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author | Mark Wielaard <mark@gcc.gnu.org> | 2006-03-10 21:46:48 +0000 |
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committer | Mark Wielaard <mark@gcc.gnu.org> | 2006-03-10 21:46:48 +0000 |
commit | 8aa540d2f783474d1d2e06f16744bf67b9c1facc (patch) | |
tree | ea38c56431c5d4528fb54254c3f8e50f517bede3 /libjava/classpath/native/fdlibm/e_exp.c | |
parent | 27079765d00123f8e53d0e1ef7f9d46559266e6d (diff) | |
download | gcc-8aa540d2f783474d1d2e06f16744bf67b9c1facc.zip gcc-8aa540d2f783474d1d2e06f16744bf67b9c1facc.tar.gz gcc-8aa540d2f783474d1d2e06f16744bf67b9c1facc.tar.bz2 |
Imported GNU Classpath 0.90
Imported GNU Classpath 0.90
* scripts/makemake.tcl: Set gnu/java/awt/peer/swing to ignore.
* gnu/classpath/jdwp/VMFrame.java (SIZE): New constant.
* java/lang/VMCompiler.java: Use gnu.java.security.hash.MD5.
* java/lang/Math.java: New override file.
* java/lang/Character.java: Merged from Classpath.
(start, end): Now 'int's.
(canonicalName): New field.
(CANONICAL_NAME, NO_SPACES_NAME, CONSTANT_NAME): New constants.
(UnicodeBlock): Added argument.
(of): New overload.
(forName): New method.
Updated unicode blocks.
(sets): Updated.
* sources.am: Regenerated.
* Makefile.in: Likewise.
From-SVN: r111942
Diffstat (limited to 'libjava/classpath/native/fdlibm/e_exp.c')
-rw-r--r-- | libjava/classpath/native/fdlibm/e_exp.c | 54 |
1 files changed, 26 insertions, 28 deletions
diff --git a/libjava/classpath/native/fdlibm/e_exp.c b/libjava/classpath/native/fdlibm/e_exp.c index ad37f86..985150a 100644 --- a/libjava/classpath/native/fdlibm/e_exp.c +++ b/libjava/classpath/native/fdlibm/e_exp.c @@ -1,12 +1,11 @@ -/* @(#)e_exp.c 5.1 93/09/24 */ +/* @(#)e_exp.c 1.6 04/04/22 */ /* * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. + * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. * - * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice + * software is freely granted, provided that this notice * is preserved. * ==================================================== */ @@ -19,36 +18,36 @@ * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658. * Given x, find r and integer k such that * - * x = k*ln2 + r, |r| <= 0.5*ln2. + * x = k*ln2 + r, |r| <= 0.5*ln2. * - * Here r will be represented as r = hi-lo for better + * Here r will be represented as r = hi-lo for better * accuracy. * * 2. Approximation of exp(r) by a special rational function on * the interval [0,0.34658]: * Write * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ... - * We use a special Reme algorithm on [0,0.34658] to generate - * a polynomial of degree 5 to approximate R. The maximum error + * We use a special Remes algorithm on [0,0.34658] to generate + * a polynomial of degree 5 to approximate R. The maximum error * of this polynomial approximation is bounded by 2**-59. In * other words, * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5 * (where z=r*r, and the values of P1 to P5 are listed below) * and * | 5 | -59 - * | 2.0+P1*z+...+P5*z - R(z) | <= 2 + * | 2.0+P1*z+...+P5*z - R(z) | <= 2 * | | * The computation of exp(r) thus becomes * 2*r * exp(r) = 1 + ------- * R - r - * r*R1(r) + * r*R1(r) * = 1 + r + ----------- (for better accuracy) * 2 - R1(r) * where * 2 4 10 * R1(r) = r - (P1*r + P2*r + ... + P5*r ). - * + * * 3. Scale back to obtain exp(x): * From step 1, we have * exp(x) = 2^k * exp(r) @@ -63,13 +62,13 @@ * 1 ulp (unit in the last place). * * Misc. info. - * For IEEE double + * For IEEE double * if x > 7.09782712893383973096e+02 then exp(x) overflow * if x < -7.45133219101941108420e+02 then exp(x) underflow * * Constants: - * The hexadecimal values are the intended ones for the following - * constants. The decimal values may be used, provided that the + * The hexadecimal values are the intended ones for the following + * constants. The decimal values may be used, provided that the * compiler will convert from decimal to binary accurately enough * to produce the hexadecimal values shown. */ @@ -108,11 +107,11 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ double x; #endif { - double y,hi = 0., lo = 0.,c,t; - int32_t k = 0, xsb; + double y,hi,lo,c,t; + int32_t k,xsb; uint32_t hx; - GET_HIGH_WORD(hx,x); + GET_HIGH_WORD(hx,x); /* high word of x */ xsb = (hx>>31)&1; /* sign bit of x */ hx &= 0x7fffffff; /* high word of |x| */ @@ -120,8 +119,8 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ if(hx >= 0x40862E42) { /* if |x|>=709.78... */ if(hx>=0x7ff00000) { uint32_t lx; - GET_LOW_WORD(lx,x); - if(((hx&0xfffff)|lx)!=0) + GET_LOW_WORD(lx,x); + if(((hx&0xfffff)|lx)!=0) return x+x; /* NaN */ else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */ } @@ -130,17 +129,17 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ } /* argument reduction */ - if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ + if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb; } else { - k = invln2*x+halF[xsb]; + k = (int32_t)(invln2*x+halF[xsb]); t = k; hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */ lo = t*ln2LO[0]; } x = hi - lo; - } + } else if(hx < 0x3e300000) { /* when |x|<2**-28 */ if(huge+x>one) return one+x;/* trigger inexact */ } @@ -149,19 +148,18 @@ P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */ /* x is now in primary range */ t = x*x; c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5)))); - if(k==0) return one-((x*c)/(c-2.0)-x); + if(k==0) return one-((x*c)/(c-2.0)-x); else y = one-((lo-(x*c)/(2.0-c))-hi); if(k >= -1021) { uint32_t hy; - GET_HIGH_WORD(hy,y); - SET_HIGH_WORD(y,hy+(k<<20)); /* add k to y's exponent */ + GET_HIGH_WORD(hy, y); + SET_HIGH_WORD(y, hy + (k<<20)); /* add k to y's exponent */ return y; } else { uint32_t hy; - GET_HIGH_WORD(hy,y); - SET_HIGH_WORD(y,hy+((k+1000)<<20)); /* add k to y's exponent */ + GET_HIGH_WORD(hy, y); + SET_HIGH_WORD(y, hy + ((k+1000)<<20));/* add k to y's exponent */ return y*twom1000; } } - #endif /* defined(_DOUBLE_IS_32BITS) */ |