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authorMark Wielaard <mark@gcc.gnu.org>2006-03-10 21:46:48 +0000
committerMark Wielaard <mark@gcc.gnu.org>2006-03-10 21:46:48 +0000
commit8aa540d2f783474d1d2e06f16744bf67b9c1facc (patch)
treeea38c56431c5d4528fb54254c3f8e50f517bede3 /libjava/classpath/native/fdlibm/e_exp.c
parent27079765d00123f8e53d0e1ef7f9d46559266e6d (diff)
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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.c54
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) */