied.
- *
- * Required machine dependent functions:
- * swapINX(i) ...return the status of INEXACT flag and reset it to "i"
- * swapRM(r) ...return the current Rounding Mode and reset it to "r"
- * swapENI(e) ...return the status of inexact enable and reset it to "e"
- * addc(t) ...perform t=t+1 regarding t as a 64 bit unsigned integer
- * subc(t) ...perform t=t-1 regarding t as a 64 bit unsigned integer
- */
-
-static const unsigned long table[] = {
-0, 1204, 3062, 5746, 9193, 13348, 18162, 23592, 29598, 36145, 43202, 50740,
-58733, 67158, 75992, 85215, 83599, 71378, 60428, 50647, 41945, 34246, 27478,
-21581, 16499, 12183, 8588, 5674, 3403, 1742, 661, 130, };
-
-double newsqrt(x)
-double x;
-{
- double y,z,t,addc(),subc()
- double const b54=134217728.*134217728.; /* b54=2**54 */
- long mx,scalx;
- long const mexp=0x7ff00000;
- int i,j,r,e,swapINX(),swapRM(),swapENI();
- unsigned long *py=(unsigned long *) &y ,
- *pt=(unsigned long *) &t ,
- *px=(unsigned long *) &x ;
-#ifdef national /* ordering of word in a floating point number */
- const int n0=1, n1=0;
-#else
- const int n0=0, n1=1;
-#endif
-/* Rounding Mode: RN ...round-to-nearest
- * RZ ...round-towards 0
- * RP ...round-towards +INF
- * RM ...round-towards -INF
- */
- const int RN=0,RZ=1,RP=2,RM=3;
- /* machine dependent: work on a Zilog Z8070
- * and a National 32081 & 16081
- */
-
-/* exceptions */
- if(x!=x||x==0.0) return(x); /* sqrt(NaN) is NaN, sqrt(+-0) = +-0 */
- if(x<0) return((x-x)/(x-x)); /* sqrt(negative) is invalid */
- if((mx=px[n0]&mexp)==mexp) return(x); /* sqrt(+INF) is +INF */
-
-/* save, reset, initialize */
- e=swapENI(0); /* ...save and reset the inexact enable */
- i=swapINX(0); /* ...save INEXACT flag */
- r=swapRM(RN); /* ...save and reset the Rounding Mode to RN */
- scalx=0;
-
-/* subnormal number, scale up x to x*2**54 */
- if(mx==0) {x *= b54 ; scalx-=0x01b00000;}
-
-/* scale x to avoid intermediate over/underflow:
- * if (x > 2**512) x=x/2**512; if (x < 2**-512) x=x*2**512 */
- if(mx>0x5ff00000) {px[n0] -= 0x20000000; scalx+= 0x10000000;}
- if(mx<0x1ff00000) {px[n0] += 0x20000000; scalx-= 0x10000000;}
-
-/* magic initial approximation to almost 8 sig. bits */
- py[n0]=(px[n0]>>1)+0x1ff80000;
- py[n0]=py[n0]-table[(py[n0]>>15)&31];
-
-/* Heron's rule once with correction to improve y to almost 18 sig. bits */
- t=x/y; y=y+t; py[n0]=py[n0]-0x00100006; py[n1]=0;
-
-/* triple to almost 56 sig. bits; now y approx. sqrt(x) to within 1 ulp */
- t=y*y; z=t; pt[n0]+=0x00100000; t+=z; z=(x-z)*y;
- t=z/(t+x) ; pt[n0]+=0x00100000; y+=t;
-
-/* twiddle last bit to force y correctly rounded */
- swapRM(RZ); /* ...set Rounding Mode to round-toward-zero */
- swapINX(0); /* ...clear INEXACT flag */
- swapENI(e); /* ...restore inexact enable status */
- t=x/y; /* ...chopped quotient, possibly inexact */
- j=swapINX(i); /* ...read and restore inexact flag */
- if(j==0) { if(t==y) goto end; else t=subc(t); } /* ...t=t-ulp */
- b54+0.1; /* ..trigger inexact flag, sqrt(x) is inexact */
- if(r==RN) t=addc(t); /* ...t=t+ulp */
- else if(r==RP) { t=addc(t);y=addc(y);}/* ...t=t+ulp;y=y+ulp; */
- y=y+t; /* ...chopped sum */
- py[n0]=py[n0]-0x00100000; /* ...correctly rounded sqrt(x) */
-end: py[n0]=py[n0]+scalx; /* ...scale back y */
- swapRM(r); /* ...restore Rounding Mode */
- return(y);
-}
-#endif